MATH 202 SYLLABUS

Semester II, 2002-2003 (022)

(Prof. Abdelkader Boucherif)

Course #:

## Math 202

Title:

Elements of Differential Equations

Textbook:

A First Course in Differential Equations by D.G. Zill, 7th Edition.

 Wk Date Sec. Material Homework 1 Feb.23-26 1.1 1.2 Definitions and Terminology  Initial Value Problems 4,8,14,20,24 2,4,8,16,18,22 2 March 1-5 2.2 2.3 Separable Variables Linear Equations 6,14,22,24,44 2,5,10,17,30 3 March 8-12 2.4 2.5 3.1 Exact Equations-Integrating Factors Solutions by Substitutions Linear Equations (Modeling) 2,5,9,15,25,34,42,43 6,8,13,21,26,30 5,8,13,20,21,23,27 4 March 15-19 4.1.1 4.1.2 Initial and Boundary Value Problems Homogeneous Equations 5,8,11,12 16,19,23, 24,25,28,29 5 March 22-26 4.1.3 4.2 Nonhomogeneous Equations Reduction of Order 33,36,38 3,5,12,13,14,18,19 6 March 29-April 2 4.3   4.5 Homogeneous Linear Equations with Constant Coefficients Annihilator Approach 12,20,35,40,51   3,10,12,24,30,54,62 7 April 5-9 4.6 4.7 Variation of Parameters  Cauchy-Euler Equations 11,13,17,27 8,12,25,37,38 8 April 12-16 6.1 6.1.1 Solutions about Ordinary Points Review of Power Series 1,5,10,12 9 April 19-23 6.1.2 Solutions about Ordinary Points 13,16,18,28 10 April 26-30 6.2 Solutions about Singular Points 3,9,14,19,25 11 May 3-7 A.II.2 A.II.3 Gauss Elimination Eigenvalue Problem 31,34,38 47,48,49,50 12 May 10-14 8.1 8.2 Preliminary Theory Homogeneous Linear Systems with Constant coefficients 1,4,10,15,24. 13 May 17-21 8.2.1      8.2.2 Distinct Real Eigenvalues Repeated Eigenvalues (m=2,3) 3,6,11,13 19,21,26,28 14 May 24-28 8.2.3 8.3 Complex Eigenvalues Variation of Parameters (Optional) 33,38,42,44 1,3,8,13,18 15 May 31-June 4 8.3 Continued + Review

·         Last day for Classes: Saturday 7 June

#### §         KFUPM attendance policy will be enforced. DN grade for more than 9 unexcused absences

§         Exam # 1: Wednesday March 26, 2003  (Suggested by the CS)

§         Exam #2: Wednesday April 30, 2003 (Suggested by the CS )

§         Final Exams June: 8 - 18

§         April 30, 2003: Last day for dropping courses with “W”

§         May 31, 2003:  Last day for withdrawal from all courses with grade of “WP/WF”

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