Sections 
Core Topics 
Special Topics 
Section1: Engineering Mathematics

Linear Algebra: Vector algebra, Matrix algebra, systems of linear equations, the rank of a matrix, eigenvalues, and eigenvectors.
Calculus: Functions of single variable, limits, continuity and differentiability, mean value theorem, chain rule, partial derivatives, maxima and minima, gradient, divergence and curl, directional derivatives. Integration, Line, surface, and volume integrals. Theorems of Stokes, Gauss, and Green.
Differential Equations: Firstorder linear and nonlinear differential equations, higher
order linear ODEs with constant coefficients. Partial differential equations and separation of variables methods.

Fourier Series, Laplace Transforms, Numerical methods for linear and
nonlinear algebraic equations, Numerical integration and differentiation. Complex
analysis. Probability and statistics.

Section 2: Flight Mechanics

Atmosphere: Properties, standard atmosphere. Classification of aircraft. Airplane (fixed wing aircraft) configuration and various parts. Pressure altitude; equivalent, calibrated,
indicated air speeds; Primary flight instruments: Altimeter, ASI, VSI, Turnbank
Indicator. The angle of attack, sideslip; Roll, pitch & yaw controls. Aerodynamic forces and moments.
Airplane performance: Drag polar; takeoff and landing; steady climb & descent;
absolute and service ceiling; range and endurance, load factor, turning flight, Vn
Diagram. Winds: head, tail & cross winds.
Static stability: Stability & control derivatives; longitudinal stick fixed & free stability; horizontal tail position and size; directional stability, vertical tail position, and size; lateral stability. Wing dihedral, sweep & position; hinge moments, stick forces.

Dynamic stability: Euler angles; Equations of motion; Decoupling of longitudinal and lateraldirectional dynamics; longitudinal modes; lateraldirectional modes.

Section 3: Space Dynamics

Central force motion, determination of trajectory, and orbital period in simple cases. Kepler’s laws; escape velocity.

No Special Topics

Section 4: Aerodynamics

Basic Fluid Mechanics: Conservation laws: Mass, momentum, and energy (Integral and differential form); Dimensional analysis and dynamic similarity;
Potential flow theory: sources, sinks, doublets, line vortex, and their superposition. Elementary ideas of viscous flows, including boundary layers.
Airfoils and wings: Airfoil nomenclature; Aerodynamic coefficients: lift, drag, and moment; Kutta Joukoswki theorem; Thin airfoil theory, Kutta condition, starting vortex; Finite wing theory: Induced drag, Prandtl lifting line theory; Critical and drag divergence Mach number.
Compressible Flows Basic concepts of compressibility, Onedimensional compressible flows, Isentropic flows, Fanno flow, Rayleigh flow; Normal and oblique shocks, PrandtlMeyer flow; Flow through nozzles and diffusers.

Wind Tunnel Testing: Measurement and visualization techniques. Shock – boundary
layer interaction

Section 5: Structures

Strength of Materials: Stress and strain: Threedimensional transformations, Mohr’s circle, principal stresses, Threedimensional Hooke’s law, Plane stress, and strain. Failure theories: Maximum stress, Tresca von Mises. Strain energy. Castigliano’s principles. Statically determinate and indeterminate trusses and beams. Elastic flexural buckling of columns.
Flight vehicle structures: Characteristics of aircraft structures and materials. Torsion, bending, and shear of thinwalled sections. Loads on aircraft.
Structural Dynamics: Free and forced vibrations of undamped and damped SDOF systems. Free
vibrations of undamped 2DOF systems.

The vibration of beams. Theory of elasticity: Equilibrium and compatibility equations,
Airy’s stress function.
Section

Section 6: Propulsion

Basics: Thermodynamics, boundary layers, heat transfer, combustion, and thermochemistry.
Aerothermodynamics of aircraft engines: Thrust, efficiency, range. Brayton cycle.
Engine performance: ramjet, turbojet, turbofan, turboprop, and turboshaft engines. Afterburners.
Turbomachinery: Axial compressors: Angular momentum, work, and compression, the characteristic
performance of a single axial compressor stage, the efficiency of the compressor and degree of reaction, multistaging.
Centrifugal compressor: Stage dynamics, inducer, impeller, and diffuser.
Axial turbines: Stage performance.
Rockets: Thrust equation and specific impulse, rocket performance. Multistaging. Chemical rockets. Performance of solid and liquid propellant rockets.

Aerothermodynamics of nonrotating propulsion components such as intakes, combustor, and nozzle. Turbine blade cooling. Compressorturbine matching, Surge, and stall.
