King Fahd University of Petroleum and Minerals
Department of Mathematical Sciences
Semester II, 2002-2003 (022)
(Instructor: Dr. Mohamed A. El-Gebeily)
Course #: |
Math 202.12 |
Title: |
Elements of Differential Equations |
Textbook: |
A First Course in Differential Equations by D.G. Zill, 7th Edition. |
Wk |
Date |
Sec. |
Material |
Homework |
1 |
Feb.23-26 |
1.1 1.2 |
Definitions and Terminology Initial Value Problems |
4,8,14,20,24 2,4,8,16,18,22 |
2 |
March 1-5 |
2.2 2.3 |
Separable Variables Linear Equations |
6,14,22,24,44 2,5,10,17,30 |
3 |
March 8-12 |
2.4 2.5 3.1 |
Exact Equations-Integrating Factors Solutions by Substitutions Linear Equations (Modeling) |
2,5,9,15,25,34,42,43 6,8,13,21,26,30 5,8,13,20,21,23,27 |
4 |
March 15-19 |
4.1.1 4.1.2 |
Initial and Boundary Value Problems Homogeneous Equations |
5,8,11,12 16,19,23, 24,25,28,29 |
5 |
March 22-26 |
4.1.3 4.2 |
Nonhomogeneous Equations Reduction of Order |
33,36,38 3,5,12,13,14,18,19 |
6 |
March 29-April 2 |
4.3
4.5 |
Homogeneous Linear Equations with Constant Coefficients Annihilator Approach |
12,20,35,40,51
3,10,12,24,30,54,62 |
7 |
April 5-9 |
4.6 4.7 |
Variation of Parameters Cauchy-Euler Equations |
11,13,17,27 8,12,25,37,38 |
8 |
April 12-16 |
6.1 6.1.1 |
Solutions about Ordinary Points Review of Power Series |
1,5,10,12 |
9 |
April 19-23 |
6.1.2
|
Solutions about Ordinary Points |
13,16,18,28 |
10 |
April 26-30 |
6.2
|
Solutions about Singular Points |
3,9,14,19,25 |
11 |
May 3-7 |
A.II.2 A.II.3 |
Gauss Elimination Eigenvalue Problem |
31,34,38 47,48,49,50 |
12 |
May 10-14 |
8.1 8.2 |
Preliminary Theory Homogeneous Linear Systems with Constant coefficients |
1,4,10,15,24. |
13 |
May 17-21 |
8.2.1 8.2.2 |
Distinct Real Eigenvalues Repeated Eigenvalues (m=2,3) |
3,6,11,13 19,21,26,28 |
14 |
May 24-28 |
8.2.3 8.3 |
Complex Eigenvalues Variation of Parameters (Optional) |
33,38,42,44 1,3,8,13,18 |
15 |
May 31-June 4 |
|
8.3 Continued + Review |
|