GATE 2022 : IIT Kharagpur Civil Engineering Syllabus CE
GATE Civil Engineering Syllabus CE Engineering Mathematics 1. Linear Algebra : Matrix algebra; Systems of linear equations; Eigen values and Eigen vectors. 2. Calculus : Functions of single variable; Limit, continuity and differentiability; Mean value theorems, 3. local maxima and minima ; Taylor series; Evaluation of definite and indefinite integrals, application of definite integral to obtain area and volume; Partial derivatives; Total derivative; Gradient, Divergence and Curl, Vector identities; Directional derivatives; Line, Surface and Volume integrals. Ordinary Differential Equation (ODE): First order (linear and non-linear) equations; higher order linear equations with constant coefficients; Euler-Cauchy equations; initial and boundary value problems. 3. Partial Differential Equation (PDE) : Fourier series; separation of variables; solutions of one- dimensional diffusion equation; first and second order one-dimensional wave eq...