JCECE cheat sheet

Projectile range on level ground: R = u²sin2θ/g, maximum at θ = 45°; maximum height H = u²sin²θ/(2g).

For a particle in equilibrium under three coplanar forces, each force is proportional to the sine of the angle between the other two (Lami's theorem).

First law of thermodynamics: dQ = dU + dW; for an isothermal ideal-gas process dU = 0, so dQ = dW = nRT ln(V₂/V₁).

Carnot efficiency η = 1 − T_cold/T_hot with temperatures in kelvin; no real engine between the same reservoirs exceeds it.

Kirchhoff's rules: junction rule ΣI = 0 (charge conservation); loop rule ΣV = 0 (energy conservation), with emf positive in the direction of rise.

de Broglie wavelength λ = h/p = h/√(2mK); for an electron accelerated through V volts, λ ≈ 12.27/√V ångström.

Standard RC charging: q(t) = Q₀(1 − e^(−t/RC)); time constant τ = RC, and q reaches 63.2% of Q₀ at t = τ.

Dimensional check: only like dimensions add or equate; arguments of exp, log, and trig functions must be dimensionless.

Human cardiac cycle ≈ 0.8 s at 72 beats/min: atrial systole 0.1 s, ventricular systole 0.3 s, joint diastole 0.4 s.

Cardiac output = stroke volume × heart rate; resting values ≈ 70 mL × 72 min⁻¹ ≈ 5 L/min.

Oxygen–haemoglobin curve shifts right (reduced affinity) with ↑CO₂, ↑H⁺ (↓pH), ↑temperature, and ↑2,3-BPG (Bohr effect).

Nephron: filtration at glomerulus, obligatory reabsorption in proximal tubule (~65–70% of filtrate), countercurrent concentration in loop of Henle.

Resting membrane potential ≈ −70 mV, set mainly by K⁺ permeability; Na⁺/K⁺-ATPase pumps 3 Na⁺ out per 2 K⁺ in.

Mendelian testcross ratio 1:1 (Aa × aa); dihybrid F₂ phenotypic ratio 9:3:3:1; codominance in AB blood group gives 1:2:1.

Hormone feedback: ↑thyroid hormones suppress TSH and TRH (negative feedback); low Ca²⁺ raises parathyroid hormone, which raises blood Ca²⁺.

Enzyme kinetics: Michaelis–Menten v = Vmax[S]/(Km + [S]); Km equals the substrate concentration at half Vmax.

Normal adult vital signs: temperature 36.5–37.5 °C, pulse 60–100/min, respiration 12–20/min, BP < 120/80 mmHg, SpO₂ ≥ 95%.

Drug-dose formula: dose required = (desired dose / stock strength) × stock volume; check paediatric doses per kg body weight.

Intravenous drip rate (drops/min) = (volume in mL × drop factor) ÷ time in minutes; drop factor is set by the giving set.

Pressure-ulcer staging: Stage 1 intact skin with non-blanchable erythema; Stage 2 partial-thickness loss; Stage 3 full-thickness; Stage 4 exposed bone, tendon, or muscle.

Body-mass index = weight (kg) / height² (m²); adult overweight 25–29.9, obesity ≥ 30.

Isolation precautions: contact (gloves/gown), droplet (>5 µm, surgical mask, distance >1 m), airborne (<5 µm, N95 plus negative-pressure room).

Fluid balance record: intake = oral + IV + feeds; output = urine + vomit + drainage + insensible loss (~500–800 mL/day adult).

Normal urine output ≈ 0.5–1 mL/kg/h; oliguria is < 400 mL/24 h in an adult.

Partograph action line: plot cervical dilatation against time; crossing the alert line or dilatation < 1 cm/h in active labour signals need for referral.

Active management of third stage of labour: uterotonic after delivery, controlled cord traction, uterine massage - reduces postpartum haemorrhage.

APGAR scored at 1 and 5 minutes: Appearance, Pulse, Grimace, Activity, Respiration; each 0–2, total 0–10; ≥7 is normal.

Expected date of delivery: Nägele's rule - first day of last menstrual period + 7 days − 3 months + 1 year.

Pregnancy-induced hypertension: BP ≥ 140/90 mmHg after 20 weeks; pre-eclampsia adds proteinuria; eclampsia adds convulsions.

Exclusive breastfeeding for the first 6 months; colostrum is rich in immunoglobulin A and should not be discarded.

Oral rehydration salts: WHO low-osmolarity formula has total osmolarity 245 mOsm/L, sodium 75 mmol/L, glucose 75 mmol/L.

Cold chain: OPV and most vaccines stored at 2–8 °C; avoid freezing adsorbed vaccines such as DPT, hepatitis B, and tetanus toxoid.

Half-life t½ = 0.693/k for first-order elimination; after n half-lives the fraction remaining is (1/2)ⁿ.

First-order kinetics: elimination rate is proportional to plasma concentration, so t½ is constant; zero-order elimination gives a variable t½.

Volume of distribution Vd = dose / plasma concentration; clearance CL = k × Vd; steady-state concentration ≈ (F × dose rate)/CL.

Bioavailability F = (AUC_oral / AUC_IV) × (dose_IV / dose_oral); intravenous bioavailability is defined as 1.

Henderson–Hasselbalch: pH = pKa + log([base]/[acid]); weak acids are better absorbed in the acidic stomach, weak bases in the intestine.

Tablet hardness, friability (<1% mass loss), and disintegration time are standard quality-control tests; enteric coatings resist gastric pH.

Sterile products: autoclaving 121 °C at 15 psi for 15–20 min; dry-heat sterilization 160 °C for 2 h; membrane filtration 0.22 µm for heat-labile solutions.

Scheduled drugs require prescription records retained per statute; narcotics need separate double-locked storage and register entries.

Acid–base: respiratory acidosis = ↓pH with ↑PaCO₂; metabolic acidosis = ↓pH with ↓HCO₃⁻; compensation never fully corrects pH.

Anion gap = Na⁺ − (Cl⁻ + HCO₃⁻), normal 8–12 mmol/L; raised gap implies added acid (ketoacidosis, lactic acidosis, toxins).

Acute myocardial infarction: ST elevation in contiguous leads localises injury; troponin rises 3–6 h after onset and stays elevated for days.

Diabetes diagnostic thresholds: fasting glucose ≥ 126 mg/dL, 2-h OGTT ≥ 200 mg/dL, HbA1c ≥ 6.5%; random ≥ 200 mg/dL with symptoms is diagnostic.

Antibiotic choice follows culture and sensitivity; empirical therapy is narrowed once the organism is identified (de-escalation).

Trauma primary survey sequence: Airway with cervical spine control, Breathing, Circulation, Disability, Exposure (ABCDE).

Sensitivity, specificity, and predictive values: predictive value depends on disease prevalence, whereas sensitivity and specificity do not.

Standard first-line antitubercular regimen in the intensive phase is four drugs (isoniazid, rifampicin, pyrazinamide, ethambutol) for two months.

Ohm's law V = IR; series resistance adds (R = R₁ + R₂), parallel conductance adds (1/R = 1/R₁ + 1/R₂).

Thevenin's theorem: any linear two-terminal network equals a voltage source V_th in series with R_th, with R_th found by killing independent sources.

Maximum power transfer to a load occurs when R_load = R_th; efficiency at that point is 50%.

Transformer emf per turn is common to both windings: V₁/V₂ = N₁/N₂ = I₂/I₁ for an ideal transformer.

Three-phase star connection: line voltage = √3 × phase voltage, line current = phase current; in delta, line current = √3 × phase current.

Diode rectifier output: half-wave average = Vm/π, full-wave average = 2Vm/π; ripple frequency is f for half-wave and 2f for full-wave.

Boolean identities: A + A′B = A + B; De Morgan's laws (AB)′ = A′ + B′ and (A + B)′ = A′B′.

Binary-coded decimal uses 4 bits per decimal digit; hexadecimal digit = 4 binary bits, so one byte is two hex digits.

Micrometer least count = pitch of screw / number of divisions on thimble; a 0.5 mm pitch with 50 divisions gives 0.01 mm.

Vernier least count = smallest main-scale division / number of vernier divisions (commonly 0.02 mm).

Cutting speed (m/min) = π × D × N / 1000, where D is diameter in mm and N is spindle speed in rpm.

Drill point angle 118° for general steel; lathe tool clearance and rake angles determine chip flow and tool life.

Limits and fits: clearance fit has shaft maximum below hole minimum; interference fit has shaft minimum above hole maximum; transition lies between.

Tolerance is the difference between upper and lower limits; allowance is the intentional minimum clearance or maximum interference.

Ohm's law and power: P = VI = I²R = V²/R; domestic supply in India is 230 V, 50 Hz single phase.

Electrical safety: earth wire connects exposed metal to ground; fuse rating is chosen just above normal load current.

Screw-thread notation M10 × 1.5 means metric thread of 10 mm nominal diameter and 1.5 mm pitch; pitch = 1/threads per inch for inch threads.

Taper turning by swivelling the compound slide: half-angle = tan⁻¹((D − d)/2L).

Welding: in arc welding the electrode may be consumable; in gas welding a neutral flame has equal oxygen and acetylene, giving a clean weld.

Sheet-metal bend allowance = (π/180) × bend angle × (inside radius + K × thickness), with K the neutral-axis factor.

Measurement units: 1 inch = 25.4 mm; 1 kgf ≈ 9.81 N; 1 hp ≈ 746 W.

A transformer does not change frequency; it changes voltage and current in inverse ratio for an ideal device.

Single-phase induction motors are not self-starting; a capacitor or shaded pole provides the starting phase shift.

House wiring: live (phase) brown/red, neutral black/blue, earth green; the switch is always placed in the live conductor.

Normal blood counts: haemoglobin 13–17 g/dL (male), 12–15 g/dL (female); WBC 4,000–11,000/µL; platelets 1.5–4.5 lakh/µL.

ECG intervals: PR 0.12–0.20 s, QRS < 0.12 s, QT varies with rate; a prolonged PR indicates first-degree heart block.

Blood groups: O negative is the universal red-cell donor; AB positive is the universal recipient; Rh-negative mothers need anti-D prophylaxis.

Universal precautions apply to all patients: gloves for contact with body fluids, hand hygiene before and after every procedure.

Autoclave validation uses biological indicators (Geobacillus stearothermophilus spores) and chemical indicator strips.

Centrifugation separates blood into plasma (top) and cells; serum is plasma without clotting factors, obtained from clotted blood.

Gram staining sequence: crystal violet, iodine, decolouriser, safranin; Gram-positive organisms retain the purple crystal violet–iodine complex.

Reference ranges are method-dependent; a result is interpreted against the reporting laboratory's own range, not a universal value.

Stress σ = F/A; strain ε = ΔL/L; Young's modulus E = σ/ε in the linear elastic region up to the proportional limit.

Simply supported beam with central point load W and span L: maximum bending moment = WL/4 at midspan; maximum deflection = WL³/(48EI).

Bending equation M/I = σ/y = E/R relates moment, second moment of area, stress, and radius of curvature.

Carnot and Rankine cycles: thermal efficiency of a simple Rankine cycle = (h₁ − h₂) − (h₄ − h₃) divided by (h₁ − h₄), using steam-table enthalpies.

Continuity equation A₁V₁ = A₂V₂ for incompressible flow; Bernoulli's equation p/ρg + V²/2g + z is constant along a streamline.

Reynolds number Re = ρVD/µ; flow is laminar below about 2,000 in a pipe and turbulent above about 4,000.

Truss analysis: a perfect simple truss has m = 2j − 3 members for j joints; method of joints uses ΣFx = ΣFy = 0 at each joint.

Hardness tests: Brinell uses a 10 mm ball and load/depth area; Rockwell uses a cone or ball and reads depth directly.

Cell cycle: G1, S (DNA replication), G2, M; human somatic cells have 46 chromosomes, gametes 23 after meiosis.

Glycolysis yields net 2 ATP and 2 NADH per glucose; the Krebs cycle and oxidative phosphorylation bring the total to about 30–32 ATP.

Photosynthesis: light reactions in thylakoids produce ATP and NADPH; the Calvin cycle in the stroma fixes CO₂ via RuBisCO.

Blood clotting cascade converges on thrombin converting fibrinogen to fibrin; vitamin K is required for factors II, VII, IX, and X.

Respiratory: tidal volume ≈ 500 mL; vital capacity = tidal + inspiratory reserve + expiratory reserve; residual volume cannot be exhaled.

Immunoglobulins: IgG crosses the placenta, IgM is the first antibody in infection, IgE mediates allergy, IgA is secreted in milk and mucosa.

Nervous system: resting potential is maintained by K⁺ leak and the Na⁺/K⁺ pump; an action potential depolarises via voltage-gated Na⁺ channels.

Osmosis and tonicity: red cells shrink in hypertonic solution and swell in hypotonic solution; 0.9% NaCl is isotonic.

Nursing process steps in order: assessment, diagnosis, planning, implementation, evaluation - evaluation feeds back into reassessment.

Maslow's hierarchy orders needs from physiological to safety, love, esteem, and self-actualisation; physiological needs are met first.

Pain scales: numeric rating 0–10 for adults, Wong–Baker faces for children; reassess after every analgesic intervention.

Medication rights include right patient, drug, dose, route, time, and documentation; verify identity with two identifiers.

Wound healing phases: haemostasis, inflammation, proliferation, maturation; primary intention heals with minimal granulation.

Positioning: Fowler's (45–60°) aids breathing; Trendelenburg is used with caution; lateral position relieves pressure on the sacrum.

Postoperative care: monitor airway, vital signs, wound, drains, urine output, and early mobilisation to prevent deep-vein thrombosis.

Infection control: medical asepsis reduces organism spread; surgical asepsis keeps objects sterile in invasive procedures.

Stages of labour: first stage from onset to full dilatation, second stage to delivery of baby, third stage to delivery of placenta, fourth stage the first hour after.

Normal fetal heart rate 110–160 beats/min; auscultate every 30 minutes in the first stage and every 5 minutes in the second.

Postpartum haemorrhage: blood loss > 500 mL after vaginal delivery or > 1,000 mL after caesarean; uterine atony is the commonest cause.

Newborn resuscitation: warm, dry, stimulate, position airway; if not breathing, start positive-pressure ventilation with room air.

Kangaroo mother care: skin-to-skin contact with exclusive breastfeeding reduces hypothermia and mortality in low-birth-weight infants.

Immunisation schedule in India starts at birth with BCG, oral polio zero dose, and hepatitis B birth dose.

Family planning: condoms also protect against infection; oral pills are taken daily; IUCD can be inserted postpartum with trained provider.

Danger signs in pregnancy: bleeding, severe headache with blurred vision, reduced fetal movement, fever, and leaking fluid - refer urgently.

Prescription parts: superscription, inscription (drug and strength), subscription (dispensing directions), signa (patient directions), and prescriber details.

Solutions: molarity = moles of solute per litre of solution; normality = equivalents per litre; percentage w/v means grams per 100 mL.

Isotonicity: 0.9% w/v sodium chloride is isotonic with blood; sodium chloride equivalent method converts a drug amount to its NaCl equivalent.

Suspensions need a suspending agent and are assessed for sedimentation volume (F = Vu/Vo) and ease of redispersion.

Pharmacognosy: alkaloids are basic nitrogenous plant constituents (e.g., morphine, quinine); glycosides yield a sugar plus aglycone on hydrolysis.

Drug interactions may be pharmaceutical (in the syringe), pharmacokinetic (absorption, distribution, metabolism, excretion), or pharmacodynamic.

Adverse drug reaction reporting uses a suspected-cause assessment; the Naranjo scale scores the likelihood of causality.

Good manufacturing practice requires validated processes, qualified personnel, documented batch records, and stability data supporting shelf life.

Shock types: hypovolaemic, cardiogenic, distributive (septic, anaphylactic), and obstructive; management begins with airway and volume status.

Acute kidney injury staging uses serum creatinine rise and urine output; pre-renal causes improve with volume, intrinsic do not.

Stroke: thrombolysis window is generally up to 4.5 hours from onset for eligible ischaemic stroke; CT excludes haemorrhage first.

Sepsis: suspected infection plus organ dysfunction; measure lactate, take cultures before antibiotics, and give broad-spectrum antibiotics early.

Anaemia classification by mean corpuscular volume: microcytic (iron deficiency, thalassaemia), normocytic, macrocytic (B12, folate deficiency).

Electrolyte correction: rapid sodium correction risks osmotic demyelination; rapid potassium correction risks arrhythmia - correct gradually.

Commonest site of peptic ulcer is duodenal bulb; Helicobacter pylori eradication uses a proton-pump inhibitor plus two or three antibiotics.

Paediatric dehydration: assess skin turgor, sunken eyes, and lethargy; severe dehydration needs intravenous Ringer lactate or normal saline.

Capacitor impedance Z_C = 1/(jωC), inductor impedance Z_L = jωL; resonance occurs at f = 1/(2π√(LC)).

Quality factor Q = (1/R)√(L/C) for a series resonant circuit; bandwidth = f₀/Q.

Op-amp ideal characteristics: infinite open-loop gain, infinite input impedance, zero output impedance, infinite bandwidth, zero offset.

Inverting amplifier gain = −R_f/R_in; non-inverting gain = 1 + R_f/R_in; a virtual short holds at the op-amp inputs in negative feedback.

Binary arithmetic: 2's complement subtraction adds the complement; overflow in signed addition occurs when carries into and out of the sign bit differ.

Flip-flop types: SR, JK (toggle with J = K = 1), D (data latch), T (toggle); a counter is a cascade of flip-flops.

Modulation: AM bandwidth = 2 × modulating frequency; FM has constant amplitude and better noise immunity at the cost of bandwidth.

Nyquist criterion: sample at more than twice the highest signal frequency to avoid aliasing; quantisation error falls by 6 dB per added bit.

Fits designation: H7/g6 is a clearance fit; H7/p6 is interference; H7/k6 is a transition fit under the hole-basis system.

Surface roughness Ra is the arithmetic mean deviation; lower Ra means a smoother surface, achieved by finer feed and higher speed.

Lathe operations: turning reduces diameter, facing shortens length, boring enlarges an internal hole, and threading cuts a helix.

Milling: cutting speed and feed per tooth determine table feed = feed per tooth × number of teeth × rpm.

Welding defects include porosity, slag inclusion, undercut, and lack of penetration; radiographic testing detects internal defects.

Electrical units: current in amperes, voltage in volts, resistance in ohms; a wattmeter measures power directly.

Three-phase supply: 415 V line-to-line gives 240 V phase-to-neutral; star–delta starters reduce starting current.

Preventive maintenance schedule covers lubrication, belt tension, fastener torque, and insulation resistance checks.

Gear train ratio = product of driven teeth / product of driver teeth; simple gear train ratio equals the ratio of the two wheels.

Belt drive: velocity ratio = N₁/N₂ = D₂/D₁; slip reduces the actual driven speed below the ideal value.

Pulley systems: a single movable pulley halves the effort; a block of n supporting rope segments gives mechanical advantage n.

First-angle projection places the top view below the front view; third-angle places the top view above the front view.

Isometric drawing uses 30° axes with full scale along each; isometric length = 0.816 × true length for a true-scale conversion.

Solder and flux: flux removes oxide during soldering; a cold joint is dull and brittle and must be reheated.

Motor control: a contactor switches the load while the push-button carries only coil current; an overload relay protects the motor.

Energy cost = power (kW) × time (h) × tariff per kWh; a 1,000 W appliance run for 2 hours uses 2 units.

Blood collection order for capillary/dilution: EDTA for haematology, citrate for coagulation (9:1 blood to citrate), plain or gel for biochemistry.

Haemoglobin measurement by Sahli's acid haematin method or cyanmethaemoglobin; anaemia is haemoglobin below the age- and sex-specific range.

Urinalysis dipstick: protein, glucose, ketones, blood, nitrite, leukocyte esterase, pH, and specific gravity; confirm positives microscopically.

Microscopy: magnification = eyepiece × objective; oil immersion (100×) with immersion oil gives the highest resolution for bacteria.

Sterilisation vs disinfection: sterilisation kills all microbes including spores; disinfection reduces pathogens on inanimate surfaces.

Biomedical waste segregation: yellow (human anatomical and soiled waste), red (contaminated recyclable plastics), white (sharps), blue (glass).

ECG lead placement: limb leads on the wrists and ankles; chest leads V1–V6 across the precordium; avoid misplacement to prevent artifact.

Quality control: run normal and abnormal control samples with each batch and plot Levey–Jennings charts to detect drift.

Coulomb's law F = kq₁q₂/r² with k ≈ 9 × 10⁹ N·m²/C²; electric field of a point charge E = kq/r².

Gauss's law: net flux through a closed surface = enclosed charge/ε₀; applies to spheres, cylinders, and infinite sheets.

Capacitance of a parallel-plate capacitor C = ε₀A/d; energy stored U = ½CV²; capacitors in series add reciprocally.

Magnetic force on a moving charge F = qvB sinθ; on a current-carrying wire F = BIL sinθ; direction from Fleming's left-hand rule.

Faraday's law: induced emf = −dΦ/dt; Lenz's law fixes the direction so the induced current opposes the change in flux.

Snell's law n₁sinθ₁ = n₂sinθ₂; critical angle sinθ_c = n₂/n₁ for total internal reflection when n₁ > n₂.

Lens and mirror formula 1/f = 1/v − 1/u (sign convention) or 1/v + 1/u = 1/f for lenses with real-is-positive convention; power P = 1/f in metres.

Young's double slit: fringe width β = λD/d; a grating with N slits per metre gives maxima at d sinθ = nλ.

Cranial nerves: 12 pairs; vagus (X) supplies thoracic and abdominal viscera; facial (VII) controls facial expression and taste on the anterior tongue.

Bone types: long (femur), short (carpals), flat (sternum), irregular (vertebra), sesamoid (patella); the adult skeleton has 206 bones.

Digestion: salivary amylase starts starch digestion; pepsin works in acid stomach; pancreatic lipase and bile salts handle fats in the small intestine.

Liver functions include bile production, glycogen storage, detoxification, and plasma protein synthesis (albumin, clotting factors).

Kidney regulation: ADH increases water reabsorption; aldosterone increases Na⁺ reabsorption and K⁺ excretion; ANP promotes sodium loss.

Reproduction: spermatogenesis produces four sperm per primary spermatocyte; oogenesis yields one ovum and polar bodies per primary oocyte.

Respiratory control: the medulla sets the rhythm; central chemoreceptors respond mainly to CO₂/pH, peripheral carotid bodies to low O₂.

Vitamin deficiencies: A - night blindness; B1 - beriberi; C - scurvy; D - rickets; K - prolonged clotting time.

Oxygen therapy: nasal cannula delivers about 24–44% at 1–6 L/min; a non-rebreather mask delivers close to 90–100% at 10–15 L/min.

Suctioning is limited to about 10 seconds per pass with pre-oxygenation; sterile technique prevents respiratory infection.

Intake–output charting and daily weight are the most reliable bedside measures of fluid status; 1 kg change ≈ 1 L fluid.

Wound dressing: clean from clean to dirty, use sterile gloves for the wound, and date the dressing; document size, drainage, and odour.

Drug administration: verify allergies, check the expiry date, and never administer a drug prepared by another person without verification.

Preoperative checklist: consent, fasting status, identification band, investigations, removal of jewellery and dentures, and bladder emptying.

Pressure-relief: reposition the immobile patient at least every two hours and use a validated risk scale to identify risk.

Documentation is legal evidence; record objectively, in chronological order, with time, signature, and designation.

Antenatal visits in a normal pregnancy: at least four visits - first trimester, around 26 weeks, 32 weeks, and 36 weeks - with risk assessment each time.

Estimated blood loss and vital signs guide postpartum monitoring; check uterine tone, lochia, perineum, and bladder in the first hour.

Newborn assessment: birth weight, length, head circumference, Apgar, feeding, and screening for congenital hypothyroidism and hearing.

Breastfeeding positioning: baby's mouth wide, chin touching breast, more areola visible above than below, and no nipple pain after latch.

Immunisation cold chain and open-vial policy must be followed; record every dose in the mother-and-child protection card.

Referral criteria in labour: obstructed progress, fetal distress, antepartum haemorrhage, cord prolapse, and eclampsia require emergency transfer.

