King Fahd University of Petroleum and Minerals
Department of Mathematical Sciences
Course Syllabus
Instructor: Dr. AbdurRahim M. Farhat
Office: 5432
Phone : x2577
email: afarahat@kfupm.edu.sa
Course: Math 260
Title: Introduction to Differential Equations and Linear Algebra
Textbook: Differential Equations and Linear Algebra,
H. Edwards and D. Penny, Prentice Hall 2001.
Week 
Date 
Sec No. 
Description 
Suggested HW Problems 
Remarks 
1 
Feb. 1418 
1.1 
Differential Equations and Math Models 
7, 9, 10, 12, 15, 16, 25, 26 
Tue. Feb 17Last day for adding 
1.2 
Integrals and General and Particular Solutions 
2, 5, 6, 7, 9, 10 
2 
Feb. 2125 
1.4 
Separable Equations and Applications 
5, 13, 18, 20, 21, 27, 29, 31 
Tue. Feb. 24  Last day of dropping courses without permanent record 
1.5 
Linear First Order Equations 
11, 16,19, 21, 22, 25, 26, 28 
3 
Feb. 28 Mar. 03 
1.5 
Linear First Order Equations 
1.6 
Substitution Methods and Exact Equations 
1, 2, 4, 16, 20, 21, 23, 24, 30, 31, 35, 37, 38, 51, 53 
4 
Mar. 0610 
3.1 
Introduction to Linear Systems 
6, 8, 16, 20, 25, 29, 34 
3.2 
Matrices and Gauss Elimination 
12, 13, 17, 18, 22, 25, 27 
5 
Mar. 1317 
3.3 
Reduced RowEchelon Matrices 
9, 14, 15, (12, 13, 17, 18 of section 3.3), 32, 35, 36 
3.4 
Matrix Operations 
4, 6, 7, 14, 19, 20, 31, 32, 39 
6 
Mar. 2024 
3.5 
Inverses of Matrices 
6, 14, 21, 27, 30, 32, 34, 36 
3.6 
Determinants 
4, 11, 18, 32, 35, 52 
Monday March 29: Major Exam 1 (Chapter 1 and 3) 
7 
Mar. 2731 
4.1 
The Vector Space R^{3} 
12, 18, 20, 27, 32 
Tue. Mar. .30  Last day for dropping courses with grade of "W" 
4.2 
The Vector Space and Subspaces R^{n} 
2, 4, 6, 13, 16, 17, 19, 23, 26, 27 
8 
Apr. 0307 
4.3 
Linear Combinations and Independence 
12, 14, 18, 19 
4.4 
Bases and Dimension for Vector Spaces 
2, 3, 8, 13, 17, 20 
9 
Apr. 1014 
5.1 
Second Order Linear Equations 
5, 12, 18, 24, 25, 33, 39, 40, 43, 45 
5.2 
General Solutions of Linear Equations 
4, 9, 10, 15, 18, 24, 25, 26 
10 
Apr. 1721 
5.3 
Homogeneous Equations with Constant Coeff 
5, 6, 10, 14, 16, 25, 31, 38, 40, 42 
Tue. Apr.. 20  last day for withdrawal from all courses with grade of "W" 
5.5 
Undetermined Coefficients 
4, 5, 10, 18, 25, 28, 33, 37, 53, 57, 59 
11 
Apr. 2428 
5.5 
Variations of Parameters 

6.1 
Introduction to Eigenvalues 
10, 21, 24, 28, 34 
Saturday May 1: Major Exam 2 (Chapter 4 and 5) 
12 
May 0105 
6.2 
Diagonalization of Matrices 
Skipped 
6.3 
Applications involving Powers of Matrices 
Skipped 
13 
May 0812 
7.1 
First Order Systems and Applications 
3, 4, 8, 9, 19 
7.2 
Matrices and Linear Systems 
10, 12, 17, 21, 26, 30 
14 
May 1519 
7.3 
The Eigenvalue Method for Linear systems 
7, 9, 12, 17, 22, 25 
Wed. May 19  Last day for withdrawal from all courses with grade of "WP/WF" 
7.5 
Multiple Eigenvalue Solutions 
1, 3, 7, 9, 23 
15 
May 2226 
7.5 
Multiple Eigenvalue Solutions 

Rules and Regulations
 No make ups.
 A grade of "DN" will be given if number of unexcused absences exceeds 8.
 Lateness will count as 1/3 of an absence.
 Student who come late for class are responsible to remind me at the end of the lecture to replace the absence mark to lateness.
 No homework will be collected for grading.
 Class will be notified when a section has been covered. Thereafter, it is the responsibility of the student to attempt the homework assignment by the following class meeting. Students will have a chance to ask about the solution of a homework problem. A quiz on the homework (or similar) problems might follow the end of answering questions on the homework problems.
Grade Distribution

First Major 20%

Second Major 20%

Final Exam 30%

Computer Assignments 8%

Quizzes 14%

Attendance 8%
TOTAL 100%
Computer Lab
Mathcad and Maple are mathematical software that are capable of doing symbolic as will as numeric computations. The software will be introduced and used in solving the computer assignments. Application of the software will include: different procedures for solving linear systems; symbolic manipulation of matrices including the computations of matrix inverse, transpose, and rowreduced echelon form. 