Newton Raphson method –Iterative method of Gauss - Seidal – Matrix Inversion by Gauss – Jordan method – Eigen values of a matrix by power method.

Finite difference – Operators – Properties of operators – Relation between the operators –Interpolation with equal intervals – Newton’s forward and backward difference interpolation – Interpolation with unequal intervals – Lagrange’s and Newton’s divided difference interpolations.

Approximation of derivatives using interpolation polynomials –Differentiation using interpolation formulae – Numerical integration by Trapezoidal and Simpson’s 1/3rd and 3/8th rules –Double integrals using Trapezoidal and Simpson’s rules.

Single step methods: Taylor’s series method – Euler’s method – Modified Euler’s Method – Fourth order Runge-Kutta method for solving first order equations – Multi step methods: Milne’s predictor-corrector methods for solving first order equations.

Finite difference methods for solving two-point linear boundary value problems – Finite difference techniques for the solution of two dimensional Laplace’s and Poisson’s equations on rectangular domain – One dimensional wave equation by explicit method.