5EC6.3 COMPUTER ORIENTED NUMERICAL & STATISTICAL METHODS
  Units    Contents of the subjects
I
MATRIX COMPUTATION: Algebra of matrix, Inverse of a matrix, Rank of a matrix, Matrix inversion by Gauss elimination, Computer programs for matrix inversion.
II

SOLUTION OF LINEAR EQUATIONS:-Cramer’s rule, Gauss elimination, Gauss Jordan elimination and Gauss Seidal iterative method and their implementation in C.
III
SOLUTION OF NON-LINEAR EQUATIONS:- Interval bisection method, Secant method, Regula- Falsi method, Curve fitting, Method of least squares and their implementation in C.
IV
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.
V
STATISTICAL METHODS:- Curve fitting methods – method of least squares, fitting a straight line, parabola. Correlation and Linear regression.
Text/References:
• Numerical methods for Scientific and Engineering Computation by M.K.Jain,
S.R.K.Iyengar, R.K. Jain.
• Elementary Numerical Analysis by Samuel D.Conte and Cart de Boor, McGraw Hill
International Edition.
• Numerical methods for Science and Engineering, PHI by R.G.Stanton
• Computer based numerical algorithms by E.V. Krishnamoorthy
• Introduction to Numerical Analysis by E. Atkinson