Postnatal care includes iron and folic acid supplementation, family-planning counselling, and screening for postpartum depression.

Newborn danger signs: not feeding, fast breathing, chest indrawing, fever or hypothermia, convulsions, and jaundice of the palms and soles.

Prescription abbreviations: b.d. twice daily, t.d.s. three times daily, q.i.d. four times daily, p.o. by mouth, p.r.n. as required, stat immediately.

Solid dosage forms: tablets may be uncoated, film-coated, enteric-coated, or sustained-release; sustained-release reduces dosing frequency.

Ointments and creams: ointments are greasy and occlusive (hydrocarbon bases); creams are emulsions and wash off with water.

Suppository bases: cocoa butter melts at body temperature; PEG bases dissolve; theobroma oil is a common fatty base.

Pharmacopoeial standards specify identity, assay, and limits for impurities; the Indian Pharmacopoeia is the national standard.

Antibiotic mechanisms: cell-wall synthesis inhibition (penicillins), protein synthesis inhibition (aminoglycosides), and folate antagonism (sulfonamides).

Pharmacovigilance detects signals from spontaneous reports; serious adverse events must be reported within the statutory timeframe.

Storage conditions: protect from light and moisture; insulin and vaccines are refrigerated at 2–8 °C and never frozen.

Chest radiograph zones: assess position, inspiration, rotation, and penetration before interpretation; silhouetting localises opacity to a lobe.

Abdominal pain: migration of pain to the right iliac fossa suggests appendicitis; Murphy's sign suggests cholecystitis.

Fracture description: site, pattern, displacement, angulation, and joint involvement; open fractures need early antibiotics and debridement.

Diabetes complications: microvascular (retinopathy, nephropathy, neuropathy) and macrovascular (coronary, cerebral, peripheral arterial disease).

Thyroid function tests: primary hypothyroidism shows high TSH with low free T4; primary hyperthyroidism shows low TSH with high free T4.

Meningitis: neck stiffness, photophobia, and fever; lumbar puncture after excluding raised intracranial pressure; empirical antibiotics first.

Anaemia in pregnancy is commonly iron deficiency; haemoglobin below 11 g/dL in the first trimester defines anaemia.

Fluid resuscitation in adults typically uses isotonic crystalloid boluses with reassessment of pulse, blood pressure, and urine output.

Number systems: decimal 10 = binary 1010 = octal 12 = hexadecimal A; convert by repeated division or by grouping bits.

Logic minimisation: Karnaugh maps group 1, 2, 4, or 8 adjacent cells in powers of two to eliminate variables.

Microprocessor basics: program counter holds the next instruction address; the stack uses last-in-first-out order with push and pop.

Memory: RAM is volatile read/write; ROM is non-volatile; cache reduces average access time by exploiting locality.

Communication: bandwidth of a channel is limited by Shannon capacity C = B log₂(1 + S/N).

Transmission lines: characteristic impedance Z₀ = √(L/C); a line terminated in Z₀ has no reflection.

Antennas: half-wave dipole length ≈ 0.5λ × 0.95 (end effect); gain and directivity are related by efficiency.

Instrumentation: an ideal voltmeter has infinite resistance and an ammeter zero resistance; loading errors arise otherwise.

Shaft and key: a key transmits torque T = F × r; key shear stress τ = F/(width × length) - check shear before crushing.

Riveted joints: single-riveted lap joint efficiency = strength of joint / strength of solid plate; rivet pitch affects tearing strength.

Bearings: ball bearings carry radial loads; taper roller bearings carry combined radial and thrust loads; clearance affects vibration.

Lubrication: viscosity falls as temperature rises; the correct grade is specified by the manufacturer and checked with a viscosity chart.

Safety: lockout–tagout isolates energy before maintenance; guards must remain fitted during machine operation.

Welding symbols: a fillet weld is shown as a triangle; the arrow side is welded on the arrow side, the other side above the reference line.

Hand tools: a spanner size matches the nut across flats; using a loose spanner damages the nut and risks injury.

Power transmission: torque T = 9,550 × kW / rpm, with T in newton-metres, linking motor rating to shaft speed.

Electrical wiring circuits: a one-way switch controls one lamp; a two-way switch pair controls one lamp from two positions (staircase circuit).

Cable selection depends on current-carrying capacity, voltage drop, and insulation type; voltage drop should stay within the permitted percentage.

Earthing resistance is measured with an earth tester; a lower value improves fault-current path and protection operation.

Refrigeration: the vapour-compression cycle has compression, condensation, expansion, and evaporation; the evaporator absorbs heat.

Air conditioning: sensible heat changes dry-bulb temperature; latent heat changes moisture content; both load the cooling coil.

Estimating and costing: quantity = length × breadth × depth for volumes; add wastage percentage to material quantities.

Drawing conventions: hidden edges are dashed, centre lines are chain lines, and dimension lines carry arrowheads at both ends.

Occupational health: use personal protective equipment matched to the hazard - helmet, goggles, gloves, and safety footwear.

Radiography: ALARA keeps dose as low as reasonably achievable; lead aprons and collimation protect the patient and staff.

X-ray production: electrons accelerate from cathode to anode; the anode target material and kVp determine beam quality and penetration.

Ultrasound: higher frequency gives better resolution but less penetration; gel provides acoustic coupling.

Laboratory safety: treat all specimens as infectious; use a biological safety cabinet for aerosols and disinfect benches after work.

Blood transfusion: check patient identity and blood group against the unit; monitor for fever, rash, or breathlessness in the first 15 minutes.

Specimen rejection criteria include insufficient volume, wrong container, unlabelled or mislabelled sample, and delayed transport.

Physiotherapy modalities: ultrasound, TENS, and cryotherapy each have defined indications and contraindications such as application over malignancy.

Medical records: maintain confidentiality, record entries legibly with date and time, and never alter a completed record.

Kinematics: v = u + at, s = ut + ½at², v² = u² + 2as apply only for constant acceleration.

Newton's second law F = ma; work–energy theorem states net work equals change in kinetic energy.

Moment of inertia of a solid cylinder about its axis = ½MR²; a thin rod about its centre = ML²/12.

Stress–strain curve: proportional limit, yield point, ultimate strength, and fracture; ductile materials show a long plastic region.

Thermal expansion: ΔL = αLΔT; linear expansivity α relates to area (2α) and volume (3α) coefficients.

Heat transfer: conduction Q/t = kAΔT/L; Stefan–Boltzmann radiation power = εσAT⁴.

Fluid pressure at depth p = p₀ + ρgh; buoyant force equals the weight of displaced fluid (Archimedes' principle).

Dimensional analysis cannot derive dimensionless constants; it checks consistency and predicts proportionality only.

Cell organelles: mitochondria produce ATP by oxidative phosphorylation; ribosomes synthesise protein; lysosomes contain hydrolytic enzymes.

DNA structure: double helix with adenine–thymine and guanine–cytosine pairs; A–T has two hydrogen bonds, G–C has three.

Transcription makes RNA from a DNA template; translation at the ribosome reads codons three bases at a time into amino acids.

Mendelian inheritance: autosomal dominant appears in every generation; autosomal recessive may skip generations with carrier parents.

Blood pressure regulation: baroreceptors in the carotid sinus and aortic arch reflexly adjust heart rate and vessel tone.

Hormones of the pancreas: insulin lowers blood glucose by promoting uptake and storage; glucagon raises it by glycogenolysis.

Muscle contraction: the sliding filament model uses actin and myosin with calcium and ATP; rigor occurs when ATP is depleted.

Homeostasis: negative feedback restores a set point; positive feedback amplifies a change, as in labour contractions.

Community health: incidence measures new cases in a period; prevalence measures all existing cases at a point or over a period.

Levels of prevention: primary (immunisation, health education), secondary (early diagnosis and treatment), tertiary (rehabilitation).

Epidemiological measures: attack rate for outbreaks; infant mortality rate = infant deaths under one year per 1,000 live births.

Home visiting: plan the route, prioritise high-risk families, and record findings; build rapport before health teaching.

National health programmes focus on maternal and child health, immunisation, tuberculosis, and non-communicable disease screening.

Health education is effective when it uses the learner's language, involves the family, and demonstrates a skill rather than only lecturing.

Referral system: screen at the sub-centre, refer to the primary health centre, then to the district hospital according to need.

Water and sanitation: chlorination, safe storage, and handwashing with soap reduce diarrhoeal disease transmission.

Family-planning methods: barrier, hormonal, intrauterine, and permanent; emergency contraception is used as soon as possible after unprotected intercourse.

Adolescent health: anaemia and menstrual hygiene are priority concerns; iron and folic acid supplementation is a routine measure.

Elderly care: fall risk, polypharmacy, incontinence, and cognitive decline are core assessment areas; review medications regularly.

First aid: for burns, cool with running water; for fractures, immobilise before moving; for choking, give back blows and abdominal thrusts.

Triage in a disaster or casualty: airway and breathing first, then circulation, disability, and exposure; tag and reassess regularly.

Domiciliary midwifery requires a clean delivery kit, hand hygiene, a warm delivery room, and immediate newborn drying.

Counselling skills: active listening, open questions, empathy, and confidentiality build trust and improve adherence.

Records and reports in public health: register pregnancies and births, report notifiable diseases, and keep the eligible-couple register.

Pharmacokinetics: absorption, distribution, metabolism, and excretion; metabolism occurs mainly in the liver via phase I and phase II reactions.

Protein binding reduces free drug available for action; displacement can raise free concentration and cause toxicity.

Enzyme induction (e.g., rifampicin) lowers plasma levels of co-administered drugs; enzyme inhibition (e.g., erythromycin) raises them.

Dose calculation for children may use body surface area: child dose = (child BSA / adult BSA) × adult dose.

Compounding: geometric dilution ensures uniform mixing when a small amount of potent drug is added to a larger bulk.

Sterile dispensing: laminar airflow cabinets maintain a particle-free environment; aseptic technique prevents contamination.

Drug stability is affected by temperature, light, moisture, and pH; accelerated stability studies predict shelf life.

OTC counselling includes dose, frequency, duration, contraindications, and when to seek medical advice.

Cardiac arrest: start compressions at 100–120/min, depth 5–6 cm, with minimal interruption; defibrillate shockable rhythms as early as possible.

Acute coronary syndrome: aspirin is given early unless contraindicated; ST-elevation infarction needs urgent reperfusion.

Asthma vs COPD: asthma is reversible airflow obstruction with diurnal variation; COPD shows persistent obstruction linked to smoking.

Pneumonia severity scores guide admission; assess respiratory rate, oxygen saturation, blood pressure, and confusion.

Poisoning: identify the agent, support airway and breathing, and use antidotes where available (e.g., naloxone for opioids).

Obstetric emergencies: postpartum haemorrhage needs uterine massage, uterotonics, and volume replacement; eclampsia needs magnesium sulphate.

Trauma imaging: FAST ultrasound detects free fluid; CT is the definitive test for internal injury in the stable patient.

Infection control in hospital: hand hygiene is the single most effective measure against healthcare-associated infection.

Thermodynamics: first law for a closed system Q − W = ΔU; for an open steady-flow system enthalpy replaces internal energy.

Ideal gas: PV = nRT; for a fixed mass, P₁V₁/T₁ = P₂V₂/T₂ with temperatures in kelvin.

Entropy increases in an irreversible process; the second law limits the efficiency of heat engines.

Strength of materials: shear stress τ = F/A parallel to the surface; torsional shear stress τ = Tr/J.

Fluid mechanics: head loss by Darcy–Weisbach h_f = f(L/D)(V²/2g); friction factor depends on Reynolds number and roughness.

Machine design: factor of safety = ultimate or yield strength / working stress; fatigue failure occurs below yield under cyclic loading.

Measurement: calibration compares an instrument against a known standard; accuracy is closeness to the true value, precision is repeatability.

Project planning: critical path is the longest duration path through a network; float is the slack available without delaying the project.

Carpentry joints: mortise and tenon for frames, dovetail for drawer corners, and halving joint for flush framing.

Fitting: files are graded by cut (bastard, second cut, smooth); a hacksaw blade has 14, 18, or 24 teeth per inch, with finer teeth for thin sections.

Sheet metal: a rivet joint uses a lap or butt arrangement; the rivet diameter is chosen from sheet thickness and load.

Plumbing: a water seal trap prevents sewer gas entry; pipe slope aids drainage and must follow the specified gradient.

Electrician trade: a megger measures insulation resistance; a multimeter measures voltage, current, and resistance.

Welding current setting depends on electrode diameter; too high current causes spatter and undercut.

Machine safety: rotating parts must be guarded; never measure a rotating workpiece with a steel rule.

Trade theory: standard wire gauge numbers increase as conductor diameter decreases; current capacity falls with smaller cross-section.

Computer hardware: RAM is volatile working memory; the hard disk or SSD is non-volatile storage; the CPU fetches, decodes, and executes.

Networking: IPv4 addresses are 32 bits in four octets; a /24 subnet mask leaves 8 host bits and 254 usable hosts.

Operating systems manage processes, memory, files, and devices; a device driver lets the OS control hardware.

Office tools: spreadsheet formulas begin with '=' and cell references can be relative or absolute; a chart visualises selected data.

Internet services: HTTP/HTTPS for the web, SMTP for sending mail, FTP for file transfer, and DNS to resolve names to addresses.

Data backup: the 3-2-1 rule keeps three copies, on two media types, with one off-site.

Digital safety: strong unique passwords, multi-factor authentication, and updates reduce the risk of account compromise.

Electrical basics for IT: a UPS provides backup power and surge protection; an earth connection protects equipment and users.

Optometry: myopia is corrected with a concave (minus) lens, hyperopia with a convex (plus) lens; astigmatism needs a cylindrical lens.

Visual acuity is recorded as the smallest line read on a Snellen chart at 6 m; 6/6 is normal adult acuity.

Audiometry: pure-tone audiometry plots thresholds in decibels across frequencies; a hearing loss above 25 dB is abnormal in adults.

Dialysis: haemodialysis uses a dialyser with a semipermeable membrane; vascular access care and fluid balance monitoring are essential.

Operation theatre: sterile gown and gloves are donned without touching the outer surface; the sterile field ends at the table edge.

CSSD: instruments are cleaned, packed, and sterilised; sterile packs are stored in a dry, dust-free area with expiry dating.

Physiotherapy gait training uses assistive devices such as walkers and crutches; fit and height are adjusted to the patient.

Patient transport: secure the stretcher, check the airway and lines, and hand over clearly to the receiving unit.

Data structures: an array gives O(1) indexed access; a linked list gives O(1) insertion at a known node but O(n) search.

Stack is last-in-first-out; queue is first-in-first-out; a binary search tree gives O(log n) search when balanced.

Sorting complexity: bubble, insertion, and selection are O(n²); merge sort and heap sort are O(n log n) in the worst case.

Relational databases: primary key uniquely identifies a row; foreign key references another table; normalisation reduces redundancy.

Programming: a variable has a type and scope; a function encapsulates a task with parameters and a return value.

Software engineering: requirements, design, implementation, testing, and maintenance form the development life cycle.

Computer networks: the OSI model has seven layers from physical to application; TCP is connection-oriented, UDP is connectionless.

Security: encryption protects confidentiality, hashing verifies integrity, and digital signatures provide authentication and non-repudiation.

Dental anatomy: humans have 32 permanent teeth and 20 deciduous teeth; incisors cut, canines tear, premolars and molars grind.

Dental caries begins at the enamel surface; fluoride strengthens enamel and reduces demineralisation.

Periodontal disease affects the gums and supporting bone; plaque control and scaling are the first-line measures.

Homeopathy principles include the law of similars and individualised prescribing; potency selection follows the case, not a fixed dose.

Oral hygiene: brush twice daily with fluoride toothpaste and clean between teeth; sugar frequency matters more than total amount.

Local anaesthesia in dentistry: check allergy history and maximum safe dose by body weight before injection.

Infection control in dentistry: sterilise handpieces and instruments, use disposable barriers, and follow sharps disposal rules.

Oral cancer risk factors include tobacco, betel quid, alcohol, and human papillomavirus; early lesions need urgent referral.

Research process: identify the problem, review literature, state objectives and hypotheses, choose a design, collect and analyse data, and report.

Sampling: random selection reduces bias; sample size grows with variability and desired confidence; informed consent is mandatory.

Levels of evidence: systematic reviews and randomised trials rank above cohort, case–control, and expert opinion.

Statistics: mean, median, and mode measure central tendency; standard deviation measures spread; a p-value below 0.05 is commonly significant.

Nursing theories: Orem's self-care deficit, Roy's adaptation model, and Henderson's needs model guide assessment and care planning.

Ethics: autonomy, beneficence, non-maleficence, and justice guide decisions; confidentiality may be breached only where law requires.

Evidence-based practice combines best evidence, clinical expertise, and patient preference.

Quality improvement uses audit against standards, identifies gaps, implements change, and re-audits to confirm improvement.

Neonatal resuscitation algorithm: warm, dry, stimulate, assess breathing; if apnoeic, ventilate; chest compressions if heart rate stays below 60.

Newborn jaundice appearing within 24 hours is pathological and needs urgent bilirubin measurement and phototherapy assessment.

Low birth weight is below 2,500 g; preterm is before 37 completed weeks; both need thermal care and feeding support.

Sepsis in the newborn presents with poor feeding, lethargy, temperature instability, and respiratory distress - refer immediately.

Growth monitoring plots weight-for-age; a flat or falling curve signals faltering growth and needs assessment.

Complementary feeding starts at 6 months with mashed home foods while breastfeeding continues to 2 years.

Adolescent and reproductive health counselling includes menstrual hygiene, anaemia prevention, and delaying early pregnancy.

Community mobilisation for immunisation uses house-to-house visits, due-list tracking, and addressing vaccine hesitancy.

Pharmacology: agonists activate receptors; antagonists block them; partial agonists produce a submaximal response.

Dose–response: ED50 is the dose giving half the maximal effect; the therapeutic index = TD50/ED50, and a low index needs monitoring.

Routes: intravenous gives 100% bioavailability and rapid onset; oral is convenient but subject to first-pass metabolism.

Antibiotic resistance arises from overuse; completing the prescribed course and using culture-guided therapy slow resistance.

Cardiovascular drugs: ACE inhibitors lower blood pressure and can cause dry cough; statins inhibit HMG-CoA reductase.

Analgesics: paracetamol is hepatotoxic in overdose; NSAIDs inhibit cyclo-oxygenase and can cause gastric irritation.

Adverse effects: antihistamines cause sedation; aminoglycosides can damage hearing and kidneys and need level monitoring.

Counselling on inhalers: shake, exhale, actuate while inhaling, hold breath, and rinse the mouth after steroid inhalers.

Paediatrics: neonatal weight loss up to 10% in the first week is normal; breastfeeding jaundice is common and usually benign.

Growth milestones: head control by about 3 months, sitting by 6–8 months, walking by 12–15 months.

Malnutrition assessment uses weight-for-height and mid-upper-arm circumference; oedema indicates kwashiorkor.

Obstetrics: the partograph detects slow labour; fetal heart rate patterns guide the decision for operative delivery.

Gynaecology: abnormal uterine bleeding needs assessment of age, pregnancy status, and endometrial pathology.

Orthopaedics: the neurovascular status of a limb must be checked before and after plaster application.

Psychiatry: depression requires core symptoms for at least two weeks; suicide risk assessment is part of every evaluation.

Dermatology: describe lesions by type, distribution, and symmetry; a punch or excision biopsy confirms doubtful lesions.

Control systems: open-loop transfer function G(s)H(s); closed-loop = G/(1 + GH); stability requires all poles in the left half-plane.

Routh–Hurwitz criterion counts sign changes in the first column to find right-half-plane poles without solving the equation.

Bode plot: a first-order pole gives −20 dB/decade slope and −45° phase at the corner frequency.

PID control: proportional reduces error, integral removes steady-state error, derivative damps oscillation and amplifies noise.

Electrical machines: synchronous speed N_s = 120f/P; slip s = (N_s − N_r)/N_s for an induction motor.

DC motor torque is proportional to armature current; back emf limits armature current at running speed.

Power systems: per-unit values simplify calculations; fault level depends on source impedance and system voltage.

Protection: a relay detects abnormal conditions and a circuit breaker interrupts fault current; coordination prevents unnecessary tripping.

Metrology: a sine bar measures angles using slip gauges; the sine of the angle = height of slip gauge stack / length of the bar.

Surface plate and dial indicator check flatness and runout; zero the indicator on a reference surface first.

Gear cutting: the indexing head divides a circle; the number of turns = 40/N for a 40:1 dividing head.

Heat treatment: annealing softens, normalising refines grain, hardening forms martensite, and tempering restores toughness.

Foundry: sand moulding uses a pattern, cope, drag, sprue, runner, and riser; a riser feeds shrinkage during solidification.

Measurement errors: parallax, zero error, and temperature affect readings; correct by calibration and consistent technique.

Electrical machines: a transformer's rating is in kVA because losses include core loss (voltage-dependent) and copper loss (current-dependent).

Work study: method study improves the process; time study sets the standard time with allowances added to the observed time.

Automobile: four-stroke cycle is suction, compression, power, exhaust; the crankshaft makes two revolutions per cycle.

Engine terms: bore is cylinder diameter, stroke is piston travel, and swept volume = (π/4) × bore² × stroke.

Brakes: disc brakes dissipate heat better; bleeding removes air from hydraulic lines to restore pedal feel.

Battery: a lead-acid cell gives about 2 V; six cells in series make a 12 V battery; check electrolyte level and terminal corrosion.

Transmission: clutch connects and disconnects engine from gearbox; gear ratio changes torque and speed inversely.

Refrigeration and AC: refrigerant flows from compressor to condenser to expansion valve to evaporator; the evaporator cools the space.

Electronics workshop: identify component polarity before soldering; a diode has a band marking the cathode.

Solar installation: panel output depends on irradiance and tilt; an inverter converts DC to AC and must match the load rating.

Dressing and bandaging: clean the wound from centre to periphery, apply a sterile dressing, and bandage with even pressure without restricting circulation.

Vital-sign monitoring in the ward: record temperature, pulse, respiration, blood pressure, and oxygen saturation at the ordered frequency.

Oxygen safety: no smoking or open flame near oxygen; secure cylinders upright and check the flow meter and humidifier.

Catheter care: use aseptic technique, maintain a closed drainage system, keep the bag below bladder level, and document output.

Intravenous cannula care: inspect the site for redness, swelling, or pain; remove the cannula when no longer needed.

Specimen collection: label at the bedside, use the correct container and preservative, and send promptly to the laboratory.

Emergency trolley: check drugs, oxygen, suction, defibrillator, and airway equipment at the start of every shift.

Handover: use a structured format such as situation, background, assessment, and recommendation to convey the patient's status.

Surveying: the level line of sight is horizontal; the line of collimation method keeps a check by comparing rise/fall with reduced levels.

Levelling arithmetic: height of instrument = reduced level of backsight station + backsight reading; reduced level = HI − intermediate sight.

Theodolite: horizontal angles are measured by repetition; face-left and face-right readings average out instrumental error.

Chain surveying: the principle of triangulation fixes points; offsets are measured perpendicular to the chain line.

Concrete mix: nominal grades M20 means characteristic strength 20 N/mm² at 28 days; water–cement ratio controls strength and durability.

Structural steel: yield strength of Fe415 is 415 N/mm²; Fe500 is 500 N/mm², with ductility decreasing as grade rises.

Soil mechanics: void ratio e = Vv/Vs; porosity n = Vv/V; dry unit weight γd = γ/(1 + w).

Estimation: centre-line method and long-wall short-wall method compute quantities of earthwork, brickwork, and concrete.

Microbiology: bacteria are prokaryotes without a nucleus; viruses need a host cell to replicate and are not killed by antibiotics.

Sterilisation by moist heat kills spores at 121 °C and 15 psi; pasteurisation reduces pathogens in milk without sterilising it.

Immunity: active immunity follows infection or vaccination and is long-lasting; passive immunity from antibodies is immediate but short-lived.

Pathology: inflammation has redness, heat, swelling, pain, and loss of function; chronic inflammation shows lymphocytes and fibrosis.

Neoplasia: benign tumours are encapsulated and do not metastasise; malignant tumours invade and spread via blood and lymph.

Genetics: sickle-cell disease is autosomal recessive with a single base substitution in the beta-globin gene.

