GATE Engineering Mathematics – Previous Year Questions by Topic

GATE Engineering Mathematics (Civil Engineering) previous year questions, topic by topic: Linear Algebra: Matrix algebra, systems of linear equations, eigenvalues and eigenvectors, Calculus: Limits, continuity, mean value theorems, maxima and minima, Taylor series, Calculus: Integrals, partial and total derivatives, gradient, divergence, curl, line, surface and volume integrals, ODE: First order and higher order linear equations, Euler-Cauchy equations, initial and boundary value problems, PDE: Fourier series, separation of variables, diffusion, wave and Laplace equations, Probability and Statistics: Probability, conditional probability, descriptive statistics and more.

• Linear Algebra: Matrix algebra, systems of linear equations, eigenvalues and eigenvectors 14 questions
• Calculus: Limits, continuity, mean value theorems, maxima and minima, Taylor series 6 questions
• Calculus: Integrals, partial and total derivatives, gradient, divergence, curl, line, surface and volume integrals 7 questions
• ODE: First order and higher order linear equations, Euler-Cauchy equations, initial and boundary value problems 8 questions
• PDE: Fourier series, separation of variables, diffusion, wave and Laplace equations 8 questions
• Probability and Statistics: Probability, conditional probability, descriptive statistics 7 questions
• Probability and Statistics: Random variables, Poisson and Normal distributions, linear regression 3 questions
• Numerical Methods: Error analysis, algebraic equations, interpolation, differentiation, integration, ODEs 10 questions