King Fahd University of Petroleum and Minerals
Department of Mathematical Sciences

Course Syllabus
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Instructor: Dr. Abdur-Rahim M. Farhat
Office: 5-432
Phone : x-2577
e-mail: 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.

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 Week Date Sec No. Description Suggested HW Problems Remarks 1 Feb. 14-18 1.1 Differential Equations and Math Models 7, 9, 10, 12, 15, 16, 25, 26 Tue. Feb 17-Last day for adding 1.2 Integrals and General and Particular Solutions 2, 5, 6, 7, 9, 10 2 Feb. 21-25 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. 06-10 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. 13-17 3.3 Reduced Row-Echelon 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. 20-24 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. 27-31 4.1 The Vector Space R3 12, 18, 20, 27, 32 Tue. Mar. .30 - Last day for dropping courses with grade of "W" 4.2 The Vector Space and Subspaces Rn 2, 4, 6, 13, 16, 17, 19, 23, 26, 27 8 Apr. 03-07 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. 10-14 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. 17-21 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. 24-28 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 01-05 6.2 Diagonalization of Matrices Skipped 6.3 Applications involving Powers of Matrices Skipped 13 May 08-12 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 15-19 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 22-26 7.5 Multiple Eigenvalue Solutions

Rules and Regulations

1. No make ups.
2. A grade of "DN" will be given if number of unexcused absences exceeds 8.
3. Lateness will count as 1/3 of an absence.
4. Student who come late for class are responsible to remind me at the end of the lecture to replace the absence mark to lateness.
5. No homework will be collected for grading.
6. 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.

1. ```First Major                  20%
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2. ```Second Major                 20%
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3. ```Final Exam                   30%
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4. ```Computer Assignments          8%
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5. ```Quizzes                      14%
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6. ```Attendance                    8%
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```TOTAL                       100%

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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 row-reduced echelon form.