1. Math-254
Numerical Methods

2. Recommended Textbook: Introduction To Numerical Analysis Using MATLAB
Author: Dr. Rizwan Butt
Department of Mathematics
College of Science
King Saud University
P. O. Box 2455
Riyadh, 11451, Saudi Arabia.
Publisher: Infinity Science Press (USA)
ISBN:
Year of Published: October, 2007
Reference Textbook:
Numerical Analysis (Seventh Edition)
Authors: Richard L. Burden and J. Douglas Faires

3. Examinations Schedule:
Two midterm examinations and the final examination
First Midterm Examination marks After six weeks
Second Midterm Examination marks After thirteen weeks
Final Examination marks After fifteen weeks
About 10 marks:
1- Computer Assignments marks
2- Two Quizzes marks
3- Exercises marks

4. Topics for the Course Chapter 1 Number Systems and Error (1 lecture)
Chapter Solutions of Nonlinear Equations (13 lectures)
Chapter Systems of Linear Equations (13 lectures)
Chapter Approximating Functions (7 lectures)
Chapter Differentiation and Integration (7 lectures)
Chapter Ordinary Differential Equations (4 lectures)

5. Means of Solving Problems
Analytical
Methods
Graphical Methods
Numerical
Methods
Exact Solution
Approximate Solution

6. What is Numerical Analysis ?
1- Numerical analysis can be defined as the development and
implementation of techniques to find numerical solutions to
mathematical problems.
2- It is an increasingly important link between pure mathematics
and its application in science and technology.
3- With the accessibility of computers, it is possible now to get
rapid and accurate solutions to many complex problems that
give difficulties to the mathematician, engineer and scientist.
4. Frequently, numerical analysis is called the mathematics of
scientific computing.

9. Types of Numerical Methods
Direct
Methods
Iterative
Methods
Need finite number of steps.
No need for initial approximation.
Good for small problems.
Chance of getting exact information about problems.
Need infinite number of steps.
Need for initial approximation.
Good for large problems.
No chance of getting exact information about problems.

12. Practical Justification Through
MATLAB
1- In our lectures, practical justification of the methods is presented through computer examples through the use of MATLAB.
2- In recent years, the number of MATLAB users has dramatically increased.
3- The surge of popularity in MATLAB is related to the increasing popularity of UNIX and computer graphics.
4- To what extend numerical computations in the future will be programmed in MATLAB is uncertain.