King Fahd University of Petroleum and Minerals
Department of
Mathematical Sciences
Semester II:
20052006(052)
(Coordinator: Dr. M.
Sarhan)
(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 1216*^{} 
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 1822 
2.1 2.2 
Solution Curves (light
coverage) Separable Variables 
1, 21, 24 8, 14, 20,
22, 23, 27, 45 
(5,7) (ex 4) 

3 
Feb 25Mar 01 
2.3 2.4 
Linear Equations Exact Equations 
5,
13, 16, 18, 30, 37 2,
5, 8, 15, 25, 27, 29, 31, 42(a), 43, 44 
(5,9)  

4 
Mar 0408 
2.5 1.3 3.1 
Solutions by Substitutions Mathematical Models (reading): Growth and Decay, Linear Models 
4, 6, 10,
13, 18, 21, 26, 30 See Sec. # 3.13, 6, 13,
14, 15, 19, 20, 21, 23 
  

5 
Mar 1115 
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 I on 

6 
Mar 1822 
4.1.3 4.2 
Nonhomogeneous Equations Reduction of Order 
33, 36, 37(b,e) 1, 3, 12,
14, 19 
  

7 
Mar 2529 
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)  

Midterm Break:
SatSun,


8 
Apr 0305 
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) 

9 
Apr 0812 
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 1519 
6.2 
Solutions about Singular
PointsÓ 
3, 10, 13,
14, 19, 20, 27 
(ex 5) 

EXAM II: 

11 
Apr 2226 
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 
Apr 29May 03 
8.1 8.2 
Preliminary Theory Homogeneous Linear Systems

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

13 
May 0610 
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 1317 
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 2024, + May 27** 
Pace Adjustment, Review 



*Thursday:
Ó Some statements about Bessel’s equation and Legendre’s equation should be included in the final remarks
about Series Solutions. See the introductory
paragraph of Section 6.3 in page 259.