Basic English Grammar, Tenses, Articles and Adjectives, Prepositions, Conjunctions, Verb-Subject Agreement, Vocabulary: Idioms and Words in Context, Reading Comprehension, Sequencing of Ideas, Critical Reasoning and Verbal Deduction

Data Interpretation: Tables, Graphs and Charts, Numerical Computation and Estimation, Ratios, Percentages, Powers and Exponents, Logarithms, Permutations and Combinations, Mensuration, Geometry and Elementary Statistics, Probability

Logic: Deduction and Induction, Analogy, Numerical Relations and Reasoning

Transformation of Shapes: Translation, Rotation, Scaling, Mirroring, Assembling and Grouping, Paper Folding, Cutting and Inking, Patterns in 2 and 3 Dimensions

Matrix Algebra and Rank, Systems of Linear Equations, Eigenvalues and Eigenvectors, Cayley-Hamilton Theorem

Mean Value Theorems, Maxima and Minima, Partial Derivatives and Multiple Integrals, Gradient, Divergence and Curl, Line, Surface and Volume Integrals, Stokes', Gauss' and Green's Theorems

First Order Equations: Linear and Nonlinear, Higher Order Linear Equations with Constant Coefficients, Cauchy's and Euler's Equations, Initial and Boundary Value Problems, Laplace Transforms

Analytic Functions, Cauchy-Riemann Equations, Cauchy's Integral Theorem and Integral Formula, Taylor and Laurent Series, Residue Theorem

Sampling Theorems and Conditional Probability, Mean, Median, Mode and Standard Deviation, Random Variables and Distributions, Binomial, Poisson and Normal Distributions, Correlation and Regression Analysis

Numerical Solutions of Linear and Nonlinear Algebraic Equations, Iterative Methods and Convergence, Numerical Integration and Differentiation, Single and Multi-step Methods for ODEs

Pressure, Temperature and Airspeed Relations, Lift and Drag: Drag Polar, Takeoff and Landing, Steady Climb, Glide and Range/Endurance, Turn Performance and V-n Diagrams

Longitudinal Static Stability and Control, Lateral and Directional Stability, Control Surfaces and Trim, Equations of Motion: Linearised, Decoupled Dynamics

Conservation Laws: Mass, Momentum, Energy, Inviscid Flow: Euler Equations and Bernoulli, Viscous Flow: Boundary Layers, Skin Friction, Potential Flow: Circulation and Vorticity

Thin Airfoil Theory and Kutta-Joukowski Theorem, Lifting Line Theory and Induced Drag, Vortex Sheets and Panel Methods Basics

Isentropic Flow and Normal Shock Relations, Oblique Shocks and Expansion Waves, Nozzle Flows, Linearised Supersonic Flow

Measurement and Scaling: Similarity Parameters, Pressure and Flow Visualisation Techniques

Stress-Strain Relations and Mohr's Circle, Bending, Shear and Torsion, Failure Theories and Buckling of Columns

Torsion, Bending and Flexural Shear of Thin-Walled Sections, Shear Flow and Monocoque/Semi-Monocoque Structures, Elasticity: Airy's Stress Function

Free and Forced Vibration of Single and Multi-DOF Systems, Eigenvalue Analysis and Mode Shapes, Aeroelasticity: Divergence, Flutter Basics

Thrust Equation and Efficiency, Thermodynamic Cycles for Air-Breathing Engines

Compressors: Axial and Centrifugal, Combustion Chambers and Turbines, Turbojet, Turbofan, Turboprop Performance

Rocket Equation and staging, Solid and Liquid Propellant Systems, Nozzle Flow and Specific Impulse