GATE2027 syllabus
GATE 2027 ECE — Complete Syllabus Section 1: Engineering Mathematics Linear Algebra: Vector space, basis, linear dependence and independence, matrix algebra, eigenvalues and eigenvectors, rank, solution of linear equations, existence and uniqueness. Calculus: Mean value theorems, integral calculus, definite and improper integrals, partial derivatives, maxima and minima, multiple integrals, line/surface/volume integrals, Taylor series. Differential Equations: Linear differential equations, Euler-Cauchy equation, nonhomogeneous equations, variation of parameters, complementary function, particular integral, partial differential equations, variable separable method, initial and boundary value problems. Vector Analysis: Vectors in plane and space, vector operations, gradient, divergence, curl, Gauss's theorem, Green's theorem, Stokes' theorem. Complex Analysis: Analytic functions, Cauchy's integral theorem, Cauchy's integral formula, sequences and series, conve...