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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