Gate 2018 Syllabus for Aerospace Engineering (AE)

Gate 2018 Syllabus for Aerospace Engineering (AE)

ENGINEERING MATHEMATICS

Linear Algebra: Matrix Algebra, Systems Of Linear Equations, Eigen Values And Eigen Vectors.

Calculus: 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 Green

Differential Equations: 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 Variables Methods.

Numerical Methods: Numerical Solution Of Linear And Nonlinear Algebraic Equations, Integration By Trapezoidal And Simpson Rule, Single And Multi-Step Methods For Differential Equations.

                                         FLIGHT MECHANICS 

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; 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 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

Dynamic Stability: Euler Angles; Equations of Motion; Aerodynamic Forces And Moments, Stability & Control Derivatives; Decoupling Of Longitudinal And Lat-Directional Dynamics; Longitudinal Modes; Lateral-Directional Modes.

                                         SPACE DYNAMICS 

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

                                          AERODYNAMICS 

Basic Fluid Mechanics: Incompressible Irrotational Flow, Helmholtz And Kelvin Theorem, Singularities And Superposition, Viscous Flows, Boundary Layer On A Flat Plate.