Pharmacology basics: a drug's half-life determines dosing interval; renal impairment often requires dose reduction.

Nutrition: proteins supply essential amino acids; vitamins are micronutrients needed in small amounts; deficiency produces specific syndromes.

Emergency nursing: assess airway, breathing, circulation, disability, and exposure; start cardiopulmonary resuscitation for cardiac arrest.

Defibrillation: shockable rhythms are ventricular fibrillation and pulseless ventricular tachycardia; deliver shocks as early as possible.

Poisoning first aid: do not induce vomiting after corrosive ingestion; identify the agent and follow the specific antidote protocol.

Burns: estimate extent with the rule of nines; cool with running water, cover with a clean sheet, and avoid ice or ointments.

Fracture immobilisation: splint above and below the fracture, check distal pulse, sensation, and movement before and after.

Triage categories: red immediate, yellow delayed, green minor, black deceased or expectant - reassess as conditions change.

Shock management: lie the patient flat, keep warm, stop bleeding, and give oxygen while arranging urgent transfer.

Documentation in emergencies: record the time of collapse, interventions, drugs given, and response after stabilisation.

Infection prevention: hand hygiene is the single most effective measure; use alcohol-based rub for clean hands and soap for visibly soiled hands.

Personal protective equipment sequence: gown, mask, goggles, then gloves; remove gloves first and perform hand hygiene after removal.

Needle-stick injury: wash with soap and water, do not squeeze, report immediately, and follow post-exposure prophylaxis protocol.

Isolation of tuberculosis patients: airborne precautions with a well-ventilated room and an N95 respirator for staff.

Waste segregation at the point of generation prevents mixing; sharps go into puncture-proof containers.

Immunisation of health workers protects both staff and patients; hepatitis B vaccination is recommended for all nurses.

Antibiotic stewardship: give only on prescription, at the right dose and duration, and never share leftover antibiotics.

Outbreak response: report cases early, isolate, trace contacts, and reinforce hand hygiene and environmental cleaning.

Pharmaceutical analysis: titrimetric assays use a standard solution and indicator; the equivalence point is detected by colour change or instrument.

Spectroscopy: Beer–Lambert law A = εbc relates absorbance to concentration and path length; colorimetry uses visible light.

Chromatography: separation depends on differential partition between mobile and stationary phases; retention time identifies a compound.

Quality control tests for tablets include weight variation, hardness, friability, disintegration, and dissolution.

Microbial limit tests count total aerobic bacteria and detect specified pathogens in non-sterile products.

Validation establishes documented evidence that a process consistently produces a product meeting specifications.

Clinical trials have phases I to IV: safety, efficacy, comparison, and post-marketing surveillance respectively.

Pharmacoeconomics compares cost and outcome of therapies to inform formulary and procurement decisions.

Renal replacement: haemodialysis removes small solutes rapidly; peritoneal dialysis is slower and continuous, preserving residual renal function.

Nephrotic syndrome: proteinuria, hypoalbuminaemia, oedema, and hyperlipidaemia; biopsy guides management in adults.

Liver disease: raised bilirubin with prolonged prothrombin time indicates impaired synthetic function and a worse prognosis.

Gastrointestinal bleeding: resuscitate first, then endoscopy; variceal bleeding needs vasoactive drugs and band ligation.

Respiratory failure: type 1 is hypoxaemia with normal or low CO₂; type 2 adds hypercapnia and needs ventilatory support.

Endocrine emergencies: diabetic ketoacidosis needs fluids, insulin, and potassium replacement; monitor potassium closely.

Haematology: iron deficiency shows low ferritin; vitamin B12 deficiency shows macrocytic anaemia with neurological signs.

Critical care: sedation and analgesia are titrated to a target score; daily assessment for ventilator weaning reduces complications.

Engineering economics: simple interest I = Pnr; compound amount A = P(1 + r)ⁿ; present worth discounts future cash flows.

Depreciation by straight line = (cost − salvage)/life; declining balance applies a fixed percentage to the book value each year.

Break-even quantity = fixed cost / (selling price − variable cost per unit).

Project management: earliest start and finish come from a forward pass; latest start and finish from a backward pass.

Cost estimation: material, labour, overhead, and contingency are added; contingency covers uncertainty, not profit.

Inventory: economic order quantity EOQ = √(2DS/H), with D annual demand, S order cost, and H holding cost per unit per year.

Quality tools: Pareto analysis ranks causes; control charts distinguish common-cause from special-cause variation.

Reliability: for components in series, system reliability is the product of component reliabilities; redundancy raises it.

Turning parameters: depth of cut = (D − d)/2; feed is in mm per revolution; cutting speed in m/min converts to rpm via N = 1000v/(πD).

Drilling: the drill axis must align with the punch mark; use a centre punch and pilot hole for accuracy.

Grinding: a vitrified bond wheel is dressed to restore sharpness; imbalance causes vibration and poor finish.

Welding positions: flat, horizontal, vertical, and overhead; overhead welding needs lower current and shorter arc.

Sheet metal development: the flat length for a bend = straight lengths plus bend allowance; mark bend lines before cutting.

Electrical wiring: a two-way switch circuit uses two switches with a common terminal and two strapper wires between them.

Refrigeration service: evacuate the system before charging; moisture in the system causes ice blockage at the expansion valve.

Estimation: labour cost = time × rate; overheads are applied as a percentage of material or labour cost.

Welding processes: shielded metal arc uses a flux-coated consumable electrode; gas tungsten arc uses a non-consumable tungsten electrode with filler.

Cutting: oxy-acetylene cutting heats steel to ignition temperature, then a jet of oxygen burns the metal; it works on steel, not aluminium.

Brazing and soldering join metals below their melting point using a filler; capillary action draws filler into the joint gap.

Sheet-metal tools: snips cut thin sheet, a nibbler cuts internal shapes, and a folding machine forms straight bends.

Drafting: scale drawing reduces or enlarges the object; the scale ratio is stated on the drawing sheet.

Safety in welding: use a helmet with the correct shade, fume extraction, leather gloves, and fire watch after finishing.

Electrical estimating: count points, measure cable runs, and add accessories; prepare a bill of quantities from the drawing.

Computer applications: a spreadsheet can calculate quantities and costs; a drawing tool produces accurate scaled layouts.

Anatomy and physiology for technicians: the heart has four chambers; the left ventricle pumps blood to the systemic circulation.

Respiratory therapy: nebulisation delivers medication to the airways; a spacer improves inhaler delivery for children.

Cardiac monitoring: attach limb leads to the correct positions and check the gain and paper speed before recording.

Laboratory instrumentation: a spectrophotometer measures absorbance; calibrate with a blank before reading samples.

Blood bank: cross-matching confirms compatibility beyond ABO and Rh; store red cells at 2–6 °C under controlled conditions.

Dialysis machine checks include conductivity, temperature, and pressure alarms before the session starts.

Radiology safety: use the shortest exposure, shield the gonads where appropriate, and monitor staff dosimeters.

First aid in the department: stop bleeding with direct pressure, keep the patient warm, and call for medical help early.

Signals: a continuous-time signal is sampled at the Nyquist rate; a linear time-invariant system is characterised by its impulse response.

Fourier series represents periodic signals as a sum of sines and cosines; Fourier transform extends this to non-periodic signals.

Laplace transform converts differential equations to algebraic ones; the region of convergence determines stability.

Digital logic: a multiplexer selects one of several inputs; a decoder converts binary input to one active output line.

Microcontrollers: an interrupt suspends the main program and runs a service routine; the stack stores the return address.

Communication systems: amplitude modulation has poor noise immunity; frequency modulation trades bandwidth for noise performance.

Power electronics: a thyristor conducts when forward-biased and gate-triggered; it turns off when current falls below the holding value.

Instrumentation: a transducer converts a physical quantity to an electrical signal; a bridge circuit measures small resistance changes.

Embryology: the heart begins to beat around the fourth week; neural tube closure occurs in the third to fourth week of gestation.

Fetal circulation: the umbilical vein carries oxygenated blood; the ductus arteriosus shunts blood from the pulmonary artery to the aorta.

Brain regions: the cerebrum handles higher functions, the cerebellum coordinates movement, and the medulla controls vital reflexes.

Spinal cord: 31 pairs of spinal nerves; sensory fibres enter the dorsal root and motor fibres leave the ventral root.

Endocrine: the pituitary gland is controlled by the hypothalamus; the adrenal medulla secretes adrenaline during stress.

Renal physiology: glomerular filtration rate depends on net filtration pressure and is about 125 mL/min in an adult.

Acid–base balance: the lungs remove carbon dioxide and the kidneys regulate bicarbonate, the main buffer system.

Reproductive cycles: ovulation occurs around day 14 of a 28-day cycle; the corpus luteum secretes progesterone.

Mental health nursing: assess mood, thought, perception, cognition, and risk; a suicide risk assessment is part of every evaluation.

Therapeutic communication uses open questions, reflection, and silence; avoid giving advice or false reassurance.

Psychotropic drugs: antipsychotics can cause extrapyramidal effects; lithium requires periodic blood level monitoring.

De-escalation: maintain a safe distance, speak calmly, offer choices, and call for help if the patient becomes aggressive.

Child health: growth is measured by weight and height; development is assessed by milestones in motor, language, and social domains.

Geriatric nursing: review medications, prevent falls, maintain hydration, and encourage mobility and social contact.

Rehabilitation: set functional goals with the patient and family and measure progress regularly.

Palliative care: relieve pain and other symptoms, address emotional and spiritual needs, and support the family through bereavement.

Antenatal risk factors: age below 18 or above 35, height below 145 cm, previous caesarean, and anaemia increase the risk of complications.

Blood pressure measurement in pregnancy: use the correct cuff size, rest before measuring, and repeat an abnormal reading before referral.

Anaemia in pregnancy is treated with oral iron and folic acid; severe anaemia needs parenteral iron or transfusion and referral.

Gestational diabetes is screened with a glucose challenge; diet, exercise, and insulin when required control blood sugar.

Fetal monitoring during labour: count the heart rate for a full minute after a contraction and record any deceleration.

Episiotomy care: keep the area clean and dry, change pads frequently, and check for infection or gaping at follow-up.

Newborn feeding cues include rooting, hand-to-mouth movements, and opening the mouth; feed on demand, day and night.

Postpartum family planning can begin immediately with a barrier method; lactational amenorrhoea is reliable only under strict criteria.

Dispensing errors are prevented by reading the prescription carefully, confirming ambiguous handwriting, and double-checking calculations.

High-risk drugs such as insulin, heparin, and chemotherapy need independent double checks before administration.

Suspension stability: shaking before use ensures dose uniformity; caking that does not redisperse indicates an unstable product.

Emulsions can crack or cream; a cracked emulsion cannot be redispersed and must be discarded.

Suppository and pessary storage: keep in a cool place; cocoa butter softens at room temperature.

Drug–food interactions include tetracyclines binding calcium in milk and MAO inhibitors interacting with tyramine-rich food.

Pregnancy categories guide prescribing; avoid known teratogens and check the latest product information before dispensing.

Patient counselling on antibiotics includes completing the course, timing relative to food, and reporting rash or diarrhoea.

Ophthalmology: acute angle-closure glaucoma presents with a painful red eye, halos, and a fixed mid-dilated pupil - an emergency.

ENT: acute otitis media shows a bulging red tympanic membrane; persistent hearing loss needs audiometry.

Dermatology: patch testing identifies contact allergy; topical steroids are graded by potency and site of application.

Psychiatry: schizophrenia requires symptoms for at least six months; antipsychotics treat positive symptoms and need metabolic monitoring.

Orthopaedics: compartment syndrome presents with pain out of proportion, tense swelling, and pain on passive stretch - urgent fasciotomy.

Anaesthesia: pre-operative assessment covers airway, allergy, comorbidities, and fasting status; monitor oxygen, ventilation, and circulation.

Paediatric dosing is by weight or body surface area; check the maximum dose before prescribing.

Preventive medicine: screening programmes are worthwhile when the disease is common, detectable early, and treatable.

Engineering materials: ferrous metals contain iron; cast iron has high carbon and is brittle; steel is ductile and weldable.

Non-ferrous metals: aluminium is light and corrosion-resistant; copper conducts electricity well; brass is copper with zinc.

Testing: tensile test gives yield strength, ultimate strength, and elongation; hardness tests indicate wear resistance.

Manufacturing: casting shapes molten metal in a mould; forging shapes hot metal by compressive force and improves grain structure.

Machining: tool wear increases with speed and temperature; cutting fluid cools and lubricates the tool–work interface.

Welding metallurgy: heat-affected zone properties change without melting; preheating reduces cracking in thick sections.

Corrosion: galvanic corrosion occurs between dissimilar metals in an electrolyte; coating or cathodic protection prevents it.

Metrology: gauge blocks are wrung together to build a dimension; calibration traceability links measurements to national standards.

Industrial wiring: a three-phase motor connects in star for starting and delta for running; the star–delta starter reduces starting current.

Motor protection: an overload relay protects against sustained overcurrent; a fuse protects against short circuit.

Earthing: equipment earthing provides a low-resistance path; the earth pit resistance is measured and recorded periodically.

Illumination: lumens measure light output, lux measures illuminance on a surface; the inverse-square law applies to point sources.

Pumps and compressors: a centrifugal pump moves fluid by centrifugal force; a positive-displacement pump moves a fixed volume per cycle.

Bearings and lubrication: over-greasing raises temperature; follow the manufacturer's quantity and interval.

Pneumatics: a filter-regulator-lubricator unit conditions air; pressure is set to the actuator requirement.

Maintenance records: log dates, faults, and actions to plan preventive maintenance and avoid repeat failures.

Beauty and hairdressing: patch-test hair colour 48 hours before application; sanitise tools between clients.

Food production: keep hot food above 60 °C and cold food below 5 °C; store raw meat below cooked food to prevent drip contamination.

Sewing and garment work: seam allowance is the distance from the seam line to the cut edge; take body measurements before drafting a pattern.

Automobile servicing: check tyre pressure when cold; rotate tyres and check tread depth for even wear.

Computer operator duties: back up data regularly, keep antivirus updated, and follow the organisation's password policy.

Electrical appliance repair: unplug before opening the appliance; discharge capacitors before touching the circuit.

Agriculture: seed rate and spacing determine plant population; soil testing guides fertiliser application.

Customer service: confirm the requirement, explain the procedure, and record the transaction for accountability.

Emergency medical technician: scene safety first, then assess responsiveness and call for help; start chest compressions for an unresponsive non-breathing patient.

Airway management: head tilt–chin lift for adults; use a bag-valve-mask with a good seal and watch chest rise.

Bleeding control: apply direct pressure, elevate if possible, and use a tourniquet only for life-threatening limb bleeding.

Fracture and spinal care: immobilise and log-roll a suspected spinal injury; do not remove a helmet unless the airway is obstructed.

Medical emergencies: for suspected stroke, note the time of onset; for hypoglycaemia, give sugar if the patient can swallow.

Vital signs in the field: record pulse, respiration, blood pressure, and oxygen saturation before and after intervention.

Handover to hospital: give the mechanism of injury, findings, treatment given, and response in a structured format.

Infection control in the field: wear gloves, dispose of sharps safely, and clean equipment between patients.

Environmental engineering: biochemical oxygen demand measures oxygen consumed by microbes; chemical oxygen demand measures total oxidisable matter.

Water treatment sequence: screening, coagulation–flocculation, sedimentation, filtration, and disinfection.

Air pollution: particulate matter is classified by size; PM2.5 penetrates deep into the lungs and is more hazardous than PM10.

Solid waste management hierarchy: reduce, reuse, recycle, recover energy, and dispose as the last option.

Noise: sound pressure level in decibels = 20 log(P/P₀); an increase of 10 dB is roughly a tenfold increase in intensity.

Hydrology: runoff = rainfall − losses (infiltration, evaporation, interception); a unit hydrograph gives runoff for one unit of rainfall.

Transportation: the design speed and traffic volume determine lane width and pavement thickness; sight distance must be adequate.

Surveying for roads: a longitudinal section gives levels along the alignment; a cross-section gives widths and side slopes.

Skeletal muscle contraction: calcium binds troponin, moving tropomyosin to expose actin-binding sites for myosin heads.

Nerve conduction: myelinated fibres conduct faster by saltatory conduction; conduction velocity increases with fibre diameter.

Cardiac conduction: the sinoatrial node is the pacemaker; the atrioventricular node delays the impulse before ventricular activation.

Digestive enzymes: pepsin digests protein in acid; trypsin and chymotrypsin act in the alkaline small intestine.

Kidney: the loop of Henle creates a concentration gradient; the collecting duct's water permeability is controlled by ADH.

Blood: plasma is about 55% of blood volume; red cells live about 120 days and are replaced from bone marrow.

Respiration: oxygen is carried mainly by haemoglobin; carbon dioxide is carried mainly as bicarbonate in plasma.

Temperature regulation: the hypothalamus controls heat loss by sweating and vasodilation and heat production by shivering.

Nutrition in nursing: a balanced diet supplies energy, protein, vitamins, and minerals; energy needs rise in fever, trauma, and pregnancy.

Enteral feeding: check tube placement, elevate the head of the bed, and give feeds at the prescribed rate to prevent aspiration.

Parenteral nutrition: monitor blood glucose, electrolytes, and the central line site; change the giving set as per protocol.

Diabetic care: check blood glucose before meals and at bedtime; teach the patient to rotate injection sites.

Hypertension: teach low-salt diet, weight control, regular medication, and home blood pressure monitoring.

Cardiac rehabilitation: graded exercise, risk-factor modification, and education improve recovery after a cardiac event.

Chronic disease self-management: action plans for breathlessness or hypoglycaemia help patients respond early.

Patient education is documented and evaluated; teach-back confirms that the patient understood.

Cold chain monitoring: keep vaccines at 2–8 °C, use a vaccine vial monitor, and never use a vial beyond its discard point.

Immunisation site and route: BCG intradermal on the left upper arm; DPT and hepatitis B intramuscular in the thigh for infants.

Adverse events following immunisation: manage anaphylaxis with adrenaline, position the patient, and report the event.

Growth chart interpretation: a rising curve indicates adequate growth; a flat curve requires feeding assessment and follow-up.

Oral rehydration: give small frequent sips; zinc supplementation for 14 days reduces diarrhoea duration and recurrence.

Danger signs in children: inability to feed, convulsions, lethargy, chest indrawing, and severe dehydration need urgent referral.

Antenatal counselling includes diet, rest, danger signs, institutional delivery, and birth preparedness planning.

Postnatal home visits on days 1, 3, 7, 14, 21, and 42 check mother and newborn and reinforce exclusive breastfeeding.

Pharmaceutical packaging: blister packs protect from moisture; glass is inert and suitable for injectables; plasticisers may leach.

Labelling requirements include drug name, strength, batch number, manufacturing and expiry dates, storage conditions, and warnings.

Controlled-release formulation design uses polymers or osmotic pumps to slow release and reduce peak–trough fluctuation.

Aerosol and inhaler formulations need a propellant or dry-powder carrier; particle size below 5 µm reaches the lower airways.

Ophthalmic preparations must be sterile and isotonic; preservatives are avoided in intraocular products.

Hospital pharmacy inventory uses ABC and VED analysis to prioritise stock control and avoid stock-outs of vital items.

Dispensing calculations: percentage strength × volume gives the amount of drug; convert units carefully between mg and g.

Pharmacovigilance reporting includes the suspected drug, reaction description, time course, and outcome for causality assessment.

Oncology: tumour staging describes extent (TNM); grading describes differentiation; both guide treatment and prognosis.

Chemotherapy: monitor blood counts for myelosuppression; antiemetics and growth factors support treatment tolerance.

Radiotherapy: fractionation spares normal tissue; side effects depend on the site and dose delivered.

Palliative medicine: opioid dosing is titrated to pain; constipation prophylaxis is given alongside opioids.

Infectious disease: fever with rash and travel history suggests specific infections; isolation and notification may be required.

Tuberculosis: sputum microscopy and molecular testing confirm diagnosis; adherence to the full regimen prevents resistance.

HIV: antiretroviral therapy is started for all diagnosed patients; monitor viral load and CD4 count.

Vaccination in adults: consider age, comorbidity, pregnancy, and immune status before recommending specific vaccines.

Engineering drawing: orthographic views follow first- or third-angle projection; the front view shows length and height.

Sectional views use hatching at 45° to show cut material; a half section shows one quarter removed.

Limits and fits on drawings state the nominal size with upper and lower deviations; tolerance is the difference between them.

Geometric tolerancing controls form, orientation, location, and runout; symbols are placed in feature control frames.

Assembly drawings show the relationship of parts; a bill of materials lists part numbers, descriptions, and quantities.

Computer-aided design: parametric models update when dimensions change; layers organise drawing elements.

Surface finish symbols specify roughness value and machining method; a tick mark indicates the surface to be machined.

Thread and weld symbols on drawings must be read with the standard reference to avoid manufacturing errors.

Basic electronics: a diode conducts in forward bias above about 0.7 V for silicon; a Zener diode regulates voltage in reverse breakdown.

Transistor: a bipolar junction transistor amplifies in the active region; base current controls collector current with gain β.

Rectifiers and filters: a capacitor filter smooths the output; a regulator holds the voltage constant against load change.

Soldering: heat the joint, apply solder to the joint not the iron, and avoid movement until the solder solidifies.

Digital basics: binary 1 and 0 represent high and low; logic gates AND, OR, NOT, NAND, and NOR implement Boolean functions.

Measuring instruments: a multimeter selects voltage, current, or resistance ranges; select the correct range before measuring.

Electrical safety: use insulated tools, check the earth connection, and never work on a live circuit without proper precautions.

Printed circuit boards: identify the component side and solder side; check for bridges and cold joints after soldering.

Construction: concrete is mixed in the ratio of cement, sand, and aggregate; curing keeps it moist so strength develops.

Masonry: bricks are soaked before laying; the mortar joint thickness is kept uniform and the wall is plumbed.

Plumbing installation: use the correct pipe size for the fixture; test for leaks before closing the wall.

Painting: surface preparation removes dust and old paint; primer improves adhesion and a second coat gives coverage.

Carpentry: measure twice and cut once; check squareness with a try square before assembly.

Electrical installation: a distribution board has a main switch, circuit breakers, and an earth bar; label each circuit.

Welding fabrication: tack weld first, check alignment, then complete the weld with a consistent travel speed.

Costing: prepare a bill of quantities from the drawing and apply current rates for material and labour.

Medical laboratory: a complete blood count measures haemoglobin, cell counts, and indices; the ESR indicates inflammation.

Biochemistry: blood glucose, urea, creatinine, and liver enzymes are common tests; fasting status affects reference values.

Microbiology culture: streak plate technique isolates colonies; sensitivity testing guides antibiotic selection.

Histopathology: tissue is fixed in formalin, processed, embedded in paraffin, sectioned, and stained with haematoxylin and eosin.

Quality assurance: internal quality control checks precision; external quality assessment compares results with other laboratories.

Phlebotomy: select a suitable vein, apply the tourniquet briefly, and fill tubes in the correct order to avoid contamination.

Point-of-care testing: follow the device instructions, check expiry of strips, and confirm abnormal results with a laboratory test.

Waste disposal in the laboratory: sharps into puncture-proof containers and infectious waste into the designated colour-coded bin.

Probability: P(A ∪ B) = P(A) + P(B) − P(A ∩ B); independent events satisfy P(A ∩ B) = P(A)P(B).

Bayes' theorem updates prior probability with likelihood to give posterior probability; useful for diagnostic test interpretation.

Statistics: standard deviation is the square root of variance; the mean of a large sample tends to a normal distribution (central limit theorem).

Calculus: derivative of xⁿ is nxⁿ⁻¹; the integral of xⁿ is xⁿ⁺¹/(n+1) for n ≠ −1; maxima occur where the derivative is zero and changes sign.

Linear algebra: a matrix is invertible when its determinant is non-zero; eigenvalues satisfy det(A − λI) = 0.

Numerical methods: Newton–Raphson iteration xₙ₊₁ = xₙ − f(xₙ)/f′(xₙ) converges quickly near a root.

Differential equations: a first-order linear equation dy/dx + Py = Q has integrating factor e^∫P dx.

Optimisation: a linear programming problem is solved at a vertex of the feasible region; check all corner points.

