King Fahd University of Petroleum and Minerals,
Department of Mathematics and Statistics
SYLLABUS
Semester II: 20072008(072)
(Instructor: Dr. Faisal Fairag)
Course #: 
MATH 202 

Title: 
Elements of Differential Equations 

Textbook: 
A First Course in Differential
Equations by D.G. Zill, 8^{th} Edition 



Week 
Date 
Sec. 
Topics 
Homework 
(CAS) 

1 
Feb 1622^{} 
1.1 1.2 
Definition and Terminology InitialValue Problems 
4, 7, 8, 9, 10, 13, 16, 20, 27, 28, 30 2, 12, 20,
22, 27 
(55)  

2 
Feb 2329 
2.2 2.3 
Separable Variables Linear Equations 
8, 14, 20,
22, 23, 27, 45 5,
13, 16, 18, 30, 37 
(ex 4) (5,9) 

3 
Mar 0107 
2.4 2.5 
Exact Equations Solutions by Substitutions 
2,
5, 8, 15, 25, 27, 29, 31, 42(a), 43, 44 4, 6, 10, 13, 18, 21, 26,
30 
 

EXAM I on 

4 
Mar 0814 
2.1 1.3 3.1 
Solution Curves (light coverage) Mathematical Models (reading): Growth and Decay, Linear Models 
1,21,24 See Sec. # 3.1 3, 6, 13, 14,
15, 19, 20, 21, 23 
(5,7)  

5 
Mar 1521 
4.1 4.1.1 4.1.2 
Linear Equations: Basic
Theory InitialValue and
BoundaryValue Homogeneous Equations 
3, 10, 12, 13 15, 21, 23,
28 
  

EXAM II: 

6 
Mar 2228 
4.1.3 4.2 
Nonhomogeneous Equations Reduction of Order 
33, 36, 37(b,e) 1, 3, 12, 14,
19 
  

7 
Mar 29 Apr 04 
4.3 4.5 
Homogeneous Linear
Equations with Constant Coefficients Undetermined Coefficients
– Annihilator Approach 
4, 9, 12, 15,
20, 34, 40, 49, 50, 51 8, 13, 22,
24, 34, 41, 48, 64, 67, 73 
(57)  

8 
Apr 0511 
4.6 4.7 
Variation of Parameters CauchyEuler Equation (Both Methods) 
6, 11, 13,
24, 25, 28 3, 5, 10, 11,
14, 16, 19, 31, 34, 37, 39 
 (44) 

Break J Break
J Break
J Break


9 
Apr 1925 
6.1 6.1.1 6.1.2 
Solutions About Ordinary
Points Review of Power Series Power Series Solutions 
1, 10, 11 15, 17, 20,
22, 32 
  

10 
Apr 26May 02 
6.2 
Solutions about Singular
Points^{Ó} 
3, 10, 13,
14, 19, 20, 27 
(ex 5) 

EXAM III: 

11 
May 0309 
App II 
Matrices and Linear
Systems (review) The Eigenvalue
Problem 
14, 15, 19,
23, 27, 29, 31, 33, 39, 43 47, 49, 52,
53, 55 
  

12 
May 1016 
8.1 8.2 
Preliminary Theory Homogeneous Linear Systems

4, 5, 8, 14,
15, 17, 23, 25 
 

13 
May 1723 
8.2.1 8.2.2 8.2.3 
Distinct Real Eigenvalues Repeated Eigenvalues Complex Eigenvalues 
3, 7, 10, 13 19, 21, 23,
25, 27 33, 34, 36,
39, 41, 45 
(ex 2)   

14 
May 2430 
8.3 8.3.2 8.4 
Nonhomogeneous Linear Systems Variation of Parameters Matrix Exponential 
11, 12, 23,
32 1, 5, 9, 2,
6, 4, 8 
(35 (a,b)) (27(a)) 

15 
May 31June06 
Pace Adjustment, Review 










J J J