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.
• Instructors: Please Assign MATLAB Related Homework that Covers Plotting Solutions of ODEs, Evaluating RREF, Eigenvalues and Eigenvectors and Diagonalization of Matrices.