5EC6.3 COMPUTER ORIENTED NUMERICAL & STATISTICAL METHODS

UNIT 1 : MATRIX COMPUTATION:

Algebra of matrix, Inverse of a matrix, Rank of a matrix, Matrix

inversion by Gauss elimination, Computer programs for matrix inversion.

UNIT 2 : SOLUTION OF LINEAR EQUATIONS:

Cramer’s rule, Gauss elimination, Gauss Jordan

elimination and Gauss Seidal iterative method and their implementation in C.

UNIT 3 : SOLUTION OF NON-LINEAR EQUATIONS:

Interval bisection method, Secant method, Regula-

Falsi method, Curve fitting, Method of least squares and their implementation in C.

UNIT 4 : SOLUTION OF DIFFERENTIAL EQUATIONS:

Euler’s method, Modified Euler’s method, Runge

Kutta method of fourth order, Solution of partial differential equation with special reference to heat

equation, Laplace equation and wave equation Milne’s and their implementation in C.

UNIT 5 : STATISTICAL METHODS:

Curve fitting methods – method of least squares, fitting a straight

line, parabola. Correlation and Linear regression.