Pharmacology: drug absorption depends on lipid solubility, ionisation, and surface area; the ionised form is poorly absorbed.

Autonomic nervous system: sympathetic activation raises heart rate and dilates the pupil; parasympathetic activation slows the heart and stimulates secretion.

Antibiotic classes: beta-lactams inhibit cell-wall synthesis; macrolides and tetracyclines inhibit protein synthesis.

Vaccines: live attenuated vaccines replicate and give long immunity but are avoided in immunocompromised patients.

Fluid compartments: total body water is about 60% of body weight; intracellular fluid is the larger compartment.

Electrolytes: sodium is the main extracellular cation; potassium is the main intracellular cation and needs careful replacement.

Acid–base: the bicarbonate buffer system is the most important extracellular buffer; the Henderson–Hasselbalch equation relates pH to bicarbonate and CO₂.

Nutrition: vitamin C is needed for collagen synthesis; vitamin D is needed for calcium absorption and bone mineralisation.

Leadership in nursing: autocratic, democratic, and laissez-faire styles; democratic style improves team participation and morale.

Delegation: the registered nurse retains accountability; delegate tasks matched to the person's competence and scope of practice.

Staffing: calculate required staff from patient census and dependency level; ensure skill mix matches patient needs.

Conflict resolution: address the issue early, listen to both sides, and focus on the problem rather than the person.

Quality indicators include infection rate, medication errors, falls, pressure ulcers, and patient satisfaction.

Nursing audit compares care against standards and identifies areas for improvement; results feed into education and policy.

Legal aspects: informed consent, confidentiality, and accurate documentation protect the patient and the nurse.

Disaster preparedness: know the emergency plan, evacuation routes, and the chain of command before an incident.

Sub-centre functions: maternal and child health, immunisation, family planning, and referral; the ANM maintains registers for each.

Eligible couple register tracks couples for family-planning services; follow-up improves contraceptive acceptance.

Home-based newborn care visits on days 1, 3, 7, 14, 21, 28, and 42 assess weight, feeding, warmth, and danger signs.

Referral transport: arrange timely transport for obstetric emergencies; delay in reaching care is a major cause of maternal death.

Health education on sanitation: use of toilets, safe water, and handwashing reduces diarrhoea and worm infestation.

National programmes for tuberculosis and malaria require case notification and completion of treatment.

School health programmes screen vision, hearing, dental health, and anaemia and refer for treatment.

Record keeping: accurate registers and reports support planning and supervision at the primary health centre.

Pharmacognosy: plant parts used include leaf (senna), bark (cinchona), root (belladonna), seed (nux vomica), and resin (asafoetida).

Crude drug evaluation uses organoleptic, microscopic, physical, chemical, and biological methods to confirm identity and purity.

Extraction methods include maceration, percolation, decoction, and Soxhlet extraction; solvent choice depends on the compound's polarity.

Volatile oils are aromatic and steam-distilled; fixed oils are fatty and not volatile.

Tannins precipitate proteins and are astringent; alkaloids are extracted by acid–base methods because of their basic nature.

Herbal drug standardisation specifies marker compounds, ash values, extractive values, and microbial limits.

Enzymes used in pharmacy include amylase, protease, and lipase; they act under specific temperature and pH conditions.

Immunological products such as vaccines and sera require cold storage and careful handling to retain potency.

Radiology: a chest radiograph is described by lung fields, heart size, mediastinum, hila, pleura, and bones.

Ultrasound is first-line for gallstones and obstetric assessment; it is safe, quick, and does not use ionising radiation.

CT is preferred for acute head injury and suspected pulmonary embolism; contrast improves vascular and soft-tissue detail.

MRI gives excellent soft-tissue contrast without ionising radiation; metallic implants and some pacemakers are contraindications.

Nuclear medicine uses radiotracers to assess function; the thyroid scan uses iodine or technetium uptake.

Radiation protection follows time, distance, and shielding; staff dosimeters monitor cumulative exposure.

Interventional radiology uses imaging to guide procedures such as biopsy, drainage, and angioplasty.

Reporting: describe findings, give a differential diagnosis, and recommend the next step clearly.

Electrical circuits: Kirchhoff's laws, mesh analysis, and nodal analysis solve multi-loop networks; superposition applies to linear circuits.

AC circuits: impedance Z = R + j(X_L − X_C); power factor = cosφ, and correcting it reduces current and losses.

Three-phase power: total power = √3 × V_line × I_line × power factor for a balanced load.

Transformers: efficiency is maximum when copper loss equals iron loss; regulation is the voltage drop from no load to full load.

Induction motors: torque is proportional to slip near synchronous speed; a wound-rotor motor allows external resistance starting.

DC machines: a generator converts mechanical to electrical energy; a motor converts electrical to mechanical energy.

Power factor improvement uses capacitors in parallel with inductive loads; the capacitor rating is in kVAR.

Tariff: two-part tariff charges a fixed demand charge plus an energy charge per kWh; maximum demand affects the fixed charge.

Engineering drawing: a title block gives the part name, material, scale, and drawing number; always read it first.

Dimensioning: give the minimum dimensions needed for manufacture; avoid duplicate dimensions and place them outside the view where possible.

Projection: hidden outlines use dashed lines; centre lines locate holes and axes; dimensions are in millimetres unless stated.

Tolerance and fits: a hole basis system uses H for holes; the shaft letter and number give the fit type.

Sketches: a freehand sketch records a part quickly; add all dimensions before leaving the machine.

Limits: upper and lower deviations define the permitted size range; the actual size must lie between them.

Surface roughness: Ra values are specified for functional surfaces; a rougher surface is acceptable on non-functional faces.

Drawing standards: symbols, line types, and lettering follow the national standard so drawings are understood by all.

Photography and printing: exposure depends on aperture, shutter speed, and ISO; a wider aperture reduces depth of field.

Graphic design: use a grid for alignment, maintain contrast for readability, and keep a consistent font hierarchy.

Printing: offset printing suits long runs; digital printing suits short runs; resolution is specified in dots per inch.

Fashion design: take measurements, draft a basic block, then adapt it for the design; check fit with a toile.

Catering: standard recipes control cost and quality; portion control keeps food cost within budget.

Hospitality: front-office procedures include reservation, registration, room allocation, and billing.

Retail: stock rotation follows first-in first-out; inventory records are reconciled with physical counts.

Entrepreneurship: a business plan covers market, product, cost, pricing, and cash flow projections.

Optometry refraction: the spherical power corrects myopia or hyperopia; the cylindrical power corrects astigmatism with its axis.

Contact lens care: clean, rinse, and store in fresh solution; never use tap water or share lenses.

Low vision aids: magnifiers and telescopic lenses help patients with residual vision; training improves their use.

Audiology: tympanometry assesses middle-ear function; otoacoustic emissions screen cochlear function in newborns.

Speech therapy: assessment of articulation, language, and voice guides therapy; early intervention improves outcomes.

Prosthetics and orthotics: fit and alignment affect comfort and function; check skin integrity regularly.

Occupational therapy: adapt the environment and train daily living skills so the patient can perform activities independently.

Rehabilitation team: doctor, nurse, physiotherapist, occupational therapist, and social worker plan care together.

Thermodynamics: the zeroth law defines temperature; the third law states entropy approaches a constant as temperature approaches absolute zero.

Steam: saturated steam is at the boiling point for its pressure; superheated steam is above that temperature.

Heat engines: Otto cycle efficiency = 1 − 1/r^(γ−1), where r is the compression ratio; diesel cycle efficiency depends on cut-off ratio.

Refrigeration: coefficient of performance = refrigerating effect / work input; a heat pump has COP = heating effect / work input.

Fluid flow: the venturi meter uses a pressure difference to measure flow; the pitot tube measures velocity head.

Turbines: an impulse turbine uses pressure drop in the nozzle; a reaction turbine uses pressure drop across the moving blades.

Mechanical vibrations: natural frequency of a spring-mass system = (1/2π)√(k/m); resonance occurs at the natural frequency.

Machine design: a keyway weakens the shaft; stress concentration factors apply at changes of section.

Genetics: a Punnett square predicts offspring ratios; sex-linked traits appear more often in males because they have one X chromosome.

Chromosomal disorders: Down syndrome is trisomy 21; Turner syndrome is 45,X; Klinefelter syndrome is 47,XXY.

Biomolecules: carbohydrates are the main energy source; proteins are built from amino acids; lipids store energy and form membranes.

Enzymes lower activation energy and are affected by temperature and pH; denaturation destroys activity.

Cell division: mitosis produces two identical diploid cells; meiosis produces four haploid gametes with crossing over.

Evolution: natural selection acts on variation; genetic drift changes allele frequencies in small populations.

Ecology: energy flows through trophic levels with loss at each step; decomposers return nutrients to the soil.

Biotechnology: restriction enzymes cut DNA; polymerase chain reaction amplifies a specific sequence.

Maternal nursing: monitor blood pressure, weight, urine protein, and fetal growth at each antenatal visit.

Labour support: encourage mobility in the first stage, provide pain relief, and monitor contractions and fetal heart rate.

Postpartum assessment: check uterine involution, lochia, perineum, breast, and bladder; assess for depression.

Neonatal care: maintain warmth, initiate breastfeeding within an hour, give vitamin K, and record birth weight.

Family-centred care involves the family in decisions and teaching; cultural preferences are respected.

High-risk pregnancy: gestational diabetes, hypertension, and multiple pregnancy need closer monitoring and referral.

Contraception counselling: discuss effectiveness, side effects, and protection against infection before recommending a method.

Breastfeeding problems: manage engorgement, cracked nipples, and mastitis with correct latch and timely treatment.

First aid for snakebite: immobilise the limb, keep the patient calm, remove tight items, and transfer to hospital; do not cut or suck the wound.

Heat stroke: move to a cool place, remove excess clothing, cool with water and fanning, and give fluids if conscious.

Drowning: remove from water safely, check breathing, start resuscitation if needed, and arrange urgent transfer.

Poisoning: identify the substance, keep the container, and do not induce vomiting after corrosive or petroleum ingestion.

Burns first aid: cool with running water for at least 20 minutes, cover with a clean cloth, and do not apply toothpaste or oil.

Fracture first aid: immobilise with a splint, check distal circulation, and avoid moving the patient unnecessarily.

Choking: encourage coughing, give back blows, then abdominal thrusts; for infants use back slaps and chest thrusts.

Emergency referral: record vital signs, treatment given, and time of transfer for continuity of care.

Pharmaceutical calculations: alligation method finds the ratio for mixing two strengths; the allegation alternate gives parts of each.

Dilution of a concentrated solution: C₁V₁ = C₂V₂; check units before calculating.

Pediatric dose by Young's rule = (age in years / (age + 12)) × adult dose; Clark's rule uses weight in pounds.

Percentage solutions: % w/v is grams per 100 mL, % w/w is grams per 100 g, and % v/v is mL per 100 mL.

Isotonicity by freezing point depression: 0.52 °C is the depression for an isotonic solution; sodium chloride equivalent values are tabulated.

Dosage forms: elixirs are hydroalcoholic, syrups are concentrated sugar solutions, and tinctures are alcoholic extracts.

Sterile products: pyrogen-free water is used for injections; autoclaving is the standard terminal sterilisation method.

Prescription errors: check the decimal point, units, and abbreviations; write 'units' in full to avoid misreading.

Endocrinology: thyroid storm presents with fever, tachycardia, and agitation; treat with antithyroid drugs, beta blockers, and supportive care.

Adrenal crisis: hypotension and hyponatraemia in a patient on steroids need immediate hydrocortisone and fluids.

Diabetes insipidus: large volumes of dilute urine with high serum osmolality; treat with desmopressin.

Electrolyte emergencies: hyperkalaemia with ECG changes needs calcium gluconate, insulin with glucose, and removal of the cause.

Acid–base mixed disorders: calculate the expected compensation; a value outside the expected range indicates a second disorder.

Renal colic: loin-to-groin pain with haematuria; non-contrast CT is the investigation of choice.

Acute abdomen: tenderness with rigidity suggests peritonitis and needs urgent surgical assessment.

Sepsis bundles: measure lactate, take cultures, give antibiotics, and start fluids within the first hour.

Digital electronics: combinational circuits have no memory; sequential circuits use flip-flops and a clock.

Counters: a modulus-n counter needs ⌈log₂n⌉ flip-flops; ripple counters have cumulative propagation delay.

Registers: a shift register moves data one bit per clock; a parallel-load register loads all bits at once.

Memories: ROM is non-volatile and programmed once; RAM needs power; flash memory is non-volatile and rewritable.

Microcontrollers: analogue-to-digital conversion quantises a voltage into a digital value; resolution depends on the number of bits.

Embedded systems: a real-time system must meet deadlines; interrupts and timers control periodic tasks.

Communication protocols: SPI uses separate clock and data lines; I²C uses two wires with addressing.

PCB design: keep high-current tracks wide, separate analogue and digital grounds, and add decoupling capacitors near chips.

Trade safety: wear goggles when grinding, never wear loose clothing near rotating parts, and keep the work area clear.

Lifting and handling: bend the knees, keep the load close, and ask for help with heavy loads to prevent back injury.

Fire safety: use a fire extinguisher matched to the fire class; water is not used on electrical or oil fires.

First aid for cuts: clean the wound, apply pressure, cover with a sterile dressing, and report the injury.

Electrical shock: switch off the supply before touching the casualty; start resuscitation if needed and call for help.

Housekeeping: 5S - sort, set in order, shine, standardise, and sustain - keeps the workplace safe and efficient.

Hand tool care: keep cutting edges sharp, store tools in their place, and inspect for damage before use.

Permit to work: hot work and confined-space entry need a permit and a standby person.

Mobile repair: check the charger, battery, and charging port before replacing components; use an anti-static mat.

Computer assembly: match the processor socket, RAM type, and power supply rating; apply thermal paste thinly.

Networking installation: crimp the RJ45 connector with the correct colour code; test the cable with a cable tester.

CCTV installation: position cameras to cover the required area, use the correct power supply, and secure cables.

Solar panel maintenance: clean dust from panels, check connections, and inspect the inverter for faults.

Air conditioner servicing: clean the filter and coils, check gas pressure, and verify drainage to prevent water leakage.

Refrigeration repair: check the compressor, thermostat, and refrigerant charge; leak test before recharging.

Customer documentation: record the fault, parts replaced, and test results for warranty and future reference.

Health records: each record has a unique identifier; entries are dated, timed, signed, and never erased or overwritten.

Confidentiality: disclose patient information only to authorised staff or where the law requires; secure records from unauthorised access.

Medical coding: assign codes from the diagnosis and procedure; coding accuracy supports billing and statistics.

Hospital statistics: bed occupancy rate = patient-days / (beds × days) × 100; average length of stay = patient-days / discharges.

Admission and discharge procedures: verify identity, complete documentation, and hand over the patient's belongings.

Medico-legal cases: preserve evidence, record findings accurately, and inform the authorities as required.

Consent: informed consent requires capacity, information, and voluntariness; emergency treatment may proceed without consent to save life.

Audit: review records against standards, identify gaps, and implement improvement with re-audit.

Materials: Young's modulus measures stiffness; ductility is measured by percentage elongation; brittleness shows little plastic deformation.

Fatigue: failure occurs under repeated stress below the ultimate strength; a smooth surface and compressive residual stress improve life.

Creep: slow deformation under constant load at high temperature; creep resistance improves with alloying and larger grain size.

Corrosion: rusting of iron needs water and oxygen; stainless steel resists corrosion because of a chromium oxide layer.

Composites: fibre-reinforced materials combine high strength with low weight; properties depend on fibre orientation.

Testing: impact test measures toughness; hardness test measures resistance to indentation; non-destructive tests detect internal defects.

Heat treatment of steel: quenching forms martensite; tempering reduces brittleness and relieves internal stress.

Failure analysis: examine the fracture surface, check material and load history, and identify the initiation site.

Anatomy of the thorax: the right lung has three lobes, the left has two; the heart lies in the mediastinum with the apex to the left.

Abdominal organs: the liver is in the right upper quadrant, the spleen in the left upper quadrant, and the appendix in the right lower quadrant.

Bones of the skull: the mandible is the only movable bone; sutures join the cranial bones.

Joints: a synovial joint has a cavity and synovial fluid; a hinge joint allows movement in one plane.

Blood vessels: arteries carry blood away from the heart; veins have valves and carry blood back; capillaries allow exchange.

Lymphatic system: lymph nodes filter lymph and are sites of immune response; the spleen filters blood.

Nervous system: the autonomic nervous system controls involuntary functions; the somatic system controls voluntary movement.

Senses: rods detect dim light, cones detect colour; the cochlea in the inner ear detects sound.

Critical care: monitor airway, breathing, circulation, and neurological status; use early warning scores to detect deterioration.

Mechanical ventilation: check the tube position, cuff pressure, and ventilator settings; suction only when needed.

Central line care: use aseptic technique for dressing changes; watch for infection, thrombosis, and air embolism.

Sepsis screening: look for fever, tachycardia, tachypnoea, and altered mental state; escalate early.

Pain management: assess pain with a validated scale, give analgesia as prescribed, and reassess the effect.

Pressure area care: use a risk assessment tool, reposition regularly, and keep the skin clean and dry.

Nutrition in critical care: start enteral feeding early when safe; monitor tolerance and blood glucose.

End-of-life care: provide comfort, dignity, and family support; document the plan and respect the patient's wishes.

Adolescent reproductive health: provide information on puberty, menstrual hygiene, and safe behaviour; respect confidentiality.

Menopause: hot flushes, sleep disturbance, and mood changes are common; screen for osteoporosis and cardiovascular risk.

Cancer screening: visual inspection with acetic acid for cervical cancer and breast self-examination are simple screening measures.

Mental health in the community: recognise depression and anxiety, provide support, and refer when needed.

Substance use: screen for tobacco, alcohol, and drug use; provide brief advice and refer for counselling.

Occupational health: identify hazards in the workplace, promote protective equipment, and report injuries.

Disability: assess function, provide assistive devices, and support inclusion in family and community life.

Elderly abuse: recognise signs, ensure safety, and report according to the law and local protocol.

Drug development: preclinical testing precedes phases I to III; regulatory approval follows review of safety and efficacy data.

Generic drugs contain the same active ingredient as the brand; bioequivalence compares rate and extent of absorption.

Pharmacopoeial monographs specify description, solubility, identification tests, assay, and storage conditions.

Quality by design builds quality into the process; critical quality attributes are identified and controlled.

Good distribution practice ensures storage and transport conditions are maintained throughout the supply chain.

Adverse drug reactions are classified by type: predictable dose-related and unpredictable idiosyncratic reactions.

Drug interactions with laboratory tests can cause false results; inform the laboratory of the patient's medication.

Medication reconciliation at admission and discharge prevents duplication and omission of therapy.

Neurology: a stroke in the middle cerebral artery causes contralateral weakness and aphasia if the dominant hemisphere is affected.

Seizures: first-line management of status epilepticus is a benzodiazepine, followed by a loading dose of an antiepileptic.

Head injury: a declining level of consciousness needs urgent CT; avoid hypotension and hypoxia to prevent secondary injury.

Spinal cord injury: immobilise the spine, assess motor and sensory levels, and monitor for autonomic dysreflexia.

Peripheral neuropathy: diabetes, alcohol, and vitamin deficiency are common causes; examine sensation and reflexes.

Muscle disorders: proximal weakness with normal sensation suggests myopathy; check creatine kinase and thyroid function.

Neuroimaging: CT detects acute haemorrhage; MRI is better for soft tissue and demyelination.

Rehabilitation after neurological injury: early mobilisation and task-specific training improve functional recovery.

Environmental engineering: water demand is estimated from population and per-capita consumption; design period affects pipe size.

Wastewater: BOD₅ is measured over five days at 20 °C; treatment reduces BOD before discharge.

Air quality: the air quality index summarises pollutant levels; particulate control uses cyclones, filters, and electrostatic precipitators.

Solid waste: composting and anaerobic digestion recover nutrients and energy; landfill needs a liner and leachate collection.

Transportation planning: traffic volume counts inform road design; the peak-hour factor adjusts for hourly variation.

Structural analysis: a simply supported beam has zero moment at the supports; a cantilever has maximum moment at the fixed end.

Concrete: workability is measured by slump; curing time affects strength gain; the water–cement ratio controls permeability.

Construction management: a bar chart shows activity duration; a network diagram shows dependency and critical path.

Workshop calculation: area of a circle = πr²; circumference = 2πr; volume of a cylinder = πr²h.

Trigonometry for trades: sinθ = opposite/hypotenuse; tanθ = opposite/adjacent; used to calculate taper and angle.

Speed and feed: cutting speed in m/min, feed in mm/rev, and depth of cut determine machining time.

Percentage and ratio: percentage = (part/whole) × 100; alloy composition is given by percentage of each metal.

Units and conversion: 1 m = 1,000 mm; 1 kgf = 9.81 N; 1 kWh = 3.6 × 10⁶ J.

Tolerance calculation: upper limit = basic size + upper deviation; lower limit = basic size + lower deviation.

Costing: total cost = material + labour + overhead; profit is added as a percentage of cost or selling price.

Graph reading: read the axes and scale carefully; the slope of a straight line gives the rate of change.

Automotive electricals: the battery supplies starting current; the alternator charges it while the engine runs.

Lighting circuits: a fluorescent lamp needs a choke and starter; an LED lamp needs a driver.

Motor winding: identify the start and run windings; a capacitor motor uses a capacitor in the start winding.

Wiring accessories: a socket has live, neutral, and earth terminals; the earth terminal is longer for safety.

Testing: a test lamp checks the presence of voltage; a multimeter measures voltage, current, and continuity.

Energy saving: LED lamps use less power than incandescent; a power factor correction capacitor reduces losses.

Tool maintenance: keep insulation intact, check the plug and cord, and tag out faulty tools.

Documentation: record the work done, materials used, and test results for the customer.

Dental assisting: prepare instruments, maintain the suction, and keep the working field dry; sterilise instruments after use.

Dental radiography: use a lead apron and thyroid shield; position the film/sensor parallel to the tooth.

Dental materials: amalgam is strong but not aesthetic; composite matches tooth colour; glass ionomer releases fluoride.

Impression taking: select the correct tray size, mix the material to a smooth consistency, and remove after setting.

Oral hygiene instruction: use a soft brush, fluoride toothpaste, and interdental cleaning; demonstrate the technique.

Dental emergencies: control bleeding with pressure, manage avulsed tooth in milk, and refer immediately.

Infection control: disinfect impressions before sending to the laboratory; follow hand hygiene and sharps disposal.

Patient records: record treatment, materials used, and follow-up instructions accurately.

Electrical machines: a transformer's core is laminated to reduce eddy current loss; a high-resistance core reduces hysteresis loss.

Transmission lines: surge impedance Z₀ = √(L/C); surge impedance loading gives the natural power transfer limit.

Power system stability: steady-state stability depends on the power–angle curve; a fault reduces the maximum transferable power.

Protection: distance relays measure impedance to the fault; differential protection compares currents at both ends.

Circuit breakers: an arc is extinguished by increasing dielectric strength or by lengthening and cooling the arc.

Renewable energy: a solar cell's output depends on irradiance and temperature; a wind turbine's power depends on the cube of wind speed.

Energy storage: batteries store energy chemically; supercapacitors store charge and deliver high power quickly.

Smart grid: communication and control allow demand response and integration of distributed generation.

Cardiovascular physiology: the cardiac cycle has systole and diastole; the first heart sound is from closure of the atrioventricular valves.

Blood pressure: systolic pressure reflects cardiac output; diastolic pressure reflects peripheral resistance.

Respiratory physiology: tidal volume, inspiratory reserve, expiratory reserve, and residual volume make up total lung capacity.

Renal physiology: the glomerular filtrate contains water, glucose, and electrolytes; glucose is reabsorbed in the proximal tubule.

Gastrointestinal physiology: gastric acid secretion is stimulated by gastrin, histamine, and acetylcholine.

Neurophysiology: the resting membrane potential is maintained by the sodium–potassium pump and potassium permeability.

Endocrine physiology: insulin lowers blood glucose; cortisol raises it and suppresses inflammation.

Reproductive physiology: oestrogen peaks before ovulation; progesterone supports the luteal phase and pregnancy.

Infection prevention and control: standard precautions apply to all patients; transmission-based precautions are added for specific infections.

