King Fahd University of Petroleum and Minerals
Department of Mathematical Sciences
Semester II, 20022003 (022)
(Instructor: Dr. Mohamed A. ElGebeily)
Course #: 
Math 202.12 
Title: 
Elements of Differential Equations 
Textbook: 
A First Course in Differential Equations by D.G. Zill, 7^{th} Edition. 
Wk 
Date 
Sec. 
Material 
Homework 
1 
Feb.2326 
1.1 1.2 
Definitions and Terminology Initial Value Problems 
4,8,14,20,24 2,4,8,16,18,22 
2 
March 15 
2.2 2.3 
Separable Variables Linear Equations 
6,14,22,24,44 2,5,10,17,30 
3 
March 812 
2.4 2.5 3.1 
Exact EquationsIntegrating 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 1519 
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 2226 
4.1.3 4.2 
Nonhomogeneous Equations Reduction of Order 
33,36,38 3,5,12,13,14,18,19 
6 
March 29April 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 59 
4.6 4.7 
Variation of Parameters CauchyEuler Equations 
11,13,17,27 8,12,25,37,38 
8 
April 1216 
6.1 6.1.1 
Solutions about Ordinary Points Review of Power Series 
1,5,10,12 
9 
April 1923 
6.1.2

Solutions about Ordinary Points 
13,16,18,28 
10 
April 2630 
6.2

Solutions about Singular Points 
3,9,14,19,25 
11 
May 37 
A.II.2 A.II.3 
Gauss Elimination Eigenvalue Problem 
31,34,38 47,48,49,50 
12 
May 1014 
8.1 8.2 
Preliminary Theory Homogeneous Linear Systems with Constant coefficients 
1,4,10,15,24. 
13 
May 1721 
8.2.1 8.2.2 
Distinct Real Eigenvalues Repeated Eigenvalues (m=2,3) 
3,6,11,13 19,21,26,28 
14 
May 2428 
8.2.3 8.3 
Complex Eigenvalues Variation of Parameters (Optional) 
33,38,42,44 1,3,8,13,18 
15 
May 31June 4 

8.3 Continued + Review 
