King Fahd University of Petroleum & Minerals

Department of Mathematical Sciences

MATH 321 - HomePage

MATH 321 - Introduction to Numerical Computing     

Syllabus FINAL GRADS

Assignments #1   

 Solution Ass #1   

 Matlab Ass#1Solution 

2,  3,    4,

Assignments #2   

 Solution Ass #2   

 Matlab Ass#2 Solution

2,

Assignments #3   

 Solution Ass #3   

 Matlab Ass#3 Solution

2,  3,  4,

Assignments #4   

 Solution Ass #4   

 MatlabAss#4

 

Assignments #5   

 Solution Ass #5   

 MatlabAss#5

 

Assignments #6   

 Solution Ass #6   

 MatlabAss#6

 

Assignments #7   

 Solution Ass #7   

 MatlabAss#7

 

Assignments #8   

 Solution Ass #8   

 MatlabAss#8

 

Links

Numerical Analysis - Numerical Methods On-Line

Numerical Methods Lecture Notes: contents

Animations for Numerical Methods   and  Numerical Analysis

On-Line- Numerical Methods  

Numerical Methods with MATLAB: Implementations and Applications

 

Syllabus

King Fahd University of Petroleum and Minerals

Department of Mathematical Sciences

SYLLABUS

Semester II. 2005-2006 (052)

(Dr. Al-Homidan, S.)

Course#

:

MATH 321

Course Title

:

Introduction to Numerical Computing

Textbook

:

Numerical Methods Using MATLAB by John H. Mathews and Kurtis D. Fink, 3rd ed. 1999

Instructor

:

Dr. Suliman S. Al-Homidan (Office: 5-427)

Course Objective

:

Math 321 is designed for students of science and engineering to acquaint them with the potentialities of the modern computer for solving the numerical problems that will arise in their professions. It will give the students an opportunity to improve their skills in programming and in problem solving.

Week No.

Date

Subject

 

1 & 2

Feb. 13-Feb 22

1.1 Review of Calculus

1.2 Binary Numbers

1.3 Error Analysis

 

3 & 4

Feb. 25-March 8

2.1 Iteration for Solving x=g(x)

2.2 Bracketing Methods for Locating a Root

2.3 Initial Approximation and Convergence Criteria

2.4 Newton-Raphson and Secant Methods

 

5 & 6

March 11-March 22

First exam

20 March

 

3.1 Introduction to Vectors and Matrices

3.2 Properties of Vectors and Matices

3.3 Upper-triangular Liner Systems

3.4 Gaussian Elimination and Pivoting

3.5 Triangular Fractorization

 

7 & 8

March 25-April 5

 

4.1 Taylor Series and Calculation of Functions

4.2 Introduction to Interpolation

4.3 Lagrange Approximation

4.4 Newton Polynomials

 

 

April 1-2

Midterm Exam

 

9

April 8- April 12

5.1 Least-squares Line

5.2 Curve Fitting

 

10

April 15- April 19

6.1 Approximating The Derivative

6.2 Numerical Differentiation Formulas

 

11

April 22- April 26

7.1 Introduction to Quadrature

7.2 Composite Trapezoidal and Simpsonís Rule

 

12 & 13

April 29- May 10

Second exam

20 April 29

 

9.1 Introduction to Differential Equations

9.2 Eulerís Method

9.3 Heunís Method

9.4Taylor Series Method

9.5 Runge-Kutta Methods

 

14

May 13- May 17

10.1 Hyperbolic Equations

10.2 Parabolic Equations

10.3 Elliptic Equations

 

15

May 20- May 27

11.1 Homogeneous Systems: The Eigenvalue Problem

11.2 Power Method

 

           

Homework and computer assignments will be distributed for each section.

Examinations:

i) 2 Midterm exams                   40%    

ii) Final Exam                            35%     Comprehensive

iii) Computer assignments          15%

iv) Homework                           10%

v) Attendance                           0%

 

Numerical Analysis - Numerical Methods On-Line

 

http://math.fullerton.edu/mathews/n2003/NumericalUndergradMod.html

 

Numerical Methods Lecture Notes: contents

 

 

http://www.damtp.cam.ac.uk/user/fdl/people/sd/lectures/nummeth98/contents.htm

 

Animations for Numerical Methods   and

Numerical Analysis

http://math.fullerton.edu/mathews/a2001/Animations/Animations.html

 

On-Line- Numerical Methods

 

http://mn.fe.up.pt

 

 

Numerical Methods with MATLAB:
Implementations and Applications

 

http://www.me.pdx.edu/~gerry/nmm/course/