Antimicrobial stewardship: prescribe only when indicated, choose the narrowest effective agent, and review after culture results.

Hand hygiene moments: before touching a patient, before a clean procedure, after body fluid exposure, after touching a patient, and after touching surroundings.

Isolation: cohort patients with the same organism; use dedicated equipment where possible.

Vaccination of staff: hepatitis B, influenza, and other recommended vaccines protect staff and patients.

Outbreak investigation: identify cases, find the source, implement control measures, and monitor until the outbreak ends.

Cleaning and disinfection: clean first, then disinfect; follow the contact time specified for the disinfectant.

Surveillance: record infection rates and feed data back to staff to improve practice.

Reproductive health: provide information on safe motherhood, contraception, and prevention of sexually transmitted infections.

Antenatal nutrition: iron, folic acid, calcium, and a balanced diet prevent anaemia and support fetal growth.

Danger signs of pregnancy: bleeding, severe headache, blurred vision, swelling, reduced fetal movement, and fever need referral.

Labour: monitor progress with a partograph, check fetal heart rate, and record contractions.

Newborn care: dry, wrap, and place skin-to-skin; start breastfeeding within an hour; give vitamin K.

Postpartum care: monitor bleeding, uterine tone, and vital signs; encourage early ambulation and breastfeeding.

Family planning: provide a choice of methods, explain side effects, and schedule follow-up.

Community mobilisation: involve community health workers and local leaders to improve health-seeking behaviour.

Pharmaceutical chemistry: functional groups determine drug properties; esterification can improve lipid solubility.

Structure–activity relationships: small changes in a molecule can alter potency, selectivity, and toxicity.

Drug metabolism: phase I reactions oxidise, reduce, or hydrolyse; phase II reactions conjugate to make drugs more water-soluble.

Prodrugs are inactive until metabolised; they improve absorption or target delivery.

Chirality: enantiomers can differ in activity and toxicity; the active enantiomer is sometimes developed alone.

Analytical methods: HPLC separates and quantifies components; UV detection is common for drugs with chromophores.

Stability testing: temperature, humidity, and light exposure over time predict shelf life and storage conditions.

Quality control: specifications must be met for identity, purity, potency, and performance before release.

Cardiology: atrial fibrillation shows an irregularly irregular pulse and absent P waves; anticoagulation reduces stroke risk.

Heart failure: dyspnoea, orthopnoea, and raised jugular venous pressure suggest fluid overload; diuretics relieve symptoms.

Valvular disease: mitral stenosis causes a mid-diastolic murmur; aortic stenosis causes an ejection systolic murmur.

Hypertension: secondary causes include renal disease, endocrine disorders, and drug effects; screen when young or resistant.

Lipids: statins lower LDL cholesterol and reduce cardiovascular events; monitor liver enzymes and muscle symptoms.

Acute pulmonary oedema: sit the patient up, give oxygen, diuretics, and vasodilators as indicated.

Arrhythmia: assess haemodynamic stability; unstable patients need urgent cardioversion.

Cardiac rehabilitation: exercise, risk-factor control, and education improve outcomes after a cardiac event.

Engineering mathematics: matrices solve simultaneous equations; Cramer's rule uses determinants.

Differentiation: product rule (uv)′ = u′v + uv′; quotient rule (u/v)′ = (u′v − uv′)/v².

Integration: integration by parts ∫u dv = uv − ∫v du; substitution simplifies composite functions.

Series: binomial expansion and Taylor series approximate functions near a point.

Statistics: probability distributions include binomial, Poisson, and normal; the normal curve is symmetric about the mean.

Numerical integration: trapezoidal rule and Simpson's rule approximate definite integrals from tabulated values.

Vector algebra: dot product gives the angle between vectors; cross product gives a perpendicular vector.

Complex numbers: a + jb has modulus √(a² + b²) and argument tan⁻¹(b/a); useful in AC circuit analysis.

Fitting tools: a file cuts on the forward stroke; a hacksaw cuts on the forward stroke; a chisel cuts with a sharp edge and a hammer.

Marking out: use a datum surface, scribe lines with a scriber, and centre-punch before drilling.

Drilling: drill speed depends on material and drill diameter; use coolant to prevent overheating.

Tapping: drill the tapping size hole, start the tap square, and use lubricant; reverse to break chips.

Measurement: a vernier caliper reads to 0.02 mm; a micrometer reads to 0.01 mm; check zero before use.

Bench work: file flatness is checked with a straight edge; squareness with a try square.

Safety: clamp the work securely, wear goggles, and keep hands clear of the cutting tool.

Maintenance: clean and oil tools after use; store them in a dry place to prevent rust.

Welding safety: protect eyes with a welding helmet, protect skin with leather gloves and apron, and ensure ventilation.

Welding defects: porosity from moisture or dirt, undercut from excessive current, and slag inclusion from poor cleaning.

Gas welding: the neutral flame has equal oxygen and acetylene; the carburising flame has excess acetylene.

Brazing: filler melts above 450 °C but below the base metal; flux prevents oxidation.

Fabrication: measure, mark, cut, and tack weld before final welding; check dimensions after welding.

Sheet metal: use a mallet to shape without stretching; anneal to soften the metal before bending.

Electrical safety: use a residual current device, check the earth, and avoid overloading sockets.

Costing: calculate material, labour, and overhead; add profit to arrive at the quotation.

Anatomy for imaging: the chest radiograph shows the lungs, heart, ribs, and diaphragm; the spine is seen in the lateral view.

Patient positioning: ensure the correct position and immobilisation to avoid repeat exposures and unnecessary dose.

Contrast media: check for allergy and renal function before iodinated contrast; be ready to manage anaphylaxis.

Radiation dose: use the lowest dose that gives diagnostic quality; collimate to the area of interest.

Image quality: contrast, resolution, and noise determine diagnostic value; artefacts can mimic disease.

PACS and reporting: images are stored digitally; the radiologist reports findings and recommends follow-up.

Quality control: test the X-ray machine regularly for output, collimation, and leakage.

Patient care: explain the procedure, obtain consent, and respect privacy and dignity.

Fluid mechanics: viscosity is the resistance to shear; dynamic viscosity units are Pa·s; kinematic viscosity = dynamic viscosity/density.

Hydrostatics: pressure at a depth h is ρgh; a manometer measures pressure difference using a liquid column.

Flow measurement: an orifice meter and venturi meter use pressure difference; a rotameter gives a direct reading.

Pumps: a centrifugal pump's head–flow curve shows maximum head at zero flow; efficiency peaks at the design point.

Turbines: a Pelton wheel is an impulse turbine for high head; a Francis turbine is a reaction turbine for medium head.

Boundary layer: velocity is zero at the wall; the boundary layer grows along the surface and separates under adverse pressure.

Dimensional analysis: Reynolds, Froude, and Mach numbers characterise flow regimes and model testing.

Pipes in series: head losses add; in parallel, the head loss is the same and flows add.

Cell injury: reversible injury shows swelling; irreversible injury shows membrane damage and mitochondrial failure.

Inflammation: acute inflammation has neutrophils; chronic inflammation has lymphocytes and macrophages.

Wound healing: primary intention heals with minimal granulation; secondary intention heals with more granulation and scarring.

Neoplasia: benign tumours are well-differentiated; malignant tumours show invasion, metastasis, and anaplasia.

Haemodynamics: thrombosis forms in stasis, endothelial injury, or hypercoagulability; embolism travels in the bloodstream.

Immunology: hypersensitivity types I to IV; type I is IgE-mediated, type IV is T-cell mediated.

Genetic diseases: autosomal dominant conditions appear in every generation; autosomal recessive conditions may skip generations.

Nutritional deficiency: protein-energy malnutrition shows wasting or oedema; vitamin deficiencies show specific syndromes.

Health assessment: inspect, palpate, percuss, and auscultate in that order, except the abdomen where auscultation precedes palpation.

Vital signs: measure temperature, pulse, respiration, blood pressure, and oxygen saturation; record and report abnormal values.

Neurological assessment: use the Glasgow Coma Scale for eye, verbal, and motor responses; total 3–15.

Respiratory assessment: observe rate, rhythm, depth, and breath sounds; note cyanosis and accessory muscle use.

Cardiovascular assessment: check pulse rate, rhythm, volume, and capillary refill; auscultate heart sounds.

Skin assessment: check colour, temperature, moisture, turgor, and integrity; document any lesions.

Pain assessment: use a validated scale and record location, quality, severity, and effect on function.

Documentation: record findings accurately and promptly; abnormal findings are reported to the doctor.

Community diagnosis: collect data on population, health status, and resources; identify priority problems with the community.

Health education planning: define the target group, message, method, and evaluation before the session.

Home visit bag: carry essential supplies, keep the bag clean, and place it on a clean surface.

Referral: use the correct level of facility; provide a referral note with findings and treatment given.

Immunisation microplanning: list eligible children, fix sessions, and track defaulters.

Maternal death review: identify causes and contributing factors to improve services; maintain confidentiality.

Communicable disease control: notify cases, isolate when needed, and trace contacts.

Record keeping: maintain registers for antenatal, postnatal, immunisation, and family planning services.

Pharmacokinetics: first-order absorption and elimination give a curve with a peak; the peak time depends on absorption and elimination rates.

Steady state is reached after about 4–5 half-lives of regular dosing; a loading dose reaches therapeutic levels faster.

Clearance determines the maintenance dose; volume of distribution determines the loading dose.

Drug interactions: absorption can be reduced by antacids; metabolism can be induced or inhibited.

Protein binding: only the free drug is active; hypoalbuminaemia increases free drug and risk of toxicity.

Renal impairment: dose reduction is based on creatinine clearance; avoid nephrotoxic drugs.

Hepatic impairment: reduce doses of drugs metabolised by the liver; monitor for adverse effects.

Therapeutic drug monitoring is useful for drugs with a narrow therapeutic index such as digoxin and lithium.

Respiratory medicine: asthma shows reversible obstruction; COPD shows persistent obstruction; both use inhaled bronchodilators.

Pneumonia: assess severity, take cultures, and start antibiotics; oxygen and fluids support recovery.

Tuberculosis: sputum testing confirms diagnosis; adherence to the full regimen prevents resistance.

Pleural effusion: tap the fluid for analysis; a transudate suggests heart failure or liver disease, an exudate suggests infection or malignancy.

Pulmonary embolism: sudden breathlessness and chest pain after immobility; CT pulmonary angiography confirms the diagnosis.

Sleep apnoea: snoring and daytime sleepiness; sleep study confirms and CPAP is the treatment.

Interstitial lung disease: dry cough and breathlessness; high-resolution CT and lung function tests guide diagnosis.

Smoking cessation: brief advice and pharmacotherapy improve quit rates.

Control systems: a first-order system's step response reaches 63.2% of final value at one time constant.

Second-order systems: damping ratio determines overshoot; underdamped systems oscillate, critically damped systems do not.

Stability: a system is stable if all closed-loop poles have negative real parts; the Nyquist criterion checks stability from the open-loop response.

PID tuning: Ziegler–Nichols rules set gains from the ultimate gain and period.

State-space: state variables describe the system; the state equation is ẋ = Ax + Bu and the output equation is y = Cx + Du.

Digital control: sampling introduces delay; the z-transform analyses discrete-time systems.

Sensors: a thermocouple measures temperature; a strain gauge measures strain; an LVDT measures displacement.

Actuators: a servomotor provides controlled motion; a solenoid provides on–off actuation.

Welding symbols: a fillet weld is shown as a triangle; a butt weld is shown by its preparation shape.

Welding positions: flat is easiest; overhead is hardest; choose current and electrode accordingly.

Defect testing: visual inspection is first; dye penetrant finds surface defects; radiography finds internal defects.

Casting: a pattern is slightly larger than the part to allow for shrinkage; a draft angle helps remove the pattern.

Forging: hot forging refines grain and improves strength; cold forging improves surface finish.

Machining: turning, milling, drilling, and grinding are the common operations; each has its own tool and speed.

Measurement: use the right instrument for the tolerance; a vernier caliper for 0.02 mm and a micrometer for 0.01 mm.

Maintenance: lubricate, clean, and inspect machines regularly to prevent breakdowns.

Electrical installation: a distribution board has a main switch, circuit breakers, and an earth bar; label each circuit.

Cable size: current-carrying capacity depends on conductor size and insulation; voltage drop must be within limits.

Earthing: the earth wire provides a low-resistance path; test the earth resistance periodically.

Lighting: lumens measure light output; lux measures illuminance; the inverse-square law applies to point sources.

Motor control: a direct-on-line starter is simple; a star–delta starter reduces starting current.

Testing: a megger measures insulation resistance; a multimeter measures voltage, current, and resistance.

Safety: isolate the supply, lock out, and test before working on a circuit.

Documentation: record the work done, test results, and materials used.

Laboratory safety: wear gloves, lab coat, and goggles; never pipette by mouth; disinfect benches after work.

Specimen handling: label at the bedside, use the correct container, and transport promptly at the required temperature.

Haematology: the complete blood count includes haemoglobin, red cell indices, white cell count, and platelets.

Coagulation: the prothrombin time and activated partial thromboplastin time assess different pathways; collect in citrate tubes.

Biochemistry: fasting glucose, lipid profile, liver function, and renal function tests are common; reference ranges vary by laboratory.

Microbiology: Gram stain, culture, and sensitivity guide antibiotic choice; take cultures before starting antibiotics.

Blood bank: ABO and Rh typing, cross-match, and antibody screening ensure safe transfusion.

Quality control: run controls with each batch and record results; investigate out-of-range values before reporting.

Surveying: the chain survey measures distances; the compass survey measures bearings; the level survey measures heights.

Bearings: the whole-circle bearing is measured clockwise from north; the reduced bearing is measured from the nearest north or south.

Theodolite: the horizontal circle measures horizontal angles; the vertical circle measures angles of elevation and depression.

Contouring: contours join points of equal elevation; closely spaced contours indicate steep ground.

Earthwork: the prismoidal formula gives volume = (L/6)(A₁ + 4A_m + A₂) for a series of cross-sections.

Setting out: a building is set out from a baseline using offsets and right angles; check diagonals for squareness.

GPS surveying: satellites give position; accuracy depends on the number of satellites and correction signals.

Total station: combines electronic distance measurement and angle measurement; records data digitally.

Pharmacology: drug receptors include G-protein coupled, ion channel, enzyme-linked, and nuclear receptors.

Dose–response: a log dose–response curve is sigmoid; potency is the dose for a given effect; efficacy is the maximum effect.

Drug elimination: zero-order elimination occurs when enzymes are saturated, so a constant amount is removed per unit time.

Adverse effects: type A reactions are dose-related and predictable; type B reactions are unpredictable and often immune-mediated.

Antimicrobial resistance: mechanisms include enzyme production, efflux pumps, and altered target sites.

Vaccines: live vaccines are contraindicated in pregnancy and immunosuppression; inactivated vaccines are safer in these groups.

Analgesics: opioids act on mu receptors; NSAIDs inhibit cyclo-oxygenase; paracetamol acts centrally.

Cardiovascular drugs: beta blockers reduce heart rate and blood pressure; diuretics reduce fluid overload.

Community health nursing: assess the community, identify health needs, plan and implement interventions, and evaluate.

Epidemiology: incidence measures new cases; prevalence measures existing cases; both are useful for planning.

Screening: a good screening test is sensitive, specific, acceptable, and affordable; it detects disease early.

Health promotion: use education, counselling, and environmental measures to improve health.

Maternal and child health: antenatal care, safe delivery, immunisation, and nutrition are core services.

Communicable disease control: notification, isolation, contact tracing, and health education.

School health: screen vision, hearing, dental health, and growth; refer for treatment.

Disaster nursing: triage, first aid, shelter, and infection control are priorities.

Newborn resuscitation: warm, dry, stimulate, position, and clear the airway; if not breathing, start positive-pressure ventilation.

Apgar score: assessed at 1 and 5 minutes; each of five signs scores 0–2; total 0–10.

Breastfeeding: start within one hour; exclusive breastfeeding for six months; continue to two years.

Complementary feeding: start at six months with mashed foods; continue breastfeeding; ensure hygiene.

Growth monitoring: plot weight on the chart; a flat curve indicates faltering growth and needs assessment.

Immunisation: follow the national schedule; record doses; manage adverse events.

Danger signs in newborns: not feeding, fast breathing, chest indrawing, fever, hypothermia, convulsions, jaundice of palms and soles.

Referral: stabilise, keep warm, and transfer promptly to the appropriate facility.

Pharmaceutical technology: tablets are made by wet granulation or direct compression; granulation improves flow and compressibility.

Capsules: hard gelatin capsules hold powders; soft gelatin capsules hold liquids; storage must protect from moisture.

Sterile products: aseptic processing is used for heat-labile products; terminal sterilisation is preferred when possible.

Packaging: primary packaging contacts the product; secondary packaging protects and informs; labelling must be legible.

Stability: accelerated studies at elevated temperature and humidity predict shelf life; confirm with real-time data.

Quality assurance: documentation, validation, and audit ensure consistent quality.

Good manufacturing practice: trained staff, clean premises, validated equipment, and batch records.

Recall: a product recall is classified by severity; trace the batch and inform the authorities.

Gastroenterology: peptic ulcer disease is linked to Helicobacter pylori and NSAID use; eradication reduces recurrence.

Inflammatory bowel disease: ulcerative colitis affects the colon continuously; Crohn's disease is patchy and can affect any part of the gut.

Liver disease: cirrhosis shows signs of portal hypertension such as ascites and varices; encephalopathy needs lactulose.

Pancreatitis: severe epigastric pain radiating to the back with raised amylase or lipase; treat with fluids and analgesia.

Jaundice: pre-hepatic, hepatic, and post-hepatic causes; urine and stool colour help localise the cause.

Gastrointestinal bleeding: resuscitate first, then endoscopy; variceal bleeding needs vasoactive drugs and band ligation.

Malabsorption: weight loss and diarrhoea suggest malabsorption; check coeliac serology and faecal fat.

Colorectal cancer screening: faecal occult blood testing and colonoscopy detect early disease.

Electrical measurements: a moving-coil instrument measures DC; a moving-iron instrument measures AC and DC.

Bridge circuits: a Wheatstone bridge measures resistance; a Maxwell bridge measures inductance; a Schering bridge measures capacitance.

Oscilloscope: the time base controls the horizontal sweep; the vertical amplifier controls the scale; use for waveform analysis.

Transducers: a thermistor changes resistance with temperature; a piezoelectric crystal generates charge under pressure.

Signal conditioning: amplification, filtering, and linearisation prepare a sensor signal for measurement.

Errors: systematic errors are consistent and can be calibrated; random errors vary and are reduced by averaging.

Calibration: compare with a standard of higher accuracy; record the calibration certificate.

Data acquisition: sampling rate, resolution, and channel count determine the system's capability.

Electrical wiring: a one-way switch controls one lamp; a two-way switch pair controls one lamp from two positions.

Cable joints: a proper joint is mechanically strong, electrically conductive, and insulated; soldering improves conductivity.

Fuses and breakers: a fuse melts on overcurrent; a miniature circuit breaker trips and can be reset.

Earthing: the earth wire connects exposed metal to ground; it protects users from electric shock.

Lighting: a fluorescent lamp needs a choke and starter; an LED lamp needs a driver.

Motor: a single-phase motor needs a capacitor or shaded pole to start; a three-phase motor is self-starting.

Testing: a test lamp checks for voltage; a multimeter measures voltage, current, and resistance.

Safety: isolate the supply, lock out, and test before working on a circuit.

Automotive: the four-stroke cycle is suction, compression, power, and exhaust; the crankshaft makes two revolutions.

Engine terms: bore is cylinder diameter; stroke is piston travel; swept volume = (π/4) × bore² × stroke.

Brakes: disc brakes dissipate heat better; bleeding removes air from hydraulic lines.

Battery: a lead-acid cell gives about 2 V; six cells in series make 12 V; check electrolyte level.

Transmission: the clutch connects and disconnects the engine; gear ratio changes torque and speed inversely.

Cooling: the radiator dissipates heat; the thermostat regulates coolant flow; coolant prevents freezing and corrosion.

Lubrication: engine oil reduces friction and carries heat; change oil at the recommended interval.

Safety: use jack stands, chock the wheels, and wear eye protection when working under a vehicle.

Physiotherapy: exercise prescription includes type, frequency, intensity, and duration; progress gradually.

Modalities: ultrasound, TENS, and cryotherapy have specific indications and contraindications.

Manual therapy: mobilisation and manipulation restore joint movement; assess before and after treatment.

Gait training: use assistive devices such as walkers and crutches; fit and height must be correct.

Rehabilitation: set functional goals with the patient and measure progress regularly.

Patient education: teach home exercises and posture; reinforce with written instructions.

Infection control: clean equipment between patients; follow hand hygiene.

Documentation: record assessment, treatment, and response for continuity of care.

Engineering ethics: engineers must protect public safety, be honest, and avoid conflicts of interest.

Professional responsibility: report unsafe practices and follow codes of conduct.

Intellectual property: patents protect inventions; copyright protects creative works; trademarks protect brand identity.

Contracts: an offer, acceptance, consideration, and intention create a binding contract.

Environmental responsibility: minimise waste, comply with regulations, and assess environmental impact.

Sustainability: design for energy efficiency, recyclability, and reduced emissions.

Teamwork: clear communication and defined roles improve project outcomes.

Continuing education: keep skills current and learn new technologies.

Paediatrics: growth is measured by weight and height; development is assessed by milestones.

Neonatal jaundice: appears after 24 hours in physiological cases; early jaundice needs investigation.

Immunisation: follow the national schedule; live vaccines are avoided in immunocompromised children.

Malnutrition: weight-for-height and mid-upper-arm circumference assess acute malnutrition; oedema indicates kwashiorkor.

Respiratory distress: grunting, chest indrawing, and fast breathing indicate severe illness; refer urgently.

Diarrhoea: oral rehydration salts and zinc are first-line; continue feeding.

Fever: assess for serious bacterial infection in young infants; do not delay antibiotics.

Development: head control by 3 months, sitting by 6–8 months, walking by 12–15 months.

Nursing research: a hypothesis is a testable statement; a null hypothesis states no difference.

Study designs: randomised controlled trials give the strongest evidence; observational studies describe associations.

Sampling: random sampling reduces bias; sample size depends on effect size and variability.

Data collection: questionnaires, interviews, and observation each have strengths and limitations.

Ethics: informed consent, confidentiality, and the right to withdraw are essential.

Statistics: mean, median, and mode measure central tendency; standard deviation measures spread.

Evidence-based practice: combine best evidence, clinical expertise, and patient preference.

Dissemination: publish and present findings to improve practice.

Community health: incidence measures new cases; prevalence measures existing cases.

Levels of prevention: primary (immunisation, education), secondary (early diagnosis), tertiary (rehabilitation).

Maternal mortality: most deaths are from haemorrhage, hypertension, sepsis, and unsafe abortion; timely referral saves lives.

Infant mortality: neonatal deaths are a large share; essential newborn care reduces mortality.

Family planning: provide a choice of methods; explain side effects and follow-up.

Health education: use the learner's language, involve the family, and demonstrate skills.

Referral: use the correct level of facility; provide a note with findings and treatment.

Records: maintain antenatal, postnatal, immunisation, and family-planning registers.

Pharmacology: agonists activate receptors; antagonists block them; partial agonists give a submaximal response.

Dose–response: ED50 is the dose for half the maximal effect; therapeutic index = TD50/ED50.

Routes: intravenous gives 100% bioavailability; oral is subject to first-pass metabolism.

Antibiotics: complete the course; use culture-guided therapy to slow resistance.

Cardiovascular drugs: ACE inhibitors can cause dry cough; statins inhibit HMG-CoA reductase.

Analgesics: paracetamol is hepatotoxic in overdose; NSAIDs can cause gastric irritation.

Adverse effects: antihistamines cause sedation; aminoglycosides can damage hearing and kidneys.

Counselling: explain dose, timing, and side effects; check understanding with teach-back.

Obstetrics: the partograph detects slow labour; fetal heart rate patterns guide delivery decisions.

Antepartum haemorrhage: placenta praevia and abruption are the main causes; resuscitate and arrange urgent delivery.

Postpartum haemorrhage: uterine atony is the commonest cause; massage the uterus and give uterotonics.

