Numerical integration – Trapezoidal rule, Simpson’s 1/3rd and 3/8 Rule , Gauss-Legendre one point, two point and three point formulas.
Numerical solution of Ordinary Differential equations: Picard’s Method of successive approximations. Solution by Taylor’s series method – Single step methods-Euler’s Method-Euler’s modified method, Runge-Kutta (second and classical fourth order) Methods. Boundary values & Eigen value problems: Shooting method, Finite difference method and solving eigen values problems, power method