King Fahd University of Petroleum & Minerals
Department of Mathematical Sciences
MATH 321  Introduction to Numerical Computing
Syllabus  FINAL GRADS 
2, 3, 4,  
2,  
2, 3, 4,  
MatlabAss#6 

MatlabAss#7 

MatlabAss#8 
Links
Numerical Analysis  Numerical Methods OnLine
Numerical Methods Lecture Notes: contents
Animations for Numerical Methods and Numerical Analysis
Numerical Methods with MATLAB: Implementations and Applications
Syllabus
King Fahd University of Petroleum and Minerals
Department of Mathematical Sciences
SYLLABUS
Semester II. 20052006 (052)
(Dr. AlHomidan, S.)
Course# 
: 
MATH 321 

Course Title 
: 
Introduction to Numerical Computing 

Textbook 
: 
Numerical Methods Using MATLAB by John H. Mathews and Kurtis D. Fink, 3^{rd} ed. 1999 

Instructor 
: 
Dr. Suliman S. AlHomidan (Office: 5427) 

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. 13Feb 22 
1.1 Review of Calculus 1.2 Binary Numbers 1.3 Error Analysis 


3 & 4 
Feb. 25March 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 NewtonRaphson and Secant Methods 


5 & 6 
March 11March 22 First exam 20 March

3.1 Introduction to Vectors and Matrices 3.2 Properties of Vectors and Matices 3.3 Uppertriangular Liner Systems 3.4 Gaussian Elimination and Pivoting 3.5 Triangular Fractorization 


7 & 8 
March 25April 5

4.1 Taylor Series and Calculation of Functions 4.2 Introduction to Interpolation 4.3 Lagrange Approximation 4.4 Newton Polynomials 



April 12 
Midterm Exam 


9 
April 8 April 12 
5.1 Leastsquares 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 Simpson’s Rule 


12 & 13 
April 29 May 10 Second exam 20 April 29

9.1 Introduction to Differential Equations 9.2 Euler’s Method 9.3 Heun’s Method 9.4Taylor Series Method 9.5 RungeKutta 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 OnLine
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
OnLine Numerical Methods
Numerical
Methods with MATLAB:
Implementations and Applications
http://www.me.pdx.edu/~gerry/nmm/course/