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Computer Oriented Numerical and Statistical Lab [1]

Paper Code: 
MCA 428
Credits: 
04
Periods/week: 
04
Max. Marks: 
100.00
Objective: 

Objective of the Laboratory:

  • 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: 
2016-17 [2]

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Source URL: https://csit.iisuniv.ac.in/courses/subjects/computer-oriented-numerical-and-statistical-lab-3

Links:
[1] https://csit.iisuniv.ac.in/courses/subjects/computer-oriented-numerical-and-statistical-lab-3
[2] https://csit.iisuniv.ac.in/academic-year/2016-17