Computer Oriented Numerical and Statistical Lab

Paper Code: 
MCA 428
Credits: 
04
Periods/week: 
04
Max. Marks: 
100.00
Objective: 
  • To help the students to gain an experience in the implementation of numerical methods using a computer.
  • To enable students to obtain an intuitive and working understanding of numerical methods for the basic problems of numerical analysis.
  • Students will be able to solve the complex problems of mathematics by using numerical techniques method.
Unit I: 
CONTENTS

Solution of Nonlinear equations – Bi-section method, False Position method, Newton Raphson method, Secant method.

Solutions of system of Linear equations- Gauss Elimination method and pivoting, Gauss Seidal Method.

Interpolation and approximation- : Langrange’s Interpolation, Newton’s forward and backward formula, Newton Divided difference formula.

Numerical Differentiation and Integration:- Trapezoidal rule( for tabulated function and known function ), Simpson’s rules( 1/3 rule  and 3/8 rule ).

Curve Fitting- Fitting a straight line, Fitting a Polynomial, Fitting an exponential curves.

Solution of differential equations – Runge-Kutta method (second order and fourth order), Predictor-corrector method.

 

Academic Year: 
2017-18
  • Printer-friendly version