Math 222 - Differential Equations

Course Outline - Spring 2003

Text: Elementary Differential Equations with Boundary Value Problems (4th edition)
Authors: Edwards and Penney
Publisher: Prentice Hall ISBN 0-13-253410-X

Topics Sections and Minimal Homework Assignments

Week 1

Introduction. Integration. Existence and uniqueness. Sections: 1.1 - 1.3

Homework

1.1: 7, 12, 15, 22, 30, 39
1.2: 4, 6, 9, 10, 16, 25 (dy/dx should read dv/dt)
1.3: 12, 15, 16, 25, 30, 31

Week 2

Separable and linear equations. Applications. Sections: 1.4 - 1.5, 1.7

Homework

1.4: 4, 14, 17, 18, 22, 58
1.5: 17, 22, 25, 32, 37, 39
1.7: 2, 3, 9, 10, 14, 25

Week 3

Numerical methods. Sections: 6.1 - 6.3

Homework

6.1: 5, 6, 11, 12
6.2: 5, 6, 11, 12
6.3: 5, 6, 11, 12 + computational project #1

Week 4

Linear equations. Homogeneous constant coefficient equations. Sections: 2.1 - 2.3

Homework

2.1: 10, 11, 23, 25, 36, 41
2.2: 10, 13, 21, 24
2.3: 6, 9, 11, 21, 24, 28, 39, 40

Week 5

Mechanical vibrations. Undetermined coefficients and variation of parameters. Sections: 2.4 - 2.6

Homework

2.4: 1, 3, 16, 22
2.5: 4, 6, 29, 49, 53, 56
2.6: 5, 6, 15

Week 6

Laplace transform methods. Sections: 4.1, 4.2

Homework

4.1: 2, 9, 20, 23, 28, 29, 33, 36
4.2: 4, 8, 10, 14, 16, 22

Week 7

Laplace transform methods. Sections: 4.3 - 4.5

Homework

4.3: 3, 10, 18, 19, 30, 31, 40
4.4: 6, 7, 8, 12, 18, 23, 33

4.5: 2, 8, 14, 20, 31, 34

Week 8

Series solutions. Sections: 3.1, 3.2

Homework

3.1: 5, 9, 14, 20, 22
3.2: 5, 9, 14, 23, 24, 27

Week 9

Introduction to linear systems. Sections: 5.1, 5.2

Homework

5.1: 2, 6, 13, 22, 26, 27
5.2: 7, 8, 19, 31, 33

Week 10

Matrices and linear systems. Section: 5.3

Homework

5.3: 4, 8, 17, 25, 29, 37

Week 11

Eigenvalue method. Matrix exponentials. Sections: 5.4, 5.7

Homework

5.4: 4, 6, 12, 17, 23
5.7: 3, 6, 9

Week 12

Nonhomogeneous linear systems. Numerical methods for systems. Sections: 5.8, 6.4

Homework

5.8: 3, 5, 17, 19
6.4: 4,5 + computational project #2

Week 13

Fourier series. Sections: 8.1, 8.2

Homework

8.1: 9, 11, 14, 16, 17
8.2: 1, 9, 15, 16, 17

Week 14

Fourier series. Review. Section: 8.3

Homework

8.3: 2, 6, 11, 14

(updated by D. Blackmore - 12/11/2002)