UNIVERSITY OF SARGODHA

COURSE OUTLINE                                                                                                      Fall  2020

Course Tittle: NUMARICAL ANALYSIS-1

Course Code: MATH-401

Credit Hours: 03

Instructor: FARYAL ANJUM

Email: [email protected]

DESCRIPTION & OBJECTIVES

This course is designed to teach the students about numerical methods and their theoretical bases. The course aims

at inculcating in the students the skill to apply various techniques in numerical analysis, understand and do calculations about errors that can occur in numerical methods and understand and be able to use the basics of matrix analysis.

READINGS

Recommended book

1. Gerald C.F. and Wheatley P.O., Applied Numerical Analysis, Pearson Education, Singapore, 2005.

2. Burden R. L. and Faires J. D.: Numerical Analysis, latest edition, PWS Pub. Co.

3. Mathews J.H., Numerical Methods for Mathematics, latest Edition, Prentice Hall International.

4. Chapra S. C. and Canale R. P.: Numerical Methods for Engineers, 6th edition, McGraw Hill.

5. Sankara K. Numerical Methods for Scientists and Engineers. 2nd ed. New Delhi: Prentice Hall, 2005

CONTENTS

Floating point arithmetic, approximations and errors. Bisection method, regula-falsi method, fixed point iteration method, Newton-Raphson method, secant method, error analysis for iterative methods. Direct methods: Gaussian elimination method for solving system of equations, Gauss-Jordan method; matrix inversion; LU-factorization; Doolittle’s, Crout’s and Cholesky’s methods, Iterative methods: Jacobi, Gauss-Seidel and SOR. Introduction, Power Method, Jaccobi's Method. The use of software packages/ programming languages for above mentioned topics is recommended.

COURSE SCHEDULE

RESEARCH PROJECT

N/A

ASSESSMENT CRITERIA

Mid exam:       30

Sessional:        20

Project:            --

Assignments:   10

Presentation:   10

Final exam:      50

Total:               100

RULES AND REGULATIONS

75% attendance is compulsory to appear in Final Term exam.