GATE Engineering Mathematics – Previous Year Questions by Topic
GATE Engineering Mathematics (Mechanical Engineering) previous year questions, topic by topic: Linear Algebra: Matrix algebra, systems of linear equations, eigen values and eigen vectors, Calculus: Limit, continuity, differentiability, mean value theorems and indeterminate forms, Calculus: Definite and improper integrals, double and triple integrals, Calculus: Partial derivatives, Taylor series, maxima and minima, Fourier series, Calculus: Gradient, divergence, curl, vector identities, line, surface and volume integrals, Differential Equations: First order and higher order linear equations, Euler-Cauchy equation and more.
- Linear Algebra: Matrix algebra, systems of linear equations, eigen values and eigen vectors
- Calculus: Limit, continuity, differentiability, mean value theorems and indeterminate forms
- Calculus: Definite and improper integrals, double and triple integrals
- Calculus: Partial derivatives, Taylor series, maxima and minima, Fourier series
- Calculus: Gradient, divergence, curl, vector identities, line, surface and volume integrals
- Differential Equations: First order and higher order linear equations, Euler-Cauchy equation
- Differential Equations: Initial and boundary value problems, Laplace transforms
- Differential Equations: Heat, wave and Laplace equations
- Complex Variables: Analytic functions, Cauchy-Riemann equations, integral theorem, Taylor and Laurent series
- Probability and Statistics: Probability, conditional probability, sampling theorems
- Probability and Statistics: Mean, median, mode, standard deviation, random variables and distributions
- Numerical Methods: Algebraic equations, integration by trapezoidal and Simpson rules, ODE methods