College of Science

Courses

Numerical Analysis

Course Code C0161 Th 4 Pr 4 CrHrs 3

The course will develop numerical methods aided by technology to solve algebraic, transcendental, and differential equations, and to calculate derivatives and integrals. The course will also develop an understanding of the elements of error analysis for numerical methods and certain proofs. The course will further develop problem solving skills.

The purpose of this course is to present basic calculus concepts and show you how to deal with problems. In this way the development of the calculus comes about as a means of solving problems by using MATLAB laboratory

Distribution of Marks

Final Mark

Final Exam

Second Term

Mid-Year

First Term

100

Prac.

Theor.

Prac.

Theor.

Prac.

Theor.

Prac.

Theor.

20

30

5

5

10

20

5

5

References

SN

George B. Thomas, Jr. " Calculus", International Edition 11'th, Addison-Wesley, 2005.

1

Ross L. Fenny and George B. Thomas, Jr. " Calculus", Addison-Wesley, 1990.

2

Frank E. Junior and Fillip Schmidt, "Collage Mathematics", Shum's Series, McGraw-Hill Inc. 1992, Academia International 2001.

3

Subject

Week

Chapter One Preliminaries(errors)

First

Chapter Two: Solving Nonlinear Equations

Interval Halving (Bisection),

Second

Linear Interpolation Methods

Third

Newton’s Method,

Fourth

Muller’s Method

Fifth

Chapter Three Solving Set of Equations

Matrices and Vectors, Elimination Methods

Sixth

Gaussian Elimination & Gauss Jordan, The invers of a matrix and matrix pathology

Seventh

Chapter Five: Approximation of Functions

Eighth

Taylor & Maclaurin Series

Ninth

Examples

Tenth

Neville’s Method

Eleventh

Divided Differences

Twelfth

Chapter Four: Interpolation & Curve Fitting

Thirteenth

Fitting a Polynomial to Data

Fourteenth

Lagrangian Polynomials

Fifteenth