King Fahd University of Petroleum and Minerals
Department of Mathematical Sciences
Syllabus Math 260 Second Edition (2005)
Semester 1, 20052006 (051)
(Coordinator: Dr. A. Shawky Ibrahim)
Course: Math 260 (Introduction to Differential Equations and Linear Algebra)
Text Book: Differential Equations and Linear Algebra, C. H. Edwards and D. E. Penny, Prentice
Hall, Second Edition (2005).
Objectives: This course introduces elementary differential equations and linear algebra to students of Computer Science, Computer Engineering, System Engineering and Earth Sciences.
Week 
Date 
Section 
Topic 
Suggested Homework 
1 
Sept 1014 
1.1 1.2 
Differential Equations & Mathematical Models Integrals as General & Particular Solutions 
2, 11, 20, 30, 32, 39 4, 6, 15, 18 
2 
Sept. 1721 
1.4 1.5 
Separable Equations & Applications Linear FirstOrder Equations 
1, 10, 24, 27, 33 
Saturday, September 24, 2005: National Holiday 

3 
Sept 2528 
1.5 1.6 
Linear FirstOrder Equations (contd.) Substitution Methods & Exact Equations 
4, 12, 24, 28, 32 2, 10, 22, 40, 60 
4 
Oct. 0105 
3.1 3.2 
Introduction to Linear Systems Matrices and Gaussian Elimination 
2, 22, 24, 26 4, 8, 14, 28 
5 
Oct 812 
3.3 3.4 
Reduced RowEchelon Matrices Matrix Operations 
3, 10, 24, 35 3, 10, 20, 24 
Saturday, October 15, 2005: Suggested Time for Exam I 

6 
Oct 1519 
3.5 3.6 
Inverse of Matrices Determinants 
4, 12, 20, 28 2, 4, 12, 30, 40, 43 
7 
Oct 2226 
4.1 4.2 
The Vector Space R^{3} The Vector Space R^{n} & Subspaces 
1, 6, 13, 16, 24, 26, 30 3, 8, 16, 19 
Thursday, October 27 to Friday, November 11, 2005: Id alFitr Vacation 

8 
Nov. 1216 
4.3 4.4 
Linear Combination & Independence of Vectors Bases & Dimension for Vector Spaces 
1, 6, 12, 17, 26 3, 8, 13, 16, 22 
9 
Nov. 1923 
5.1 5.2 
SecondOrder Linear Equations General Solutions of Linear Equations 
1, 11, 16, 19, 25, 28, 44 2, 8, 13, 24, 26 
10 
Nov 2630 
5.3
5.5 
Homogeneous Equations with Constant Coefficients Method of Undetermined Coefficients 
1, 4, 14, 22, 28, 33, 38
4, 12, 26, 32, 36 
Saturday, December 03, 2005: Suggested Time for Exam II 

11 
Dec 0307 
5.5 6.1 
Method of Variation of Parameters Introduction to Eigenvalues 
47, 52, 57, 60 2, 15, 24, 28, 36 
12 
Dec 1014 
6.2 6.3 
Diagonalization of Matrices Applications involving Powers of Matrices 
2, 14, 25, 28 2, 10, 20, 26, 36 
13 
Dec. 1721 
7.1 7.2 
FirstOrder Systems & Applications Matrices & Linear Systems 
2, 8, 13, 18, 21 2, 4, 12, 16, 20, 25 
14 
Dec 2428 
7.3 7.5 
The Eigenvalue Method for Linear Systems Multiple Eigenvalue Solutions 
4, 9, 18, 24, 26

15 
Dec 31Jan 04 
7.5 
Multiple Eigenvalue Solutions (contd.) Review 
4, 10, 16, 28, 30 
Thursday, January 5, 2005 to Friday, January 20, 2006: Id alAdha Vacation 
Saturday, January 21, 2006: Review (Last Class) 
Final Examinations Period from 22 to 31 of January, 2006 
The Dates of Exam I and Exam II are suggested by the College of Sciences to avoid any conflicts with other exams.  
The date of the final exam will be announced by the Registrar. The Final Exam is comprehensive.  
KFUPM policy with regard to attendance will be enforced.  
MATLAB will be used whenever possible. 
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