King Fahd University of Petroleum and Minerals

Department of Mathematics & Statistics

Syllabus Math 260

Semester II, 2008-2009 (082)

Instructor: Dr. Faisal Abdul-Karim Fairag

Coordinator: Dr. Assane Lo

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

## Topic

Suggested

Homework

1

Feb 20-Feb 24

1.1

1.2

Differential Equations & Mathematical Models

Integrals as General & Particular Solutions

2, 12, 22, 30, 36, 40

4, 6, 15, 18

2

Feb 27-Mar 03

1.4

1.5

Separable Equations & Applications

Linear First-Order Equations

1, 10, 24, 27, 33

3

Mar 06-10

1.5

1.6

Linear First-Order Equations (contd.)

Substitution Methods & Exact Equations

4, 12, 24, 28, 32

2, 10, 22, 40, 60

4

Mar 13-17

3.1

3.2

Introduction to Linear Systems

Matrices and Gaussian Elimination

2, 22, 24, 26

4, 8, 14, 28

# "A+"Tuesday March 31, 2009: Exam I,  6:15 PM  "A+"

5

Mar 20-24

3.3

3.4

Reduced Row-Echelon Matrices

Matrix Operations

3, 10, 24, 35

3, 10, 20, 24

6

Mar 27-31

3.5

3.6

Inverse of Matrices

Determinants

4, 12, 20, 28

2, 4, 12, 30, 40, 43

7

Apr 03- 07

4.1

4.2

The Vector Space R3

The Vector Space Rn & Subspaces

1, 6, 13, 16, 24, 26, 30

3, 8, 16, 19

8

Apr 10-14

4.3

4.4

Linear Combination & Independence of Vectors

Bases & Dimension for Vector Spaces

1, 6, 12, 17, 26

3, 8, 13, 16, 22

# J Midterm Vacation: April 25-May 1st, 2009J

9

Apr 17-21

5.1

5.2

Second-Order Linear Equations

General Solutions of Linear Equations

1, 11, 16, 19, 25, 28, 44

2, 8, 13, 24, 26

"A+"   Tuesday, May 19, 2009: Exam II,   6:15PM   "A+"

10

Apr 24-28

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

11

May 01-05

5.5

6.1

Method of Variation of  Parameters

Introduction to Eigenvalues

47, 52, 57, 60

2, 15, 24, 28, 36

12

May 08-12

6.2

6.3

Diagonalization of Matrices

Applications involving Powers of Matrices

2, 14, 25, 28

2, 10, 20, 26, 36

13

May 15-19

7.1

7.2

First-Order Systems & Applications

Matrices & Linear Systems

2, 8, 13, 18, 21

2, 4, 12, 16, 20, 25

14

May 22-26

7.3

7.5

The Eigenvalue Method for Linear Systems

Multiple Eigenvalue Solutions

4, 9, 18, 24, 26

15

May 29-Jun2

7.5

Multiple Eigenvalue Solutions (contd.)

Review

4, 10, 16, 28, 30

16 Jun 5-9
• 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.
• MATLAB will be used whenever possible.
• KFUPM attendance policy will be enforced.