Pre-eclampsia: hypertension after 20 weeks with proteinuria; magnesium sulphate prevents seizures.

Gynaecology: abnormal uterine bleeding needs assessment of age, pregnancy, and endometrial pathology.

Infertility: assess both partners; ovulation, tubal patency, and semen analysis are first-line tests.

Contraception: discuss effectiveness, side effects, and protection against infection.

Menopause: hot flushes and mood changes are common; screen for osteoporosis and cardiovascular risk.

Thermodynamics: the first law for a closed system Q − W = ΔU; for an open system enthalpy replaces internal energy.

Ideal gas: PV = nRT; for a fixed mass, P₁V₁/T₁ = P₂V₂/T₂ with temperatures in kelvin.

Entropy increases in an irreversible process; the second law limits heat engine efficiency.

Strength of materials: shear stress τ = F/A parallel to the surface; torsional shear stress τ = Tr/J.

Fluid mechanics: head loss by Darcy–Weisbach h_f = f(L/D)(V²/2g).

Machine design: factor of safety = strength / working stress; fatigue failure occurs below yield under cyclic loading.

Measurement: accuracy is closeness to the true value; precision is repeatability.

Project planning: the critical path is the longest duration path; float is the slack available.

Carpentry: mortise and tenon for frames; dovetail for drawer corners; halving joint for flush framing.

Fitting: files are graded by cut; a hacksaw blade has 14, 18, or 24 teeth per inch.

Sheet metal: a rivet joint uses a lap or butt arrangement; rivet diameter depends on sheet thickness.

Plumbing: a water seal trap prevents sewer gas entry; pipe slope aids drainage.

Electrician: a megger measures insulation resistance; a multimeter measures voltage, current, and resistance.

Welding: current setting depends on electrode diameter; too high current causes spatter and undercut.

Safety: guard rotating parts; never measure a rotating workpiece with a steel rule.

Trade theory: standard wire gauge numbers increase as conductor diameter decreases.

Computer hardware: RAM is volatile; the hard disk or SSD is non-volatile; the CPU fetches, decodes, and executes.

Networking: IPv4 addresses are 32 bits; a /24 subnet leaves 8 host bits and 254 usable hosts.

Operating systems: manage processes, memory, files, and devices; a driver lets the OS control hardware.

Office tools: spreadsheet formulas begin with '='; cell references can be relative or absolute.

Internet services: HTTP/HTTPS for the web, SMTP for mail, FTP for files, DNS for name resolution.

Backup: the 3-2-1 rule keeps three copies, on two media types, with one off-site.

Digital safety: strong unique passwords, multi-factor authentication, and updates reduce risk.

Electrical basics: a UPS provides backup power and surge protection; earthing protects equipment and users.

Optometry: myopia is corrected with a concave lens; hyperopia with a convex lens; astigmatism with a cylindrical lens.

Visual acuity: recorded as the smallest line read on a Snellen chart at 6 m; 6/6 is normal.

Audiometry: pure-tone audiometry plots thresholds in decibels; hearing loss above 25 dB is abnormal in adults.

Dialysis: haemodialysis uses a dialyser; vascular access care and fluid balance monitoring are essential.

Operation theatre: sterile gown and gloves are donned without touching the outer surface.

CSSD: instruments are cleaned, packed, and sterilised; sterile packs are stored in a dry, dust-free area.

Physiotherapy: gait training uses assistive devices; fit and height are adjusted to the patient.

Patient transport: secure the stretcher, check the airway and lines, and hand over clearly.

Data structures: an array gives O(1) indexed access; a linked list gives O(1) insertion at a known node.

Stack is last-in-first-out; queue is first-in-first-out; a balanced binary search tree gives O(log n) search.

Sorting: bubble, insertion, and selection are O(n²); merge and heap sort are O(n log n).

Databases: a primary key uniquely identifies a row; a foreign key references another table.

Programming: a variable has a type and scope; a function encapsulates a task with parameters and a return value.

Software engineering: requirements, design, implementation, testing, and maintenance form the life cycle.

Networks: the OSI model has seven layers; TCP is connection-oriented, UDP is connectionless.

Security: encryption protects confidentiality; hashing verifies integrity; digital signatures provide authentication.

Dental anatomy: 32 permanent teeth and 20 deciduous teeth; incisors cut, canines tear, molars grind.

Dental caries: begins at the enamel surface; fluoride strengthens enamel and reduces demineralisation.

Periodontal disease: affects gums and supporting bone; plaque control and scaling are first-line.

Homeopathy: principles include the law of similars and individualised prescribing.

Oral hygiene: brush twice daily with fluoride toothpaste; clean between teeth; limit sugar frequency.

Local anaesthesia: check allergy history and maximum safe dose by body weight.

Infection control: sterilise handpieces and instruments; use disposable barriers.

Oral cancer: risk factors include tobacco, betel quid, alcohol, and HPV; early lesions need urgent referral.

Research process: identify the problem, review literature, state objectives, choose a design, collect and analyse data, and report.

Sampling: random selection reduces bias; sample size grows with variability and desired confidence.

Levels of evidence: systematic reviews and randomised trials rank above cohort and case–control studies.

Statistics: mean, median, and mode measure central tendency; standard deviation measures spread.

Nursing theories: Orem's self-care deficit, Roy's adaptation model, and Henderson's needs model guide care.

Ethics: autonomy, beneficence, non-maleficence, and justice guide decisions.

Evidence-based practice: combine best evidence, clinical expertise, and patient preference.

Quality improvement: audit against standards, implement change, and re-audit.

Neonatal resuscitation: warm, dry, stimulate, assess breathing; ventilate if apnoeic; compressions if heart rate stays below 60.

Newborn jaundice within 24 hours is pathological; measure bilirubin and assess for phototherapy.

Low birth weight is below 2,500 g; preterm is before 37 weeks; both need thermal care and feeding support.

Sepsis in the newborn: poor feeding, lethargy, temperature instability, and respiratory distress need urgent referral.

Growth monitoring: plot weight-for-age; a flat or falling curve signals faltering growth.

Complementary feeding: start at 6 months with mashed home foods; continue breastfeeding to 2 years.

Adolescent health: menstrual hygiene, anaemia prevention, and delaying early pregnancy.

Community mobilisation: house-to-house visits, due-list tracking, and addressing vaccine hesitancy.

Pharmaceutical analysis: titrimetric assays use a standard solution and indicator; the equivalence point is detected by colour change.

Spectroscopy: Beer–Lambert law A = εbc relates absorbance to concentration and path length.

Chromatography: separation depends on partition between mobile and stationary phases; retention time identifies a compound.

Tablet quality control: weight variation, hardness, friability, disintegration, and dissolution.

Microbial limit tests: count total aerobic bacteria and detect specified pathogens in non-sterile products.

Validation: documented evidence that a process consistently meets specifications.

Clinical trials: phases I to IV assess safety, efficacy, comparison, and post-marketing surveillance.

Pharmacoeconomics: compares cost and outcome to inform formulary decisions.

Renal replacement: haemodialysis removes small solutes rapidly; peritoneal dialysis is slower and continuous.

Nephrotic syndrome: proteinuria, hypoalbuminaemia, oedema, and hyperlipidaemia; biopsy guides management in adults.

Liver disease: raised bilirubin with prolonged prothrombin time indicates impaired synthetic function.

Gastrointestinal bleeding: resuscitate first, then endoscopy; variceal bleeding needs vasoactive drugs and band ligation.

Respiratory failure: type 1 is hypoxaemia; type 2 adds hypercapnia and needs ventilatory support.

Diabetic ketoacidosis: fluids, insulin, and potassium replacement; monitor potassium closely.

Haematology: iron deficiency shows low ferritin; B12 deficiency shows macrocytic anaemia with neurological signs.

Critical care: titrate sedation to a target score; assess for ventilator weaning daily.

Engineering economics: simple interest I = Pnr; compound amount A = P(1 + r)ⁿ.

Depreciation: straight line = (cost − salvage)/life; declining balance applies a fixed percentage to book value.

Break-even quantity = fixed cost / (selling price − variable cost per unit).

Project management: forward pass gives earliest start and finish; backward pass gives latest start and finish.

Cost estimation: material, labour, overhead, and contingency are added; contingency covers uncertainty.

Inventory: EOQ = √(2DS/H), with D annual demand, S order cost, H holding cost per unit per year.

Quality tools: Pareto analysis ranks causes; control charts distinguish common-cause from special-cause variation.

Reliability: series system reliability is the product of component reliabilities; redundancy raises it.

Turning: depth of cut = (D − d)/2; feed is in mm/rev; cutting speed in m/min converts to rpm via N = 1000v/(πD).

Drilling: align the drill with the punch mark; use a centre punch and pilot hole for accuracy.

Grinding: dress the wheel to restore sharpness; imbalance causes vibration and poor finish.

Welding positions: flat, horizontal, vertical, and overhead; overhead needs lower current and shorter arc.

Sheet metal: flat length = straight lengths plus bend allowance; mark bend lines before cutting.

Electrical wiring: a two-way switch circuit uses two switches with a common terminal and strapper wires.

Refrigeration service: evacuate before charging; moisture causes ice blockage at the expansion valve.

Estimation: labour cost = time × rate; overheads are a percentage of material or labour cost.

Welding: shielded metal arc uses a flux-coated consumable electrode; gas tungsten arc uses a non-consumable tungsten electrode.

Cutting: oxy-acetylene cutting heats steel to ignition temperature, then oxygen burns the metal; it works on steel, not aluminium.

Brazing and soldering: join metals below their melting point using a filler drawn in by capillary action.

Sheet metal tools: snips cut thin sheet; a nibbler cuts internal shapes; a folding machine forms bends.

Drafting: a scale drawing states the scale ratio on the sheet.

Welding safety: use a helmet with the correct shade, fume extraction, and a fire watch after finishing.

Electrical estimating: count points, measure cable runs, add accessories, and prepare a bill of quantities.

Computer applications: spreadsheets calculate quantities and costs; drawing tools produce scaled layouts.

Anatomy for technicians: the heart has four chambers; the left ventricle pumps to the systemic circulation.

Respiratory therapy: nebulisation delivers medication to the airways; a spacer improves inhaler delivery.

Cardiac monitoring: attach limb leads correctly; check gain and paper speed before recording.

Laboratory instruments: a spectrophotometer measures absorbance; calibrate with a blank before reading samples.

Blood bank: cross-matching confirms compatibility beyond ABO and Rh; store red cells at 2–6 °C.

Dialysis checks: conductivity, temperature, and pressure alarms before the session.

Radiology safety: shortest exposure, shield the gonads where appropriate, and monitor staff dosimeters.

First aid: stop bleeding with direct pressure, keep the patient warm, and call for help early.

Signals: a continuous-time signal is sampled at the Nyquist rate; an LTI system is characterised by its impulse response.

Fourier series represents periodic signals; Fourier transform extends this to non-periodic signals.

Laplace transform converts differential equations to algebraic ones; the region of convergence determines stability.

Digital logic: a multiplexer selects one of several inputs; a decoder converts binary input to one active output line.

Microcontrollers: an interrupt suspends the main program and runs a service routine; the stack stores the return address.

Communication: amplitude modulation has poor noise immunity; frequency modulation trades bandwidth for noise performance.

Power electronics: a thyristor conducts when forward-biased and gate-triggered; it turns off below the holding current.

Instrumentation: a transducer converts a physical quantity to an electrical signal; a bridge measures small resistance changes.

Embryology: the heart begins to beat around the fourth week; neural tube closure occurs in the third to fourth week.

Fetal circulation: the umbilical vein carries oxygenated blood; the ductus arteriosus shunts blood from the pulmonary artery to the aorta.

Brain regions: the cerebrum handles higher functions; the cerebellum coordinates movement; the medulla controls vital reflexes.

Spinal cord: 31 pairs of spinal nerves; sensory fibres enter the dorsal root and motor fibres leave the ventral root.

Endocrine: the pituitary is controlled by the hypothalamus; the adrenal medulla secretes adrenaline during stress.

Renal physiology: glomerular filtration rate depends on net filtration pressure and is about 125 mL/min.

Acid–base balance: the lungs remove carbon dioxide; the kidneys regulate bicarbonate.

Reproductive cycles: ovulation occurs around day 14 of a 28-day cycle; the corpus luteum secretes progesterone.

Mental health nursing: assess mood, thought, perception, cognition, and risk; suicide risk assessment is part of every evaluation.

Therapeutic communication: use open questions, reflection, and silence; avoid advice or false reassurance.

Psychotropic drugs: antipsychotics can cause extrapyramidal effects; lithium needs blood level monitoring.

De-escalation: keep a safe distance, speak calmly, offer choices, and call for help if needed.

Child health: growth is measured by weight and height; development is assessed by milestones.

Geriatric nursing: review medications, prevent falls, maintain hydration, and encourage mobility.

Rehabilitation: set functional goals with the patient and family and measure progress.

Palliative care: relieve symptoms, address emotional and spiritual needs, and support the family.

Antenatal risk factors: age below 18 or above 35, height below 145 cm, previous caesarean, and anaemia.

Blood pressure in pregnancy: use the correct cuff size, rest before measuring, and repeat an abnormal reading.

Anaemia in pregnancy: oral iron and folic acid; severe anaemia needs parenteral iron or transfusion and referral.

Gestational diabetes: screen with a glucose challenge; diet, exercise, and insulin when required.

Fetal monitoring in labour: count the heart rate for a full minute after a contraction and record decelerations.

Episiotomy care: keep the area clean and dry, change pads frequently, and check for infection.

Newborn feeding cues: rooting, hand-to-mouth movements, and opening the mouth; feed on demand.

Postpartum family planning: a barrier method can start immediately; lactational amenorrhoea needs strict criteria.

Dispensing errors: read the prescription carefully, confirm ambiguous handwriting, and double-check calculations.

High-risk drugs: insulin, heparin, and chemotherapy need independent double checks before administration.

Suspensions: shake before use for dose uniformity; caking that does not redisperse indicates instability.

Emulsions: cracking cannot be reversed; a cracked emulsion must be discarded.

Suppositories: store in a cool place; cocoa butter softens at room temperature.

Drug–food interactions: tetracyclines bind calcium in milk; MAO inhibitors interact with tyramine-rich food.

Pregnancy: avoid known teratogens and check the latest product information before dispensing.

Counselling on antibiotics: complete the course, note food timing, and report rash or diarrhoea.

Ophthalmology: acute angle-closure glaucoma presents with a painful red eye, halos, and a fixed mid-dilated pupil.

ENT: acute otitis media shows a bulging red tympanic membrane; persistent hearing loss needs audiometry.

Dermatology: patch testing identifies contact allergy; topical steroids are graded by potency and site.

Psychiatry: schizophrenia requires symptoms for at least six months; antipsychotics need metabolic monitoring.

Orthopaedics: compartment syndrome presents with pain out of proportion and pain on passive stretch.

Anaesthesia: pre-operative assessment covers airway, allergy, comorbidity, and fasting status.

Paediatrics: dose by weight or body surface area; check the maximum dose before prescribing.

Preventive medicine: screening is worthwhile when the disease is common, detectable early, and treatable.

Materials: ferrous metals contain iron; cast iron is brittle; steel is ductile and weldable.

Non-ferrous metals: aluminium is light and corrosion-resistant; copper conducts well; brass is copper with zinc.

Testing: tensile test gives yield strength, ultimate strength, and elongation; hardness indicates wear resistance.

Manufacturing: casting shapes molten metal in a mould; forging shapes hot metal and improves grain structure.

Machining: tool wear increases with speed and temperature; cutting fluid cools and lubricates.

Welding metallurgy: the heat-affected zone changes without melting; preheating reduces cracking.

Corrosion: galvanic corrosion occurs between dissimilar metals in an electrolyte; coating prevents it.

Metrology: gauge blocks are wrung together to build a dimension; calibration links measurements to standards.

Industrial wiring: a three-phase motor connects in star for starting and delta for running.

Motor protection: an overload relay protects against sustained overcurrent; a fuse protects against short circuit.

Earthing: equipment earthing provides a low-resistance path; measure and record earth resistance periodically.

Illumination: lumens measure light output; lux measures illuminance; the inverse-square law applies to point sources.

Pumps: a centrifugal pump moves fluid by centrifugal force; a positive-displacement pump moves a fixed volume per cycle.

Bearings: over-greasing raises temperature; follow the manufacturer's quantity and interval.

Pneumatics: a filter-regulator-lubricator unit conditions air; set pressure to the actuator requirement.

Maintenance records: log dates, faults, and actions to plan preventive maintenance.

Beauty and hairdressing: patch-test hair colour 48 hours before application; sanitise tools between clients.

Food production: keep hot food above 60 °C and cold food below 5 °C; store raw meat below cooked food.

Sewing: seam allowance is the distance from the seam line to the cut edge; take measurements before drafting.

Automobile servicing: check tyre pressure when cold; rotate tyres and check tread depth.

Computer operator: back up data regularly, keep antivirus updated, and follow the password policy.

Appliance repair: unplug before opening; discharge capacitors before touching the circuit.

Agriculture: seed rate and spacing determine plant population; soil testing guides fertiliser application.

Customer service: confirm the requirement, explain the procedure, and record the transaction.

Emergency medical technician: scene safety first, then assess responsiveness and call for help; start compressions for an unresponsive non-breathing patient.

Airway: head tilt–chin lift for adults; use a bag-valve-mask with a good seal and watch chest rise.

Bleeding control: direct pressure, elevation, and a tourniquet only for life-threatening limb bleeding.

Spinal care: immobilise and log-roll a suspected spinal injury; do not remove a helmet unless the airway is obstructed.

Medical emergencies: note the time of onset for suspected stroke; give sugar for hypoglycaemia if the patient can swallow.

Vital signs: record pulse, respiration, blood pressure, and oxygen saturation before and after intervention.

Handover: give the mechanism of injury, findings, treatment given, and response in a structured format.

Infection control: wear gloves, dispose of sharps safely, and clean equipment between patients.

Environmental engineering: BOD measures oxygen consumed by microbes; COD measures total oxidisable matter.

Water treatment: screening, coagulation–flocculation, sedimentation, filtration, and disinfection.

Air pollution: PM2.5 penetrates deep into the lungs and is more hazardous than PM10.

Solid waste hierarchy: reduce, reuse, recycle, recover energy, and dispose as the last option.

Noise: sound pressure level = 20 log(P/P₀); a 10 dB increase is roughly a tenfold increase in intensity.

Hydrology: runoff = rainfall − losses; a unit hydrograph gives runoff for one unit of rainfall.

Transportation: design speed and traffic volume determine lane width and pavement thickness.

Surveying for roads: a longitudinal section gives levels along the alignment; a cross-section gives widths and side slopes.

Skeletal muscle: calcium binds troponin, exposing actin-binding sites for myosin heads.

Nerve conduction: myelinated fibres conduct faster by saltatory conduction; velocity increases with fibre diameter.

Cardiac conduction: the sinoatrial node is the pacemaker; the atrioventricular node delays the impulse.

Digestion: pepsin digests protein in acid; trypsin and chymotrypsin act in the alkaline small intestine.

Kidney: the loop of Henle creates a concentration gradient; ADH controls collecting duct water permeability.

Blood: plasma is about 55% of blood volume; red cells live about 120 days.

Respiration: oxygen is carried mainly by haemoglobin; carbon dioxide mainly as bicarbonate.

Temperature regulation: the hypothalamus controls heat loss by sweating and vasodilation and heat production by shivering.

Nutrition: a balanced diet supplies energy, protein, vitamins, and minerals; needs rise in fever, trauma, and pregnancy.

Enteral feeding: check tube placement, elevate the head of the bed, and give feeds at the prescribed rate.

Parenteral nutrition: monitor blood glucose, electrolytes, and the central line site.

Diabetic care: check blood glucose before meals and at bedtime; rotate injection sites.

Hypertension: teach low-salt diet, weight control, regular medication, and home monitoring.

Cardiac rehabilitation: graded exercise, risk-factor modification, and education improve recovery.

Chronic disease self-management: action plans help patients respond early to breathlessness or hypoglycaemia.

Patient education: document and evaluate; teach-back confirms understanding.

Cold chain: keep vaccines at 2–8 °C, use a vaccine vial monitor, and never use a vial beyond its discard point.

Immunisation: BCG intradermal on the left upper arm; DPT and hepatitis B intramuscular in the thigh for infants.

Adverse events: manage anaphylaxis with adrenaline, position the patient, and report the event.

Growth chart: a rising curve indicates adequate growth; a flat curve needs feeding assessment.

Oral rehydration: small frequent sips; zinc for 14 days reduces diarrhoea duration.

Danger signs in children: inability to feed, convulsions, lethargy, chest indrawing, and severe dehydration.

Antenatal counselling: diet, rest, danger signs, institutional delivery, and birth preparedness.

Postnatal visits on days 1, 3, 7, 14, 21, and 42 check mother and newborn.

Packaging: blister packs protect from moisture; glass is inert and suitable for injectables.

Labelling: drug name, strength, batch number, dates, storage conditions, and warnings.

Controlled release: polymers or osmotic pumps slow release and reduce peak–trough fluctuation.

Inhalers: a propellant or dry-powder carrier delivers drug; particles below 5 µm reach the lower airways.

Ophthalmic products: must be sterile and isotonic; preservatives are avoided in intraocular products.

Inventory: ABC and VED analysis prioritise stock control and avoid stock-outs of vital items.

Dispensing calculations: percentage strength × volume gives the amount of drug; convert units carefully.

Pharmacovigilance: report the suspected drug, reaction, time course, and outcome for causality assessment.

Oncology: staging describes extent (TNM); grading describes differentiation; both guide treatment and prognosis.

Chemotherapy: monitor blood counts for myelosuppression; antiemetics and growth factors support tolerance.

Radiotherapy: fractionation spares normal tissue; side effects depend on site and dose.

Palliative medicine: titrate opioids to pain; give laxatives to prevent constipation.

Infectious disease: fever with rash and travel history suggests specific infections; isolation and notification may be required.

Tuberculosis: sputum microscopy and molecular testing confirm diagnosis; adherence prevents resistance.

HIV: antiretroviral therapy for all diagnosed patients; monitor viral load and CD4 count.

Vaccination in adults: consider age, comorbidity, pregnancy, and immune status.

Engineering drawing: orthographic views follow first- or third-angle projection; the front view shows length and height.

Sectional views: hatching at 45° shows cut material; a half section shows one quarter removed.

Limits and fits: the nominal size with upper and lower deviations; tolerance is the difference between them.

Geometric tolerancing: controls form, orientation, location, and runout using feature control frames.

Assembly drawings: show the relationship of parts; a bill of materials lists part numbers and quantities.

CAD: parametric models update when dimensions change; layers organise drawing elements.

Surface finish: symbols specify roughness and machining method; a tick mark indicates the surface to be machined.

Thread and weld symbols: read with the standard reference to avoid manufacturing errors.

Basic electronics: a silicon diode conducts above about 0.7 V forward; a Zener diode regulates voltage in reverse breakdown.

Transistor: a BJT amplifies in the active region; base current controls collector current with gain β.

Rectifiers: a capacitor filter smooths the output; a regulator holds voltage constant against load change.

Soldering: heat the joint, apply solder to the joint not the iron, and avoid movement until it solidifies.

Digital basics: binary 1 and 0 represent high and low; AND, OR, NOT, NAND, and NOR implement Boolean functions.

Multimeter: select voltage, current, or resistance range before measuring.

Electrical safety: use insulated tools, check the earth connection, and avoid live work without precautions.

PCB: identify the component side and solder side; check for bridges and cold joints.

Construction: concrete is mixed from cement, sand, and aggregate; curing keeps it moist so strength develops.

Masonry: soak bricks before laying; keep mortar joints uniform and the wall plumb.

Plumbing: use the correct pipe size for the fixture; test for leaks before closing the wall.

Painting: surface preparation removes dust and old paint; primer improves adhesion.

Carpentry: measure twice and cut once; check squareness with a try square.

Electrical installation: a distribution board has a main switch, breakers, and an earth bar; label each circuit.

Welding fabrication: tack weld first, check alignment, then complete the weld with consistent travel speed.

Costing: prepare a bill of quantities from the drawing and apply current rates.

Laboratory: a complete blood count measures haemoglobin, cell counts, and indices; ESR indicates inflammation.

