Engineering Mathematics Topic wise Priority List for GATE Exam

Engineering Math Most Scoring Topic Lists for GATE Exam

Engineering Mathematics Syllabus for GATE Exam:

Linear Algebra: Matrix algebra, systems of linear equations, eigenvalues and
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.
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.
Complex variables: Analytic functions; Cauchy-Riemann equations; Cauchy’s
integral theorem and integral formula; Taylor and Laurent series.
Probability and Statistics: Definitions of probability, sampling theorems, conditional
probability; mean, median, mode and standard deviation; random variables,
binomial, Poisson and normal distributions.
Numerical Methods: Numerical solutions of linear and non-linear algebraic
equations; integration by trapezoidal and Simpson’s rules; single and multi-step
methods for differential equations.


List of Most Scoring Topics [Priority in decreasing Order]

1. Probability and Statistics
2. Eigen Values and Eigen Vectors
3. Differential Equation
4. Transform Theory
5. Numerical Method
6. Calculus, Gradient, Multiple integrals
7. Complex variables
8. Matrix Algebra
9. Fourier Series
10. Partial Derivatives