UNIVERSITY OF SARGODHA
DEPARTMENT OF MATHEMATICS
COURSE OUTLINE Fall 2020
Course Tittle: NUMARICAL ANALYSIS1
Course Code: MATH401
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, regulafalsi method, fixed point iteration method, NewtonRaphson method, secant method, error analysis for iterative methods. Direct methods: Gaussian elimination method for solving system of equations, GaussJordan method; matrix inversion; LUfactorization; Doolittle’s, Crout’s and Cholesky’s methods, Iterative methods: Jacobi, GaussSeidel and SOR. Introduction, Power Method, Jaccobi's Method. The use of software packages/ programming languages for above mentioned topics is recommended.
COURSE SCHEDULE
Week 
Topics and Readings 
Dates 
1. 
Floating point arithmetic 
Oct 12 16, 2020 
2. 
Approximations and errors 
Oct 19 23, 2020 
3. 
Bisection method 
Oct 26 30, 2020 
4. 
Regulafalsi method 
Nov 0206, 2020 
5. 
Fixed point iteration method 
Nov 09 13, 2020 
6. 
Newtonraphson method 
Nov 16 20, 2020 
7. 
Secant method 
Nov 23 27, 2020 
8. 
Error analysis for iterative methods 
Nov 30Dec04, 2020 
9. 
Gaussian elimination method for solving system of equation 
Dec 0711, 2020 
10. 
Mid Term Exam 
Dec 1418, 2020 
11. 
Gauss Jorden method,Power method 
Dec 2124, 2020 
12. 
Winter breaks 
Dec 25Jan10, 2021 
13. 
Matrix inversion,LU factorization 
Jan 1115, 2021 
14. 
Doolittle’s, Crout’s and Cholesky’s methods 
Jan 1822, 2021 
15. 
Iterative methods: Jacobi, 
Jan 2529, 2021 
16. 
GaussSeidel and SOR 
Jan 0105, 2021 
17. 
Final Term Exams 
Feb 0812, 2020 



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.