GATE Aerospace Engineering (AE)

Your linear algebra opens with vector algebra, so the borrowed vectors chapter is on your list beside the Linear Algebra chapter; it stops at rank and eigenvalues, so the vector-space chapter is not yours. Calculus runs from single-variable functions through partial derivatives to the Stokes, Gauss and Green theorems. Your Differential Equations heading names first-order linear ODEs, constant-coefficient higher-order ODEs, and the classification and separation-of-variables solution of the wave, Laplace and heat equations — the Euler-Cauchy and Laplace-transform sections of that chapter go beyond your list. The special topics name Fourier series, so read the first section of the Transforms chapter and stop there, since this paper names no transform; complex numbers, which are in the borrowed Mathematics foundations; and analytic functions with the Cauchy-Riemann equations, the first section of the Complex Variables chapter — contour integrals and residues are not named. One honest gap: three numerical-methods items your syllabus names — basic numerical differentiation, linear regression with the least-squares method, and linear interpolation — have no teaching in the Numerical Methods chapter, which covers bisection, Newton-Raphson and the trapezoidal and Simpson rules. All four of this paper’s discipline sections are written too — Flight Mechanics and Space Dynamics, Aerodynamics, Structures, and Propulsion — so the whole AE paper is covered and the full 65-question paper is available in the mock.