M. Tech (Aerospace) Syllabus of GATE Exam

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Section1: Engineering Mathematics
Core Topics:
Linear Algebra: Vector algebra, Matrix algebra, systems of linear equations, 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: First order linear and nonlinear differential equations, higher order
linear ODEs with constant coefficients. Partial differential equations and separation of
variables methods.

Special Topics:
Fourier Series, Laplace Transforms, Numerical methods for linear and nonlinear algebraic
equations, Numerical integration and differentiation.

Section 2: Flight Mechanics
Core Topics:
Basics: Atmosphere: Properties, standard atmosphere. Classification of aircraft. Airplane
(fixed wing aircraft) configuration and various parts;

Airplane performance: Pressure altitude; equivalent, calibrated, indicated air speeds;

Primary flight instruments: Altimeter, ASI, VSI, Turn-bank indicator. Drag polar; takeoff
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 winds;

Static stability: 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;

Special Topics:

Dynamic stability: Euler angles; Equations of motion; aerodynamic forces and moments,
stability & control derivatives; decoupling of longitudinal and lateral-directional
dynamics; longitudinal modes; lateral-directional modes.
Section 3: Space Dynamics
Core Topics:
Central force motion, determination of trajectory and orbital period in simple cases

Special Topics:
Orbit transfer, in-plane and out-of-plane

Section 4: Aerodynamics

Core Topics:
Basic Fluid Mechanics: Conservation laws: Mass, moment

M. Tech (Aerospace) Syllabus of GATE Exam