GATE 2022 : IIT Kharagpur Mechanical Engineering Syllabus (ME)
GATE Mechanical Engineering Syllabus (ME) Engineering Mathematics 1. Linear Algebra : Matrix algebra, systems of linear equations, eigenvalues and eigenvectors. 2. Calculus: Functions of single variable, limit, continuity and differentiability, mean value theorems, indeterminate forms; evaluation of definite and improper integrals; double and triple integrals; partial derivatives, total derivative, Taylor series (in one and two variables), maxima and minima, Fourier series; gradient, divergence and curl, vector identities, directional derivatives, line, surface and volume integrals, applications of Gauss, Stokes and Green’s theorems. 3. Differential equations: First order equations (linear and nonlinear); higher order linear differential equations with constant coefficients; Euler-Cauchy equation; initial and boundary value problems; Laplace transforms; solutions of heat, wave and Laplace's equations. 4. Complex variables : Analyt...