Computer Oriented Numerical and Statistical Lab

Paper Code: 
MCA 428
Credits: 
4
Periods/week: 
4
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: 

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: 
2015-16
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