King Fahd University
of Petroleum and Minerals
Department of Mathematical Sciences
MATH 513 Mathematical Methods for Engineers
Semester II, 2003-2004 (032)
Dr. F. D. Zaman
Text Book: J.W. Brown and R.V.Churchil, Fourier Series and Boundary Value Problem
(McGraw-Hill Sixth Edition 2001).
Additional
P.V.O'Neil, Advanced Engineering Mathematics (Thomson Brooks)
Objectives: This course is designed to introduce basic methods in Linear Algebra and Partial Differential Equations to students of engineering and science.
|
Week |
Date |
Chapter |
Topic |
|
1 - 2 |
Feb. 14 25 |
1 |
Partial Differential Equations of Mathematical Physics Outline of Method of Separation of Variables |
|
3 |
Feb.28Mar 3 |
3 |
Orthonormal Sets and Fourier Seies |
|
4 |
Feb. 6 10 |
4 |
Convergence of Fourier Series |
|
5 |
Mar. 13 17 |
6 |
Sturm Liouvilles Problems |
|
6 |
Mar. 20 24 |
5 |
Boundary Value Problems |
|
7 |
Mar. 27 31 |
6 |
Fourier Integrals |
|
8 |
Apr. 3 7 |
7 |
Fourier Integrals - Applications |
|
9 |
Apr. 10 14 |
- |
|
|
10 |
Apr. 17 21 |
- |
Solutions of PDES using Laplace Transform |
|
11 |
Apr. 24 28 |
8 |
Special Functions, Bessel Function |
|
12 |
May 1 5 |
9 |
Legendre Polynomials, Applications |
|
13 |
May 8 12 |
- |
Diagonalization of Matrices Applications involving Powers of Matrices |
|
14 |
May 15 19 |
- |
First-Order Systems & Applications Matrices & Linear Systems |
|
15 |
May 22 26 |
- |
Review / Catch up |
Office: 5 - 430 Phone 2189
Email: fzaman@kfupm.edu.sa
|
Major # 1 |
25 % |
|
Major # 2 |
25 % |
|
Assignments/Attendance |
15 % |
|
Final |
35 % |
Evaluation Scheme