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. 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 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 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