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 |
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7 |
Mar. 26 30 |
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 |
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 |
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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 |
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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. |