Biochemistry: glucose, urea, creatinine, and liver enzymes are common; fasting status affects reference values.

Microbiology: streak plate technique isolates colonies; sensitivity testing guides antibiotic selection.

Histopathology: tissue is fixed in formalin, processed, embedded, sectioned, and stained with haematoxylin and eosin.

Quality assurance: internal quality control checks precision; external assessment compares results with other laboratories.

Phlebotomy: select a suitable vein, apply the tourniquet briefly, and fill tubes in the correct order.

Point-of-care testing: follow instructions, check strip expiry, and confirm abnormal results.

Waste disposal: sharps into puncture-proof containers; infectious waste into colour-coded bins.

Probability: P(A ∪ B) = P(A) + P(B) − P(A ∩ B); independent events satisfy P(A ∩ B) = P(A)P(B).

Bayes' theorem updates prior probability with likelihood to give posterior probability.

Statistics: standard deviation is the square root of variance; the mean of a large sample tends to normal.

Calculus: derivative of xⁿ is nxⁿ⁻¹; maxima occur where the derivative is zero and changes sign.

Linear algebra: a matrix is invertible when its determinant is non-zero; eigenvalues satisfy det(A − λI) = 0.

Numerical methods: Newton–Raphson iteration xₙ₊₁ = xₙ − f(xₙ)/f′(xₙ) converges quickly near a root.

Differential equations: dy/dx + Py = Q has integrating factor e^∫P dx.

Optimisation: a linear programming problem is solved at a vertex of the feasible region.

Pharmacology: absorption depends on lipid solubility, ionisation, and surface area; the ionised form is poorly absorbed.

Autonomic nervous system: sympathetic activation raises heart rate and dilates the pupil; parasympathetic slows the heart.

Antibiotics: beta-lactams inhibit cell-wall synthesis; macrolides and tetracyclines inhibit protein synthesis.

Vaccines: live attenuated vaccines replicate and give long immunity but are avoided in immunocompromised patients.

Fluid compartments: total body water is about 60% of body weight; intracellular fluid is the larger compartment.

Electrolytes: sodium is the main extracellular cation; potassium is the main intracellular cation.

Acid–base: the bicarbonate buffer is the most important extracellular buffer.

Nutrition: vitamin C is needed for collagen synthesis; vitamin D for calcium absorption and bone mineralisation.

Leadership: autocratic, democratic, and laissez-faire styles; democratic style improves participation and morale.

Delegation: the registered nurse retains accountability; delegate tasks matched to competence and scope.

Staffing: calculate required staff from patient census and dependency level; ensure skill mix matches needs.

Conflict resolution: address the issue early, listen to both sides, and focus on the problem.

Quality indicators: infection rate, medication errors, falls, pressure ulcers, and patient satisfaction.

Nursing audit: compare care against standards and identify areas for improvement.

Legal aspects: informed consent, confidentiality, and accurate documentation protect patient and nurse.

Disaster preparedness: know the emergency plan, evacuation routes, and chain of command.

Sub-centre functions: maternal and child health, immunisation, family planning, and referral.

Eligible couple register: tracks couples for family-planning services; follow-up improves acceptance.

Home-based newborn care: visits on days 1, 3, 7, 14, 21, 28, and 42 assess weight, feeding, warmth, and danger signs.

Referral transport: arrange timely transport for obstetric emergencies; delay is a major cause of maternal death.

Sanitation education: use of toilets, safe water, and handwashing reduces diarrhoea and worm infestation.

National programmes: tuberculosis and malaria require case notification and treatment completion.

School health: screen vision, hearing, dental health, and anaemia and refer for treatment.

Record keeping: accurate registers and reports support planning and supervision.

Pharmacognosy: plant parts include leaf (senna), bark (cinchona), root (belladonna), seed (nux vomica), and resin (asafoetida).

Crude drug evaluation: organoleptic, microscopic, physical, chemical, and biological methods confirm identity and purity.

Extraction: maceration, percolation, decoction, and Soxhlet extraction; solvent choice depends on polarity.

Volatile oils are aromatic and steam-distilled; fixed oils are fatty and not volatile.

Tannins precipitate proteins and are astringent; alkaloids are extracted by acid–base methods.

Herbal standardisation: marker compounds, ash values, extractive values, and microbial limits.

Enzymes: amylase, protease, and lipase act under specific temperature and pH conditions.

Immunological products: vaccines and sera need cold storage and careful handling.

Radiology: a chest radiograph is described by lung fields, heart size, mediastinum, hila, pleura, and bones.

Ultrasound is first-line for gallstones and obstetric assessment; it is safe and uses no ionising radiation.

CT is preferred for acute head injury and suspected pulmonary embolism; contrast improves detail.

MRI gives excellent soft-tissue contrast without ionising radiation; metallic implants are a contraindication.

Nuclear medicine uses radiotracers to assess function; the thyroid scan uses iodine or technetium uptake.

Radiation protection: time, distance, and shielding; staff dosimeters monitor exposure.

Interventional radiology: imaging guides biopsy, drainage, and angioplasty.

Reporting: describe findings, give a differential diagnosis, and recommend the next step.

Circuits: Kirchhoff's laws, mesh analysis, and nodal analysis solve multi-loop networks; superposition applies to linear circuits.

AC circuits: impedance Z = R + j(X_L − X_C); power factor = cosφ; correcting it reduces current and losses.

Three-phase power: total power = √3 × V_line × I_line × power factor for a balanced load.

Transformers: efficiency is maximum when copper loss equals iron loss; regulation is the voltage drop from no load to full load.

Induction motors: torque is proportional to slip near synchronous speed; a wound-rotor motor allows external resistance starting.

DC machines: a generator converts mechanical to electrical energy; a motor converts electrical to mechanical energy.

Power factor improvement: capacitors in parallel with inductive loads; rating is in kVAR.

Tariff: two-part tariff charges a fixed demand charge plus an energy charge per kWh.

Engineering drawing: a title block gives the part name, material, scale, and drawing number.

Dimensioning: give the minimum dimensions needed for manufacture; avoid duplicate dimensions.

Projection: hidden outlines use dashed lines; centre lines locate holes and axes; dimensions are in millimetres.

Tolerance and fits: a hole basis system uses H for holes; the shaft letter and number give the fit type.

Sketches: a freehand sketch records a part quickly; add all dimensions before leaving the machine.

Limits: upper and lower deviations define the permitted size range.

Surface roughness: Ra values are specified for functional surfaces.

Drawing standards: symbols, line types, and lettering follow the national standard.

Photography: exposure depends on aperture, shutter speed, and ISO; a wider aperture reduces depth of field.

Graphic design: use a grid for alignment, maintain contrast, and keep a consistent font hierarchy.

Printing: offset suits long runs; digital suits short runs; resolution is in dots per inch.

Fashion design: take measurements, draft a basic block, adapt it for the design, and check fit with a toile.

Catering: standard recipes control cost and quality; portion control keeps food cost within budget.

Hospitality: front-office procedures include reservation, registration, room allocation, and billing.

Retail: stock rotation follows first-in first-out; reconcile inventory records with physical counts.

Entrepreneurship: a business plan covers market, product, cost, pricing, and cash flow.

Optometry: spherical power corrects myopia or hyperopia; cylindrical power corrects astigmatism with its axis.

Contact lens care: clean, rinse, and store in fresh solution; never use tap water or share lenses.

Low vision aids: magnifiers and telescopic lenses help patients with residual vision; training improves use.

Audiology: tympanometry assesses middle-ear function; otoacoustic emissions screen cochlear function in newborns.

Speech therapy: assessment of articulation, language, and voice guides therapy; early intervention improves outcomes.

Prosthetics and orthotics: fit and alignment affect comfort and function; check skin integrity regularly.

Occupational therapy: adapt the environment and train daily living skills for independence.

Rehabilitation team: doctor, nurse, physiotherapist, occupational therapist, and social worker plan care together.

Thermodynamics: the zeroth law defines temperature; the third law states entropy approaches a constant as temperature approaches absolute zero.

Steam: saturated steam is at the boiling point for its pressure; superheated steam is above that temperature.

Otto cycle efficiency = 1 − 1/r^(γ−1); diesel cycle efficiency depends on the cut-off ratio.

Refrigeration: COP = refrigerating effect / work input; a heat pump has COP = heating effect / work input.

Fluid flow: a venturi meter uses pressure difference to measure flow; a pitot tube measures velocity head.

Turbines: an impulse turbine uses pressure drop in the nozzle; a reaction turbine uses pressure drop across moving blades.

Vibrations: natural frequency of a spring-mass system = (1/2π)√(k/m); resonance occurs at the natural frequency.

Machine design: a keyway weakens the shaft; stress concentration factors apply at changes of section.

Genetics: a Punnett square predicts offspring ratios; sex-linked traits appear more often in males.

Chromosomal disorders: Down syndrome is trisomy 21; Turner syndrome is 45,X; Klinefelter syndrome is 47,XXY.

Biomolecules: carbohydrates are the main energy source; proteins are built from amino acids; lipids store energy.

Enzymes lower activation energy and are affected by temperature and pH; denaturation destroys activity.

Cell division: mitosis produces two identical diploid cells; meiosis produces four haploid gametes.

Evolution: natural selection acts on variation; genetic drift changes allele frequencies in small populations.

Ecology: energy flows through trophic levels with loss at each step; decomposers return nutrients to the soil.

Biotechnology: restriction enzymes cut DNA; polymerase chain reaction amplifies a specific sequence.

Maternal nursing: monitor blood pressure, weight, urine protein, and fetal growth at each antenatal visit.

Labour support: encourage mobility in the first stage, provide pain relief, and monitor contractions and fetal heart rate.

Postpartum assessment: check uterine involution, lochia, perineum, breast, and bladder; assess for depression.

Neonatal care: maintain warmth, initiate breastfeeding within an hour, give vitamin K, and record birth weight.

Family-centred care: involve the family in decisions and teaching; respect cultural preferences.

High-risk pregnancy: gestational diabetes, hypertension, and multiple pregnancy need closer monitoring.

Contraception counselling: discuss effectiveness, side effects, and protection against infection.

Breastfeeding problems: manage engorgement, cracked nipples, and mastitis with correct latch and timely treatment.

Snakebite: immobilise the limb, keep the patient calm, remove tight items, and transfer to hospital; do not cut or suck the wound.

Heat stroke: move to a cool place, remove excess clothing, cool with water and fanning, and give fluids if conscious.

Drowning: remove from water safely, check breathing, start resuscitation if needed, and arrange urgent transfer.

Poisoning: identify the substance, keep the container, and do not induce vomiting after corrosive ingestion.

Burns: cool with running water for at least 20 minutes, cover with a clean cloth, and do not apply toothpaste or oil.

Fracture: immobilise with a splint, check distal circulation, and avoid unnecessary movement.

Choking: encourage coughing, give back blows, then abdominal thrusts; for infants use back slaps and chest thrusts.

Emergency referral: record vital signs, treatment given, and time of transfer.

Alligation method finds the ratio for mixing two strengths; the alternate gives parts of each.

Dilution: C₁V₁ = C₂V₂; check units before calculating.

Paediatric dose by Young's rule = (age/(age + 12)) × adult dose; Clark's rule uses weight in pounds.

Percentage solutions: % w/v is grams per 100 mL; % w/w is grams per 100 g; % v/v is mL per 100 mL.

Isotonicity: freezing point depression of 0.52 °C is isotonic; sodium chloride equivalent values are tabulated.

Dosage forms: elixirs are hydroalcoholic; syrups are concentrated sugar solutions; tinctures are alcoholic extracts.

Sterile products: pyrogen-free water for injections; autoclaving is the standard terminal sterilisation method.

Prescription errors: check the decimal point, units, and abbreviations; write 'units' in full.

Thyroid storm: fever, tachycardia, and agitation; treat with antithyroid drugs, beta blockers, and supportive care.

Adrenal crisis: hypotension and hyponatraemia in a patient on steroids need immediate hydrocortisone and fluids.

Diabetes insipidus: large volumes of dilute urine with high serum osmolality; treat with desmopressin.

Hyperkalaemia with ECG changes: calcium gluconate, insulin with glucose, and removal of the cause.

Mixed acid–base disorders: calculate the expected compensation; a value outside the range indicates a second disorder.

Renal colic: loin-to-groin pain with haematuria; non-contrast CT is the investigation of choice.

Acute abdomen: tenderness with rigidity suggests peritonitis and needs urgent surgical assessment.

Sepsis bundle: measure lactate, take cultures, give antibiotics, and start fluids within the first hour.

Digital electronics: combinational circuits have no memory; sequential circuits use flip-flops and a clock.

Counters: a modulus-n counter needs ⌈log₂n⌉ flip-flops; ripple counters have cumulative propagation delay.

Registers: a shift register moves data one bit per clock; a parallel-load register loads all bits at once.

Memories: ROM is non-volatile and programmed once; RAM needs power; flash is non-volatile and rewritable.

Microcontrollers: ADC quantises a voltage into a digital value; resolution depends on the number of bits.

Embedded systems: a real-time system must meet deadlines; interrupts and timers control periodic tasks.

Protocols: SPI uses separate clock and data lines; I²C uses two wires with addressing.

PCB design: wide tracks for high current, separate analogue and digital grounds, and decoupling capacitors near chips.

Trade safety: wear goggles when grinding, avoid loose clothing near rotating parts, and keep the work area clear.

Lifting: bend the knees, keep the load close, and ask for help with heavy loads.

Fire safety: use an extinguisher matched to the fire class; water is not used on electrical or oil fires.

First aid for cuts: clean, apply pressure, cover with a sterile dressing, and report the injury.

Electric shock: switch off the supply before touching the casualty; start resuscitation if needed.

Housekeeping: 5S - sort, set in order, shine, standardise, and sustain.

Hand tool care: keep cutting edges sharp, store tools in place, and inspect for damage.

Permit to work: hot work and confined-space entry need a permit and a standby person.

Mobile repair: check the charger, battery, and charging port before replacing components; use an anti-static mat.

Computer assembly: match the processor socket, RAM type, and power supply rating; apply thermal paste thinly.

Networking: crimp the RJ45 connector with the correct colour code; test with a cable tester.

CCTV: position cameras to cover the area, use the correct power supply, and secure cables.

Solar maintenance: clean panels, check connections, and inspect the inverter for faults.

AC servicing: clean filters and coils, check gas pressure, and verify drainage.

Refrigeration repair: check the compressor, thermostat, and refrigerant charge; leak test before recharging.

Customer documentation: record the fault, parts replaced, and test results.

Health records: each record has a unique identifier; entries are dated, timed, signed, and never erased.

Confidentiality: disclose only to authorised staff or where the law requires; secure records.

Medical coding: assign codes from diagnosis and procedure; accuracy supports billing and statistics.

Hospital statistics: bed occupancy rate = patient-days / (beds × days) × 100.

Admission and discharge: verify identity, complete documentation, and hand over belongings.

Medico-legal cases: preserve evidence, record findings accurately, and inform the authorities.

Consent: requires capacity, information, and voluntariness; emergency treatment may proceed to save life.

Audit: review records against standards, identify gaps, and re-audit after improvement.

Materials: Young's modulus measures stiffness; ductility is measured by percentage elongation.

Fatigue: failure under repeated stress below ultimate strength; smooth surfaces and compressive residual stress improve life.

Creep: slow deformation under constant load at high temperature; alloying and larger grain size improve resistance.

Corrosion: rusting of iron needs water and oxygen; stainless steel resists corrosion because of a chromium oxide layer.

Composites: fibre-reinforced materials combine strength and low weight; properties depend on fibre orientation.

Testing: impact test measures toughness; hardness measures resistance to indentation; NDT detects internal defects.

Heat treatment: quenching forms martensite; tempering reduces brittleness and relieves stress.

Failure analysis: examine the fracture surface, check material and load history, and identify the initiation site.

Thorax: the right lung has three lobes, the left has two; the heart lies in the mediastinum with the apex to the left.

Abdomen: the liver is in the right upper quadrant, the spleen in the left upper quadrant, and the appendix in the right lower quadrant.

Skull: the mandible is the only movable bone; sutures join the cranial bones.

Joints: a synovial joint has a cavity and synovial fluid; a hinge joint allows movement in one plane.

Vessels: arteries carry blood away from the heart; veins have valves; capillaries allow exchange.

Lymphatic system: lymph nodes filter lymph and are sites of immune response; the spleen filters blood.

Nervous system: the autonomic system controls involuntary functions; the somatic system controls voluntary movement.

Senses: rods detect dim light; cones detect colour; the cochlea detects sound.

Critical care: monitor airway, breathing, circulation, and neurological status; use early warning scores.

Mechanical ventilation: check tube position, cuff pressure, and settings; suction only when needed.

Central line care: aseptic technique for dressing changes; watch for infection, thrombosis, and air embolism.

Sepsis screening: fever, tachycardia, tachypnoea, and altered mental state need early escalation.

Pain management: assess with a validated scale, give analgesia, and reassess the effect.

Pressure area care: risk assessment, regular repositioning, and clean dry skin.

Nutrition: start enteral feeding early when safe; monitor tolerance and blood glucose.

End-of-life care: provide comfort, dignity, and family support; document the plan and respect wishes.

Adolescent reproductive health: provide information on puberty, menstrual hygiene, and safe behaviour; respect confidentiality.

Menopause: hot flushes, sleep disturbance, and mood changes are common; screen for osteoporosis and cardiovascular risk.

Cancer screening: visual inspection with acetic acid for cervical cancer and breast self-examination are simple measures.

Mental health: recognise depression and anxiety, provide support, and refer when needed.

Substance use: screen for tobacco, alcohol, and drugs; give brief advice and refer for counselling.

Occupational health: identify hazards, promote protective equipment, and report injuries.

Disability: assess function, provide assistive devices, and support inclusion.

Elderly abuse: recognise signs, ensure safety, and report according to the law.

Drug development: preclinical testing precedes phases I to III; regulatory approval follows review of safety and efficacy.

Generic drugs contain the same active ingredient; bioequivalence compares rate and extent of absorption.

Pharmacopoeial monographs specify description, solubility, identification tests, assay, and storage.

Quality by design builds quality into the process; critical quality attributes are identified and controlled.

Good distribution practice ensures storage and transport conditions throughout the supply chain.

Adverse drug reactions: type A are predictable and dose-related; type B are unpredictable and often immune-mediated.

Drug interactions with laboratory tests can cause false results; inform the laboratory of medication.

Medication reconciliation at admission and discharge prevents duplication and omission.

Stroke: middle cerebral artery stroke causes contralateral weakness and aphasia if the dominant hemisphere is affected.

Status epilepticus: first-line is a benzodiazepine, followed by a loading dose of an antiepileptic.

Head injury: declining consciousness needs urgent CT; avoid hypotension and hypoxia.

Spinal cord injury: immobilise the spine, assess motor and sensory levels, and monitor for autonomic dysreflexia.

Peripheral neuropathy: diabetes, alcohol, and vitamin deficiency are common causes; examine sensation and reflexes.

Myopathy: proximal weakness with normal sensation; check creatine kinase and thyroid function.

Neuroimaging: CT detects acute haemorrhage; MRI is better for soft tissue and demyelination.

Rehabilitation: early mobilisation and task-specific training improve functional recovery.

Water demand: estimated from population and per-capita consumption; design period affects pipe size.

Wastewater: BOD₅ is measured over five days at 20 °C; treatment reduces BOD before discharge.

Air quality: the air quality index summarises pollutant levels; particulate control uses cyclones, filters, and precipitators.

Solid waste: composting and anaerobic digestion recover nutrients and energy; landfill needs a liner and leachate collection.

Transportation: traffic volume counts inform road design; the peak-hour factor adjusts for hourly variation.

Structural analysis: a simply supported beam has zero moment at the supports; a cantilever has maximum moment at the fixed end.

Concrete: workability is measured by slump; curing affects strength gain; the water–cement ratio controls permeability.

Construction management: a bar chart shows duration; a network diagram shows dependency and critical path.

Workshop calculation: area of a circle = πr²; circumference = 2πr; volume of a cylinder = πr²h.

Trigonometry: sinθ = opposite/hypotenuse; tanθ = opposite/adjacent; used for taper and angle.

Speed and feed: cutting speed in m/min, feed in mm/rev, and depth of cut determine machining time.

Percentage and ratio: percentage = (part/whole) × 100; alloy composition is given by percentage.

Units: 1 m = 1,000 mm; 1 kgf = 9.81 N; 1 kWh = 3.6 × 10⁶ J.

Tolerance: upper limit = basic size + upper deviation; lower limit = basic size + lower deviation.

Costing: total cost = material + labour + overhead; profit is added as a percentage.

Graph reading: read the axes and scale; the slope of a straight line gives the rate of change.

Automotive electricals: the battery supplies starting current; the alternator charges it while the engine runs.

Lighting: a fluorescent lamp needs a choke and starter; an LED lamp needs a driver.

Motor winding: identify the start and run windings; a capacitor motor uses a capacitor in the start winding.

Wiring accessories: a socket has live, neutral, and earth terminals; the earth terminal is longer.

Testing: a test lamp checks voltage; a multimeter measures voltage, current, and continuity.

Energy saving: LED lamps use less power; power factor correction reduces losses.

Tool maintenance: keep insulation intact, check the plug and cord, and tag out faulty tools.

Documentation: record the work done, materials used, and test results.

Dental assisting: prepare instruments, maintain suction, and keep the field dry; sterilise instruments after use.

Dental radiography: use a lead apron and thyroid shield; position the film/sensor parallel to the tooth.

Dental materials: amalgam is strong but not aesthetic; composite matches tooth colour; glass ionomer releases fluoride.

Impression taking: select the correct tray, mix to a smooth consistency, and remove after setting.

Oral hygiene: use a soft brush, fluoride toothpaste, and interdental cleaning; demonstrate the technique.

Dental emergencies: control bleeding with pressure, place an avulsed tooth in milk, and refer immediately.

Infection control: disinfect impressions before sending to the laboratory; follow hand hygiene.

Patient records: record treatment, materials used, and follow-up instructions.

Transformers: the core is laminated to reduce eddy current loss; a high-resistance core reduces hysteresis loss.

Transmission lines: surge impedance Z₀ = √(L/C); surge impedance loading gives the natural power limit.

Stability: steady-state stability depends on the power–angle curve; a fault reduces transferable power.

Protection: distance relays measure impedance to the fault; differential protection compares currents at both ends.

Circuit breakers: the arc is extinguished by increasing dielectric strength or by lengthening and cooling the arc.

Renewables: solar output depends on irradiance and temperature; wind power depends on the cube of wind speed.

Storage: batteries store energy chemically; supercapacitors deliver high power quickly.

Smart grid: communication and control allow demand response and distributed generation.

Cardiovascular: the cardiac cycle has systole and diastole; the first heart sound is from closure of the atrioventricular valves.

Blood pressure: systolic reflects cardiac output; diastolic reflects peripheral resistance.

Respiratory: tidal volume, inspiratory reserve, expiratory reserve, and residual volume make up total lung capacity.

Renal: the filtrate contains water, glucose, and electrolytes; glucose is reabsorbed in the proximal tubule.

Gastrointestinal: gastric acid secretion is stimulated by gastrin, histamine, and acetylcholine.

Neurophysiology: the resting potential is maintained by the sodium–potassium pump and potassium permeability.

Endocrine: insulin lowers blood glucose; cortisol raises it and suppresses inflammation.

Reproductive: oestrogen peaks before ovulation; progesterone supports the luteal phase and pregnancy.

Standard precautions apply to all patients; transmission-based precautions are added for specific infections.

Antimicrobial stewardship: prescribe only when indicated, choose the narrowest effective agent, and review after culture.

Hand hygiene moments: before patient contact, before a clean procedure, after body fluid exposure, after patient contact, and after surroundings.

Isolation: cohort patients with the same organism; use dedicated equipment where possible.

Staff vaccination: hepatitis B, influenza, and other recommended vaccines protect staff and patients.

Outbreak investigation: identify cases, find the source, implement control measures, and monitor.

Cleaning and disinfection: clean first, then disinfect; follow the contact time.

Surveillance: record infection rates and feed data back to staff.

Reproductive health: provide information on safe motherhood, contraception, and prevention of sexually transmitted infections.

Antenatal nutrition: iron, folic acid, calcium, and a balanced diet prevent anaemia and support fetal growth.

