GATE Engineering Mathematics – Previous Year Questions by Topic
GATE Engineering Mathematics (Aerospace Engineering) previous year questions, topic by topic: Linear Algebra: Vector algebra, matrix algebra, systems of linear equations, rank, eigenvalues and eigenvectors, Calculus: Limits, continuity, differentiability, chain rule, maxima and minima, integration, Calculus: Functions of several variables, partial derivatives, gradient, divergence, curl and directional derivatives, Calculus: Line, surface and volume integrals, theorems of Stokes, Gauss and Green, Differential Equations: First order linear ODEs and higher order linear ODEs with constant coefficients, Differential Equations: Classification of PDEs, wave, Laplace and heat equations by separation of variables and more.
- Linear Algebra: Vector algebra, matrix algebra, systems of linear equations, rank, eigenvalues and eigenvectors
- Calculus: Limits, continuity, differentiability, chain rule, maxima and minima, integration
- Calculus: Functions of several variables, partial derivatives, gradient, divergence, curl and directional derivatives
- Calculus: Line, surface and volume integrals, theorems of Stokes, Gauss and Green
- Differential Equations: First order linear ODEs and higher order linear ODEs with constant coefficients
- Differential Equations: Classification of PDEs, wave, Laplace and heat equations by separation of variables
- Numerical Methods: Bisection and Newton-Raphson, numerical differentiation, trapezoidal and Simpson's rules
- Special topics: Fourier series, complex numbers, analytic functions and Cauchy-Riemann equations
- Special topics: Probability and statistics, Bayes theorem, mean, median, mode, variance, binomial, normal and Poisson distributions