Numerical Analysis — GATE Mathematics (MA)

Numerical Analysis for GATE Mathematics (MA): all 4 topics, with study resources and previous year questions for each.

Topics in Numerical Analysis

Systems of linear equations (GATE MA) — Systems of linear equations: Direct methods (Gaussian elimination, LU decomposition, Cholesky factorization), Iterative methods (Gauss-Seidel and Jacobi) and t…
Numerical solutions of nonlinear equations (GATE MA) — Numerical solutions of nonlinear equations: bisection method, secant method, Newton-Raphson method, fixed point iteration;
Interpolation (GATE MA) — Interpolation: Lagrange and Newton forms of interpolating polynomial, Error in polynomial interpolation of a function;
Numerical differentiation and error, Numerical integration (GATE MA) — Numerical differentiation and error, Numerical integration: Trapezoidal and Simpson rules, Newton-Cotes integration formulas, composite rules, mathematical err…