Gate 2022 : IIT Kharagpur Syllabus Electronics and Communications EC
GATE Syllabus Electronics and Communications ECE Engineering Mathematics 1. Linear Algebra: Vector space, basis, linear dependence and independence, matrix algebra, eigenvalues and eigenvectors, rank, solution of linear equations- existence and uniqueness. 2. Calculus: Mean value theorems, theorems of integral calculus, evaluation of definite and improper integrals, partial derivatives, maxima and minima, multiple integrals, line, surface and volume integrals, Taylor series. 3. Differential Equations: First order equations (linear and nonlinear), higher order linear differential equations, Cauchy's and Euler's equations, methods of solution using variation of parameters, complementary function and particular integral, partial differential equations, variable separable method, initial and boundary value problems. 4. Vector Analysis: Vectors in plane and space, vector operations, gradient, divergence and curl, Gauss...