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Graduate Aptitude Test In Engineering GATE the competitive exam which is conducted by top most 7 IIT and Indian institute of science Bangalore, this is a exam from which we can get placed in top most public sectors like NTPC,ONGC, Indian and also we can get admission for postgraduate degree,(M.tech) in the top most Engineering Colleges of India. Why is GATE exam for? As i mentioned, the purpose of GATE exam is to get admission in (Postgraduate) Masters Program of top most institute of India and GATE score is also accepted by the public sectors like NTPC, ONGC, BHEL, INDIAN OIL etc. 

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...

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...

Fully Revised GATE 2022 Computer Science | Information Technology CS-IT Syllabus