Gate2025 syllabus
Section 1: Engineering MathematicsLinear Algebra: Matrix algebra, systems of linear equations, eigen values and eigen vectors.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, surfaceand volume integrals, applications of Gauss, Stokes and Green’s theorems.Differential Equations: First order equations (linear and nonlinear); higher order linear differentialequations with constant coefficients; Euler-Cauchy equation; initial and boundary value problems;Laplace transforms; solutions of heat, wave and Laplace's equations.Complex Variables: Analytic functions; Cauchy-Riemann equations; Cauchy’s integral theoremand integral formula; Taylor and Lauren...