Matrix algebra, systems of linear equations, eigen values
and eigen vectors.
Functions of single variable, limit, continuity and
differentiability, mean value theorems, evaluation of
definite and improper integrals, partial derivatives, total
derivative, maxima and minima, gradient, divergence and
curl, vector identities, directional derivatives, line,
surface and volume integrals. Theorems of Stokes, Gauss and
First order linear and nonlinear equations, higher order
linear ODEs with constant coefficients, Cauchy and Euler
equations, initial and boundary value problems, Laplace
transforms. Partial differential equations and separation of
Numerical solution of linear and nonlinear algebraic
by trapezoidal and Simpson rule, single and multi-step
methods for differential equations.
Properties, standard atmosphere. Classification of aircraft.
Airplane (fixed wing aircraft) configuration and various
Pressure altitude; equivalent, calibrated, indicated air
speeds; Primary flight instruments: Altimeter, ASI, VSI,
Turn-bank indicator. Drag polar; take off and landing;
steady climb & descent,-absolute and service ceiling;
cruise, cruise climb, endurance or loiter; load factor,
turning flight, V-n diagram; Winds: head, tail & cross
Angle of attack, sideslip; roll, pitch & yaw controls;
longitudinal stick fixed & free stability, horizontal tail
position and size; directional stability, vertical tail
position and size; dihedral stability. Wing dihedral, sweep
& position; hinge moments, stick forces.
Euler angles; Equations of motion; aerodynamic forces and
moments, stability & control derivatives; decoupling of
longitudinal and lat-directional dynamics; longitudinal
modes; lateral-directional modes.
Central force motion, determination of trajectory and
orbital period in simple cases. Orbit transfer, in-plane and
out-of-plane. Elements of rocket motor performance.
Basic Fluid Mechanics:
Incompressible irrotational flow, Helmholtz and Kelvin
theorem, singularities and superposition, viscous flows,
boundary layer on a flat plate.
Airfoils and wings:
Classification of airfoils, aerodynamic characteristics,
high lift devices, Kutta Joukowski theorem; lift generation;
thin airfoil theory; wing theory; induced drag; qualitative
treatment of low aspect ratio wings.
Flow separation, introduction to turbulence, transition,
structure of a turbulent
Dynamics & Thermodynamics of I-D flow, isentropic flow,
oblique shock, Prandtl-Meyer flow, flow in nozzles and
diffusers, inviscid flow in a c-d nozzle, flow in diffusers.
subsonic and supersonic airfoils, compressibility effects on
lift and drag, critical and drag divergence Mach number,
Wind Tunnel Testing:
Measurement and visualization techniques.
Stress and Strain:
Equations of equilibrium, constitutive law,
compatibility equations, plane stress and strain, Airy's
Flight Vehicle Structures:
Characteristics of aircraft structures and materials, torsion,
bending and flexural shear. Flexural shear flow in
thin-walled sections. Buckling. Failure theories. Loads
Free and forced vibration of discrete systems. Damping and
Dynamics of continuous systems.
Thermodynamics of Aircraft Gas Turbine engines, thrust and
Axial compressors and turbines, centrifugal pumps and
Aerothermodynamics of non rotating propulsion components:
Intakes, combustor and nozzle. Thermodynamics of
ramjets and scramjets. Elements of rocket propulsion.