Aeronautical Engineering study plan

Rebuild calculus fluency: differentiate and integrate the functions that dominate aeronautical derivations (polynomials, exponentials, trigonometric, logarithmic), and apply the chain, product, and quotient rules without a reference sheet.

Solve first-order separable and linear ordinary differential equations by hand, and interpret the time constant and damping ratio of a first-order and second-order system in an aircraft response context.

Set up and solve 2x2 and 3x3 linear systems by Gaussian elimination and compute a determinant and inverse; connect matrix conditioning to solving a structural or circuit problem numerically.

Convert between SI and US customary units for force, pressure, stress, energy, and power, and carry units through every calculation as an error check.

Write a one-page personal formula sheet from memory for the topics above, then verify each entry against a textbook.

Apply Newton's laws and Euler's equations to a rigid body in two dimensions, resolving forces and moments for a beam and for a simple aircraft in steady level flight.

Apply the first and second laws of thermodynamics to closed and open systems, and compute the efficiency of an ideal Brayton cycle with given pressure ratio and turbine inlet temperature.

Apply Bernoulli's equation and the continuity and momentum equations to a duct of varying area, and state the assumptions under which each is valid.

Compute axial stress, bending stress, and shear stress in a simple beam section, and identify the location of maximum bending moment from a shear force diagram.

Identify the mechanical properties read from a stress-strain curve (yield, ultimate, elastic modulus, toughness) and match them to typical airframe alloys.

Derive and apply the thin airfoil and finite wing relations that connect angle of attack, camber, aspect ratio, and lift coefficient, and compute induced drag for a given span loading.

Read and interpret a NACA-style airfoil polar: identify stall angle, maximum lift coefficient, laminar bucket, and drag divergence Mach number.

Explain boundary layer transition, separation, and skin-friction drag, and estimate whether a given Reynolds number flow is laminar or turbulent over a specified chord.

Solve statically determinate truss and beam problems representative of wing spar and fuselage frame idealizations.

Distinguish static and total pressure and temperature in compressible flow, and compute Mach number from a measured pressure ratio using the isentropic relations.

Compute lift and drag for a complete aircraft in level flight and in a steady climb, and plot the thrust-required and power-required curves against speed.

Analyze straight, level, coordinated turns: compute load factor, stall speed in the turn, and the structural limit that bounds the maneuver envelope.

Convert between equivalent, calibrated, indicated, and true airspeed, and explain where each is used in performance and in certification.

Apply the Breguet range equation to a turbojet and a turboprop mission and identify which parameters dominate range.

Explain compressibility effects above the critical Mach number: wave drag rise, shock-induced separation, and the purpose of sweep, supercritical airfoils, and area ruling.

Compute shear flow, shear center, and torsion in thin-walled closed and open sections, and explain why an open section resists torsion poorly.

Check a stiffened panel for column buckling and local skin buckling, and explain crippling strength and the effective width concept.

Differentiate fatigue, damage tolerance, and fail-safe design philosophies, and describe how inspection intervals follow from crack growth analysis.

Compute specific thrust, thrust specific fuel consumption, and thermal and propulsive efficiency for a turbojet and a high-bypass turbofan at a stated altitude and Mach number.

Explain compressor surge and rotating stall, the function of bleed valves and variable stator vanes, and the creep and thermal-fatigue limits on turbine blades.

Map the airworthiness certification chain from type certificate through production and continued airworthiness, distinguishing the roles of the design approval holder, the authority, and the DER or appointed engineer.

Locate the substantive requirements that govern structural and systems design in the major airworthiness codes, and state how a means of compliance is proposed and accepted.

Explain the engineer's duties under a professional code of conduct: competence limits, honest reporting, conflict of interest, and the obligation to escalate an airworthiness concern.

Describe how a safety management system and a just-culture reporting scheme operate, and distinguish a voluntary report from a mandatory occurrence report.

Identify the export control and anti-bribery obligations that apply to sharing technical data and to sourcing components internationally.

Answer scenario questions on maintenance and modification approval, distinguishing what an engineer may sign off from what requires authority approval.

Explain environmental and noise obligations for aircraft design and operations, and how they interact with certification and with commercial pressure.

Diagnose personal weak areas from the week 1-6 error log and rework every missed problem type until it is solved unaided twice.

Rehearse the ethical-response pattern: identify the duty, the affected parties, the applicable code or regulation, and the escalation path, in under 90 seconds.

Complete two full-length timed mixed practice exams under exam conditions, with no reference material on the second attempt.

Review every missed or guessed question and classify the cause as knowledge gap, misread, unit slip, or time pressure.

Deliver a two-minute spoken explanation of three core concepts (thin airfoil lift, thin-walled torsion, certification roles) to confirm genuine understanding.

Finalize a one-page exam-day sheet containing only the constants, unit conversions, and formulas that were actually used incorrectly during practice.