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

Section

Topic

Suggested

Homework

1

Feb 20-Feb 24

3.1

3.2

Introduction to Linear Systems

Matrices and Gaussian Elimination

2, 22, 24, 26

4, 8, 14, 28

2

Feb 27-Mar 03

3.3

3.4

Reduced Row-Echelon Matrices

Matrix Operations

3, 10, 24, 35

3, 10, 20, 24

3

Mar 06-10

3.5

3.6

Inverse of Matrices

Determinants

4, 12, 20, 28

2, 4, 12, 30, 40, 43

4

Mar 13-17

4.1

4.2

The Vector Space R3

The Vector Space Rn & Subspaces

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

3, 8, 16, 19

"A+"   Tuesday March 16, 2010: Exam I,  6:15 PM  "A+"  

5

Mar 20-24

4.3

4.4

Linear Combination & Independence of Vectors

Bases & Dimension for Vector Spaces

1, 6, 12, 17, 26

3, 8, 13, 16, 22

6

Mar 27-31

4.5

6.1

Method of Variation of  Parameters

Introduction to Eigenvalues

47, 52, 57, 60

2, 15, 24, 28, 36

7

Apr 03- 07

6.2

6.3

Diagonalization of Matrices

Applications involving Powers of Matrices

2, 14, 25, 28

2, 10, 20, 26, 36

8

Apr 10-14

7.5

1.1

Jordan form (pp 454-457)

Integrals as General & Particular Solutions

37, 38, 41

2, 12, 22, 30, 36, 40

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

 

Apr 17-21

Midterm

Midterm Vacation

Midterm Vacation

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

9

Apr 24-28

1.2

 

1.4

1.5

Integrals as General & Particular Solutions (page: 10-11)

Separable Equations & Applications

Linear First-Order Equations

4, 6, 15, 18

 

1, 10, 24, 27, 33

10

May 01-05

1.6

2.4

Substitution Methods & Exact Equations

2, 10, 22, 40, 60

3, 7, 12

11

May 08-12

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

12

May 15-19

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

13

May 22-26

7.1

7.2

First-Order Systems & Applications

Matrices & Linear Systems

2, 8, 13, 18, 21

2, 4, 12, 16, 20, 25

14

May 29-Jun2

7.3

7.5

The Eigenvalue Method for Linear Systems

Multiple Eigenvalue Solutions

4, 9, 18, 24, 26

 

15

 Jun 5-9

7.5

Multiple Eigenvalue Solutions (contd.)

Review

4, 10, 16, 28, 30
  • 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.