Danger signs: bleeding, severe headache, blurred vision, swelling, reduced fetal movement, and fever need referral.

Labour: monitor progress with a partograph, check fetal heart rate, and record contractions.

Newborn care: dry, wrap, and place skin-to-skin; start breastfeeding within an hour; give vitamin K.

Postpartum: monitor bleeding, uterine tone, and vital signs; encourage early ambulation.

Family planning: provide a choice of methods, explain side effects, and schedule follow-up.

Community mobilisation: involve community health workers and local leaders.

Functional groups determine drug properties; esterification can improve lipid solubility.

Structure–activity relationships: small changes can alter potency, selectivity, and toxicity.

Metabolism: phase I oxidises, reduces, or hydrolyses; phase II conjugates to make drugs more water-soluble.

Prodrugs are inactive until metabolised; they improve absorption or target delivery.

Chirality: enantiomers can differ in activity and toxicity; the active enantiomer is sometimes developed alone.

HPLC separates and quantifies components; UV detection is common for drugs with chromophores.

Stability testing: temperature, humidity, and light over time predict shelf life.

Quality control: specifications must be met for identity, purity, potency, and performance before release.

Atrial fibrillation: irregularly irregular pulse and absent P waves; anticoagulation reduces stroke risk.

Heart failure: dyspnoea, orthopnoea, and raised jugular venous pressure suggest fluid overload; diuretics relieve symptoms.

Valvular disease: mitral stenosis causes a mid-diastolic murmur; aortic stenosis causes an ejection systolic murmur.

Hypertension: secondary causes include renal, endocrine, and drug effects; screen when young or resistant.

Lipids: statins lower LDL cholesterol and reduce cardiovascular events; monitor liver enzymes and muscle symptoms.

Acute pulmonary oedema: sit the patient up, give oxygen, diuretics, and vasodilators as indicated.

Arrhythmia: assess haemodynamic stability; unstable patients need urgent cardioversion.

Cardiac rehabilitation: exercise, risk-factor control, and education improve outcomes.

Matrices solve simultaneous equations; Cramer's rule uses determinants.

Differentiation: product rule (uv)′ = u′v + uv′; quotient rule (u/v)′ = (u′v − uv′)/v².

Integration: integration by parts ∫u dv = uv − ∫v du; substitution simplifies composite functions.

Series: binomial expansion and Taylor series approximate functions near a point.

Statistics: binomial, Poisson, and normal distributions; the normal curve is symmetric about the mean.

Numerical integration: trapezoidal rule and Simpson's rule approximate definite integrals.

Vector algebra: dot product gives the angle between vectors; cross product gives a perpendicular vector.

Complex numbers: a + jb has modulus √(a² + b²) and argument tan⁻¹(b/a).

Fitting: a file cuts on the forward stroke; a hacksaw cuts on the forward stroke; a chisel cuts with a sharp edge.

Marking out: use a datum surface, scribe lines, and centre-punch before drilling.

Drilling: speed depends on material and drill diameter; use coolant to prevent overheating.

Tapping: drill the tapping size hole, start the tap square, and use lubricant; reverse to break chips.

Measurement: a vernier caliper reads to 0.02 mm; a micrometer reads to 0.01 mm; check zero before use.

Bench work: check flatness with a straight edge and squareness with a try square.

Safety: clamp the work, wear goggles, and keep hands clear of the cutting tool.

Maintenance: clean and oil tools after use; store in a dry place to prevent rust.

Welding safety: protect eyes with a helmet, skin with gloves and apron, and ensure ventilation.

Welding defects: porosity from moisture or dirt, undercut from excessive current, and slag inclusion from poor cleaning.

Gas welding: the neutral flame has equal oxygen and acetylene; the carburising flame has excess acetylene.

Brazing: filler melts above 450 °C but below the base metal; flux prevents oxidation.

Fabrication: measure, mark, cut, and tack weld before final welding; check dimensions after welding.

Sheet metal: use a mallet to shape without stretching; anneal to soften before bending.

Electrical safety: use a residual current device, check the earth, and avoid overloading sockets.

Costing: calculate material, labour, and overhead; add profit to arrive at the quotation.

Chest radiograph: shows lungs, heart, ribs, and diaphragm; the spine is seen in the lateral view.

Positioning: ensure correct position and immobilisation to avoid repeat exposures.

Contrast media: check allergy and renal function before iodinated contrast; be ready to manage anaphylaxis.

Dose: use the lowest dose that gives diagnostic quality; collimate to the area of interest.

Image quality: contrast, resolution, and noise determine diagnostic value; artefacts can mimic disease.

PACS: images are stored digitally; the radiologist reports findings and recommends follow-up.

Quality control: test the X-ray machine for output, collimation, and leakage.

Patient care: explain the procedure, obtain consent, and respect privacy.

Viscosity is resistance to shear; dynamic viscosity units are Pa·s; kinematic viscosity = dynamic viscosity/density.

Hydrostatics: pressure at depth h is ρgh; a manometer measures pressure difference using a liquid column.

Flow measurement: orifice and venturi meters use pressure difference; a rotameter gives a direct reading.

Pumps: a centrifugal pump's head–flow curve shows maximum head at zero flow; efficiency peaks at the design point.

Turbines: a Pelton wheel is an impulse turbine for high head; a Francis turbine is a reaction turbine for medium head.

Boundary layer: velocity is zero at the wall; the layer grows along the surface and separates under adverse pressure.

Dimensional analysis: Reynolds, Froude, and Mach numbers characterise flow regimes and model testing.

Pipes in series: head losses add; in parallel, head loss is the same and flows add.

Cell injury: reversible injury shows swelling; irreversible injury shows membrane damage and mitochondrial failure.

Inflammation: acute has neutrophils; chronic has lymphocytes and macrophages.

Wound healing: primary intention heals with minimal granulation; secondary intention heals with more granulation.

Neoplasia: benign tumours are well-differentiated; malignant tumours show invasion, metastasis, and anaplasia.

Haemodynamics: thrombosis forms in stasis, endothelial injury, or hypercoagulability; embolism travels in the bloodstream.

Hypersensitivity: type I is IgE-mediated; type IV is T-cell mediated.

Genetic diseases: autosomal dominant appears in every generation; autosomal recessive may skip generations.

Nutritional deficiency: protein-energy malnutrition shows wasting or oedema; vitamin deficiencies show specific syndromes.

Health assessment: inspect, palpate, percuss, and auscultate in that order, except the abdomen where auscultation precedes palpation.

Vital signs: measure temperature, pulse, respiration, blood pressure, and oxygen saturation; record and report abnormal values.

Neurological: use the Glasgow Coma Scale for eye, verbal, and motor responses; total 3–15.

Respiratory: observe rate, rhythm, depth, and breath sounds; note cyanosis and accessory muscle use.

Cardiovascular: check pulse rate, rhythm, volume, and capillary refill; auscultate heart sounds.

Skin: check colour, temperature, moisture, turgor, and integrity; document lesions.

Pain: use a validated scale and record location, quality, severity, and effect on function.

Documentation: record findings accurately and promptly; report abnormal findings.

Community diagnosis: collect data on population, health status, and resources; identify priority problems with the community.

Health education planning: define the target group, message, method, and evaluation.

Home visit bag: carry essential supplies, keep the bag clean, and place it on a clean surface.

Referral: use the correct level of facility; provide a note with findings and treatment.

Immunisation microplanning: list eligible children, fix sessions, and track defaulters.

Maternal death review: identify causes and contributing factors; maintain confidentiality.

Communicable disease control: notify cases, isolate when needed, and trace contacts.

Record keeping: maintain antenatal, postnatal, immunisation, and family-planning registers.

First-order absorption and elimination give a curve with a peak; peak time depends on absorption and elimination rates.

Steady state is reached after about 4–5 half-lives; a loading dose reaches therapeutic levels faster.

Clearance determines the maintenance dose; volume of distribution determines the loading dose.

Interactions: antacids reduce absorption; enzyme inducers lower and inhibitors raise plasma levels.

Protein binding: only the free drug is active; hypoalbuminaemia increases free drug and toxicity risk.

Renal impairment: reduce dose based on creatinine clearance; avoid nephrotoxic drugs.

Hepatic impairment: reduce doses of hepatically metabolised drugs; monitor for adverse effects.

Therapeutic drug monitoring is useful for narrow-index drugs such as digoxin and lithium.

Asthma shows reversible obstruction; COPD shows persistent obstruction; both use inhaled bronchodilators.

Pneumonia: assess severity, take cultures, and start antibiotics; oxygen and fluids support recovery.

Tuberculosis: sputum testing confirms diagnosis; adherence to the full regimen prevents resistance.

Pleural effusion: tap the fluid; transudate suggests heart failure or liver disease, exudate suggests infection or malignancy.

Pulmonary embolism: sudden breathlessness and chest pain after immobility; CT pulmonary angiography confirms.

Sleep apnoea: snoring and daytime sleepiness; sleep study confirms and CPAP is the treatment.

Interstitial lung disease: dry cough and breathlessness; high-resolution CT and lung function tests guide diagnosis.

Smoking cessation: brief advice and pharmacotherapy improve quit rates.

A first-order system's step response reaches 63.2% of final value at one time constant.

Second-order systems: damping ratio determines overshoot; underdamped oscillates; critically damped does not.

Stability: all closed-loop poles must have negative real parts; the Nyquist criterion checks stability.

PID tuning: Ziegler–Nichols rules set gains from the ultimate gain and period.

State-space: ẋ = Ax + Bu and y = Cx + Du describe the system.

Digital control: sampling introduces delay; the z-transform analyses discrete-time systems.

Sensors: thermocouple for temperature; strain gauge for strain; LVDT for displacement.

Actuators: a servomotor gives controlled motion; a solenoid gives on–off actuation.

Welding symbols: a fillet weld is a triangle; a butt weld is shown by its preparation shape.

Positions: flat is easiest; overhead is hardest; choose current and electrode accordingly.

Testing: visual inspection first; dye penetrant finds surface defects; radiography finds internal defects.

Casting: the pattern is slightly larger to allow for shrinkage; a draft angle helps removal.

Forging: hot forging refines grain and improves strength; cold forging improves surface finish.

Machining: turning, milling, drilling, and grinding each have their own tool and speed.

Measurement: use a vernier for 0.02 mm and a micrometer for 0.01 mm.

Maintenance: lubricate, clean, and inspect machines regularly to prevent breakdowns.

Distribution board: main switch, circuit breakers, and earth bar; label each circuit.

Cable size: current capacity depends on conductor size and insulation; voltage drop must be within limits.

Earthing: the earth wire provides a low-resistance path; test earth resistance periodically.

Lighting: lumens measure light output; lux measures illuminance; the inverse-square law applies.

Motor control: direct-on-line is simple; star–delta reduces starting current.

Testing: a megger measures insulation resistance; a multimeter measures voltage, current, and resistance.

Safety: isolate the supply, lock out, and test before working on a circuit.

Documentation: record the work done, test results, and materials used.

Laboratory safety: wear gloves, lab coat, and goggles; never pipette by mouth; disinfect benches.

Specimen handling: label at the bedside, use the correct container, and transport promptly.

Haematology: the complete blood count includes haemoglobin, red cell indices, white cell count, and platelets.

Coagulation: PT and aPTT assess different pathways; collect in citrate tubes.

Biochemistry: fasting glucose, lipid profile, liver and renal function tests; reference ranges vary.

Microbiology: Gram stain, culture, and sensitivity guide antibiotic choice; take cultures before antibiotics.

Blood bank: ABO and Rh typing, cross-match, and antibody screening ensure safe transfusion.

Quality control: run controls with each batch; investigate out-of-range values before reporting.

Chain survey measures distances; compass survey measures bearings; level survey measures heights.

Bearings: whole-circle bearing is measured clockwise from north; reduced bearing from the nearest north or south.

Theodolite: horizontal circle measures horizontal angles; vertical circle measures elevation and depression.

Contours join points of equal elevation; closely spaced contours indicate steep ground.

Earthwork: prismoidal formula volume = (L/6)(A₁ + 4A_m + A₂).

Setting out: use a baseline with offsets and right angles; check diagonals for squareness.

GPS: satellites give position; accuracy depends on satellite number and correction signals.

Total station: combines electronic distance and angle measurement; records data digitally.

Receptors include G-protein coupled, ion channel, enzyme-linked, and nuclear receptors.

Dose–response: a log dose–response curve is sigmoid; potency is the dose for a given effect; efficacy is the maximum effect.

Zero-order elimination occurs when enzymes are saturated, so a constant amount is removed per unit time.

Type A reactions are dose-related and predictable; type B are unpredictable and often immune-mediated.

Antimicrobial resistance mechanisms include enzyme production, efflux pumps, and altered target sites.

Live vaccines are contraindicated in pregnancy and immunosuppression; inactivated vaccines are safer.

Opioids act on mu receptors; NSAIDs inhibit cyclo-oxygenase; paracetamol acts centrally.

Beta blockers reduce heart rate and blood pressure; diuretics reduce fluid overload.

Community health nursing: assess the community, identify needs, plan and implement interventions, and evaluate.

Epidemiology: incidence measures new cases; prevalence measures existing cases.

Screening: a good test is sensitive, specific, acceptable, and affordable; it detects disease early.

Health promotion: use education, counselling, and environmental measures to improve health.

Maternal and child health: antenatal care, safe delivery, immunisation, and nutrition are core services.

Communicable disease control: notification, isolation, contact tracing, and health education.

School health: screen vision, hearing, dental health, and growth; refer for treatment.

Disaster nursing: triage, first aid, shelter, and infection control are priorities.

Newborn resuscitation: warm, dry, stimulate, position, and clear the airway; ventilate if not breathing.

Apgar: assessed at 1 and 5 minutes; five signs score 0–2; total 0–10.

Breastfeeding: start within one hour; exclusive for six months; continue to two years.

Complementary feeding: start at six months with mashed foods; continue breastfeeding; ensure hygiene.

Growth monitoring: plot weight; a flat curve indicates faltering growth.

Immunisation: follow the national schedule; record doses; manage adverse events.

Danger signs: not feeding, fast breathing, chest indrawing, fever, hypothermia, convulsions, jaundice of palms and soles.

Referral: stabilise, keep warm, and transfer promptly.

Tablets are made by wet granulation or direct compression; granulation improves flow and compressibility.

Capsules: hard gelatin holds powders; soft gelatin holds liquids; protect from moisture.

Sterile products: aseptic processing for heat-labile products; terminal sterilisation is preferred when possible.

Packaging: primary contacts the product; secondary protects and informs; labelling must be legible.

Stability: accelerated studies predict shelf life; confirm with real-time data.

Quality assurance: documentation, validation, and audit ensure consistent quality.

Good manufacturing practice: trained staff, clean premises, validated equipment, and batch records.

Recall: classified by severity; trace the batch and inform the authorities.

Peptic ulcer disease is linked to Helicobacter pylori and NSAID use; eradication reduces recurrence.

Ulcerative colitis affects the colon continuously; Crohn's disease is patchy and can affect any part of the gut.

Cirrhosis shows portal hypertension such as ascites and varices; encephalopathy needs lactulose.

Pancreatitis: severe epigastric pain radiating to the back with raised amylase or lipase; treat with fluids and analgesia.

Jaundice: pre-hepatic, hepatic, and post-hepatic causes; urine and stool colour help localise the cause.

Gastrointestinal bleeding: resuscitate first, then endoscopy; variceal bleeding needs vasoactive drugs and band ligation.

Malabsorption: weight loss and diarrhoea suggest malabsorption; check coeliac serology and faecal fat.

Colorectal cancer screening: faecal occult blood testing and colonoscopy detect early disease.

A moving-coil instrument measures DC; a moving-iron instrument measures AC and DC.

Wheatstone bridge measures resistance; Maxwell bridge measures inductance; Schering bridge measures capacitance.

Oscilloscope: the time base controls horizontal sweep; the vertical amplifier controls scale.

Transducers: a thermistor changes resistance with temperature; a piezoelectric crystal generates charge under pressure.

Signal conditioning: amplification, filtering, and linearisation prepare a sensor signal.

Errors: systematic errors are consistent and can be calibrated; random errors are reduced by averaging.

Calibration: compare with a standard of higher accuracy; record the certificate.

Data acquisition: sampling rate, resolution, and channel count determine capability.

A one-way switch controls one lamp; a two-way switch pair controls one lamp from two positions.

Cable joints: mechanically strong, electrically conductive, and insulated; soldering improves conductivity.

A fuse melts on overcurrent; a miniature circuit breaker trips and can be reset.

Earthing: the earth wire connects exposed metal to ground and protects users from shock.

A fluorescent lamp needs a choke and starter; an LED lamp needs a driver.

A single-phase motor needs a capacitor or shaded pole to start; a three-phase motor is self-starting.

Testing: a test lamp checks for voltage; a multimeter measures voltage, current, and resistance.

Safety: isolate the supply, lock out, and test before working on a circuit.

Four-stroke cycle: suction, compression, power, and exhaust; the crankshaft makes two revolutions.

Bore is cylinder diameter; stroke is piston travel; swept volume = (π/4) × bore² × stroke.

Disc brakes dissipate heat better; bleeding removes air from hydraulic lines.

A lead-acid cell gives about 2 V; six cells in series make 12 V; check electrolyte level.

The clutch connects and disconnects the engine; gear ratio changes torque and speed inversely.

The radiator dissipates heat; the thermostat regulates coolant flow; coolant prevents freezing and corrosion.

Engine oil reduces friction and carries heat; change at the recommended interval.

Safety: use jack stands, chock the wheels, and wear eye protection under a vehicle.

Exercise prescription includes type, frequency, intensity, and duration; progress gradually.

Ultrasound, TENS, and cryotherapy have specific indications and contraindications.

Manual therapy: mobilisation and manipulation restore joint movement; assess before and after.

Gait training: use walkers and crutches; fit and height must be correct.

Rehabilitation: set functional goals with the patient and measure progress.

Patient education: teach home exercises and posture; reinforce with written instructions.

Infection control: clean equipment between patients; follow hand hygiene.

Documentation: record assessment, treatment, and response.

Engineers must protect public safety, be honest, and avoid conflicts of interest.

Professional responsibility: report unsafe practices and follow codes of conduct.

Patents protect inventions; copyright protects creative works; trademarks protect brand identity.

An offer, acceptance, consideration, and intention create a binding contract.

Environmental responsibility: minimise waste, comply with regulations, and assess impact.

Sustainability: design for energy efficiency, recyclability, and reduced emissions.

Teamwork: clear communication and defined roles improve project outcomes.

Continuing education: keep skills current and learn new technologies.

Growth is measured by weight and height; development is assessed by milestones.

Neonatal jaundice appears after 24 hours in physiological cases; early jaundice needs investigation.

Immunisation: follow the national schedule; live vaccines are avoided in immunocompromised children.

Malnutrition: weight-for-height and mid-upper-arm circumference assess acute malnutrition; oedema indicates kwashiorkor.

Respiratory distress: grunting, chest indrawing, and fast breathing indicate severe illness; refer urgently.

Diarrhoea: oral rehydration salts and zinc are first-line; continue feeding.

Fever: assess for serious bacterial infection in young infants; do not delay antibiotics.

Development: head control by 3 months, sitting by 6–8 months, walking by 12–15 months.

A hypothesis is a testable statement; a null hypothesis states no difference.

Randomised controlled trials give the strongest evidence; observational studies describe associations.

Random sampling reduces bias; sample size depends on effect size and variability.

Questionnaires, interviews, and observation each have strengths and limitations.

Ethics: informed consent, confidentiality, and the right to withdraw are essential.

Mean, median, and mode measure central tendency; standard deviation measures spread.

Evidence-based practice combines best evidence, clinical expertise, and patient preference.

Dissemination: publish and present findings to improve practice.

Incidence measures new cases; prevalence measures existing cases.

Primary prevention is immunisation and education; secondary is early diagnosis; tertiary is rehabilitation.

Most maternal deaths are from haemorrhage, hypertension, sepsis, and unsafe abortion; timely referral saves lives.

Neonatal deaths are a large share of infant mortality; essential newborn care reduces mortality.

Family planning: provide a choice of methods; explain side effects and follow-up.

Health education: use the learner's language, involve the family, and demonstrate skills.

Referral: use the correct level of facility; provide a note with findings and treatment.

Records: maintain antenatal, postnatal, immunisation, and family-planning registers.

Agonists activate receptors; antagonists block them; partial agonists give a submaximal response.

ED50 is the dose for half the maximal effect; therapeutic index = TD50/ED50.

Intravenous gives 100% bioavailability; oral is subject to first-pass metabolism.

Complete the antibiotic course; use culture-guided therapy to slow resistance.

ACE inhibitors can cause dry cough; statins inhibit HMG-CoA reductase.

Paracetamol is hepatotoxic in overdose; NSAIDs can cause gastric irritation.

Antihistamines cause sedation; aminoglycosides can damage hearing and kidneys.

Counselling: explain dose, timing, and side effects; check understanding with teach-back.

The partograph detects slow labour; fetal heart rate patterns guide delivery decisions.

Antepartum haemorrhage: placenta praevia and abruption are the main causes; resuscitate and arrange delivery.

Postpartum haemorrhage: uterine atony is the commonest cause; massage the uterus and give uterotonics.

Pre-eclampsia: hypertension after 20 weeks with proteinuria; magnesium sulphate prevents seizures.

Abnormal uterine bleeding needs assessment of age, pregnancy, and endometrial pathology.

Infertility: assess both partners; ovulation, tubal patency, and semen analysis are first-line.

Contraception: discuss effectiveness, side effects, and protection against infection.

Menopause: hot flushes and mood changes are common; screen for osteoporosis and cardiovascular risk.

First law for a closed system Q − W = ΔU; for an open system enthalpy replaces internal energy.

Ideal gas: PV = nRT; for a fixed mass, P₁V₁/T₁ = P₂V₂/T₂ with temperatures in kelvin.

Entropy increases in an irreversible process; the second law limits heat engine efficiency.

Shear stress τ = F/A parallel to the surface; torsional shear stress τ = Tr/J.

Head loss by Darcy–Weisbach h_f = f(L/D)(V²/2g).

Factor of safety = strength / working stress; fatigue failure occurs below yield under cyclic loading.

Accuracy is closeness to the true value; precision is repeatability.

The critical path is the longest duration path; float is the slack available.

Mortise and tenon for frames; dovetail for drawer corners; halving joint for flush framing.

Files are graded by cut; a hacksaw blade has 14, 18, or 24 teeth per inch.

A rivet joint uses a lap or butt arrangement; rivet diameter depends on sheet thickness.

A water seal trap prevents sewer gas entry; pipe slope aids drainage.

A megger measures insulation resistance; a multimeter measures voltage, current, and resistance.

Welding current depends on electrode diameter; too high current causes spatter and undercut.

Guard rotating parts; never measure a rotating workpiece with a steel rule.

Standard wire gauge numbers increase as conductor diameter decreases.

RAM is volatile; the hard disk or SSD is non-volatile; the CPU fetches, decodes, and executes.

IPv4 addresses are 32 bits; a /24 subnet leaves 8 host bits and 254 usable hosts.

Operating systems manage processes, memory, files, and devices; a driver lets the OS control hardware.

Spreadsheet formulas begin with '='; cell references can be relative or absolute.

HTTP/HTTPS for the web, SMTP for mail, FTP for files, DNS for name resolution.

The 3-2-1 rule keeps three copies, on two media types, with one off-site.

Strong unique passwords, multi-factor authentication, and updates reduce risk.

A UPS provides backup power and surge protection; earthing protects equipment and users.

Myopia is corrected with a concave lens; hyperopia with a convex lens; astigmatism with a cylindrical lens.

Visual acuity is recorded as the smallest line read on a Snellen chart at 6 m; 6/6 is normal.

Pure-tone audiometry plots thresholds in decibels; hearing loss above 25 dB is abnormal in adults.

Haemodialysis uses a dialyser; vascular access care and fluid balance monitoring are essential.

Sterile gown and gloves are donned without touching the outer surface.

Instruments are cleaned, packed, and sterilised; sterile packs are stored in a dry, dust-free area.

Gait training uses assistive devices; fit and height are adjusted to the patient.

Secure the stretcher, check the airway and lines, and hand over clearly.