Engineering Mathematics (13M) — GATE Petroleum Engineering (PE)

Engineering Mathematics (13M) for GATE Petroleum Engineering (PE): all 6 topics, with study resources and previous year questions for each.

Topics in Engineering Mathematics (13M)

Linear Algebra (GATE CH, PE, PI) — Linear Algebra: Matrix algebra; Systems of linear equations; Eigenvalues and eigenvectors.
Calculus (GATE PE) — Calculus: Functions of single variable; Limit, continuity and differentiability; Taylor series; Mean value theorems; Evaluation of definite and improper integr…
Differential Equations (GATE PE) — Differential Equations: First order equations: linear and nonlinear; Higher order linear differential equations with constant coefficients; Cauchy’s and Euler’…
Complex Variables (GATE PE) — Complex Variables: Complex number; Polar form of complex number; Triangle inequality.
Probability and Statistics (GATE PE) — Probability and Statistics: Definitions of probability and sampling theorems; Conditional probability; Mean, median, mode and standard deviation; Random variab…
Numerical Methods (GATE PE) — Numerical Methods: Numerical solutions of linear and non-linear algebraic equations; Integration by trapezoidal and Simpson’s rule; Single and multi-step metho…