King Fahd University of Petroleum and Minerals

Department of Mathematical Sciences

Syllabus Math 260

Semester 2, 2004-2005 (042)

(Coordinator: Dr. A. H. Bokhari)

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 2001

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

Feb. 12 – 16

1.1

1.2

Differential Equations & Mathematical Models

Integrals as General & Particular Solutions

2, 11, 20, 30, 32, 39

4, 6, 15, 18

2

Feb. 19– 23

1.4

1.5

Separable Equations & Applications

Linear First-Order Equations

1, 10, 24, 27, 29

3

Feb. 26 – Mar 2

1.5

1.6

Linear First-Order Equations (contd.)

Substitution Methods & Exact Equations

4, 12, 24, 28, 32

2, 10, 22, 40, 48

4

Mar. 5 – 9

3.1

3.2

Introduction to Linear Systems

Matrices and Gaussian Elimination

2, 22, 24, 26

4, 8, 14, 28

5

Mar. 12 – 16

3.3

3.4

Reduced Row-Echelon Matrices

Matrix Operations

3, 10, 24, 35

3, 10, 20, 24

6

Mar. 19 – 23

3.5

3.6

Inverse of Matrices

Determinants

4, 12, 20, 28

2, 4, 12, 30,40, 43

Saturday, March 19: Suggested date for major exam 1

7

Mar. 26 – 30

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. 2 – 6

4.3

4.4

Linear Combination & Independence of Vectors

Bases & Dimension for Vector Spaces

1, 6, 12, 17, 26

3, 8, 13, 16, 22

Mid Term Break  : 7 – 15 April

9

Apr. 16 – 20

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

10

Apr. 23 – 27

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

Apr. 30 –May 4

5.5

6.1

Method of Variation of  Parameters

Introduction to Eigenvalues

47, 52, 57, 60

2, 15, 24, 28, 36

12

May 7 – 11

6.2

6.3

Diagonalization of Matrices

Applications involving Powers of Matrices

2, 14, 25, 28

2, 10, 20, 26, 36

Monday, May 9: Suggested date for major exam 2

13

May 14 –  18

7.1

7.2

First-Order Systems & Applications

Matrices & Linear Systems

2, 8, 13, 18, 21

2, 4, 12, 16, 20, 25

14

May 21 –  25

7.3

7.5

The Eigenvalue Method for Linear Systems

Multiple Eigenvalue Solutions

4, 9, 18, 24, 26,

 

15

May 28 –June 1

7.5

Multiple Eigenvalue Solutions (contd.)

Review

4, 10, 16, 28, 30

The date and place of the final examination will be arranged by the Registrar.

The final examination will be comprehensive.