Educational Blogs For Students

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...

GATE Electrical Engineering Syllabus Engineering Mathematics 1. Linear Algebra: Matrix Algebra, Systems of linear equations, Eigenvalues,  Eigenvectors.  2. Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite  and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals,  Fourier series, Vector identities, Directional derivatives, Line integral, Surface integral,  Volume integral, Stokes’s theorem, Gauss’s theorem, Divergence theorem, Green’s  theorem.  3. Differential equations: First order equations (linear and nonlinear), Higher order linear  differential equations with constant coefficients, Method of variation of parameters,  Cauchy’s equation, Euler’s equation, Initial and boundary value problems, Partial  Differential Equations, Method of separation of variables. 4. Complex variables: Analytic functions, Cauchy’s integral theorem, Cauchy’s integral  formula, Taylo...

  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...