Panhellenic Exact Sciences - independent subject practice study guide
Panhellenic Exact Sciences - independent subject practice · Work through your exam, one topic at a time.
This independent study page provides practice for Panhellenic Exact Sciences - independent subject practice. Its editorial learning areas include Calculus; Algebra and Functions; Geometry and Trigonometry; Probability and Statistics; Mechanics, fields, thermal behavior, waves and modern models; Physical chemistry, amounts, reactions and equilibria; Structure, bonding, materials and inorganic chemistry; Organic chemistry and macromolecules. The Panhellenic Exact Sciences - independent subject practice study guide has 8 sections and about 8,674 words.
01Calculus
Calculus practice develops the ability to move fluently between a function, its rate of change, and its accumulated total. Expect differentiation of composite, implicit and parametric forms, evaluation of definite and improper integrals, and questions that require you to justify a limit before differentiating.
348 words, about 2 min02Algebra and Functions
Algebra and function practice asks you to move fluently between symbolic, graphical, and verbal representations of relationships. Expect manipulation of polynomial, rational, radical, exponential, and logarithmic expressions; solving equations and inequalities; and reasoning about domain, range, inverse functions, and transformations.
462 words, about 2 min03Geometry and Trigonometry
This geometry and trigonometry chapter covers triangle congruence and similarity, circle properties, coordinate geometry, area and volume, and the trigonometric ratios extended to the unit circle. You should be able to prove relationships, apply the sine and cosine laws to non-right triangles, work in radians, and connect trigonometric functions to their graphs and identities.
425 words, about 2 min04Probability and Statistics
Probability and statistics practice develops conditional reasoning, standard distributions, and correct interpretation of inference - the last of which is where most marks are lost. P(A∪B) = P(A) + P(B) − P(A∩B); independence means P(A∩B) = P(A)P(B).
381 words, about 2 min05Mechanics, fields, thermal behavior, waves and modern models
This mechanics review develops kinematics, Newton's laws, momentum, rigid-body equilibrium, circular motion, oscillations and gravitational ideas. State sign conventions, resolve vectors and justify the choice of force, energy or momentum methods.
2,118 words, about 11 min06Physical chemistry, amounts, reactions and equilibria
This independent foundation chapter develops the mole as the currency of chemistry: balancing equations, identifying the limiting reagent, calculating yields and atom economy, and handling concentrations, dilutions and gas volumes confidently. n = m/M; n = cV with V in dm3; n = V/24.0 for a gas at room temperature and pressure, using the value given in the data provided.
2,162 words, about 11 min07Structure, bonding, materials and inorganic chemistry
This independent foundation chapter develops how the quantum-mechanical model of the atom explains the layout of the periodic table and the trends you are asked to predict: electron configuration, ionisation energy, atomic and ionic radius, electronegativity, and the evidence available from mass spectra and successive ionisation energies. Atomic number Z = protons; mass number A = protons + neutrons; isotopes differ only in neutrons, ions only in electrons.
1,795 words, about 9 min08Organic chemistry and macromolecules
This independent foundation chapter develops nomenclature, functional group recognition, structural, geometric and optical isomerism, reaction mechanisms and types, and the test-tube reactions that distinguish aldehydes, ketones, alkenes and alcohols. Choose the longest chain containing the principal functional group, number to give the lowest locants, and apply the priority order: carboxylic acid ester amide aldehyde ketone alcohol amine alkene alkane.
983 words, about 5 min