MA 238-01, Fall 2009

MA 238-01, Applied Differential Equations, Fall 2009

Course Description and Goals

This 3 credit course provides an elementary introduction to the techniques and necessary theory for solving the basic differential equations usually encountered by beginning science and engineering students. General topics include

analytical and graphical methods for solving and analyzing first-order differential equations,
Euler's numerical method,
the basic theory of higher-order, linear differential equations, with major emphasis on equations with constant coefficients,
variation of parameters,
the Laplace transform as a tool for solving differential equations.

Course goals include

a basic understanding the special language, notation, and point of view of differential equations, and the importance of differential equations in the modeling of many physical laws and processes.
the ability to solve basic differential equations,
a basic understanding of differential equations from contrasting but complementary points of view: algebraic, graphical, numerical, and procedural
reinforcement of the concepts and techniques learned in calculus,
a basic understanding of some classical problems and processes, such as spring mass systems, and electrical circuits,
an improved ability to read, write, speak, and think in mathematical terms.

Prerequisites

MA 172
MA 201 (co-requisite)

Instructor Information

Instructor: Kyle Siegrist
Office: 258K Shelby Center
Voice: 824-6486
Fax: 824-6173
E-mail: siegrist@math.uah.edu

Office Hours

Monday, 8:00 - 9:00
Tuesday, 12:45 - 2:15
Wednesday, 8:00 - 9:00
Thursday, 12:45 - 2:15
Friday, 8:00 - 9:00

Course Materials

Course web site: http://www.math.uah.edu/siegrist/MA238/index.html
Text: Preliminary version of Ordinary Differential Equations, by Kenneth Howell. Available in print at the bookstore and online at http://www.uah.edu/howell/DEtext/index.htm.
Table of Laplace Transforms

Course Outline

Chapter 1. Sections 1, 2, 3
Chapter 2. Sections 1, 2
Chapter 3. Sections 1, 2, 3
Chapter 4. Sections 1, 2, 3, 4
Chapter 5. Sections 1, 2
Chapter 6. Sections 1, 2, 3, 4
Chapter 8. Sections 1, 2
Chapter 9. Sections 1, 2, 3, 4
Chapter 10. Sections 1, 2, 3, 4, 5, 6
Chapter 11. Sections 1, 2
Chapter 12. Sections 1, 2, 3
Chapter 13. Sections 1, 2
Chapter 14. Sections 1, 2, 3
Chapter 16. Sections 1, 2, 3, 4, 5, 6
Chapter 17. Sections 1, 2
Chapter 18. Sections 1, 2, 3
Chapter 19. Sections 1, 2
Chapter 20. Sections 1, 2
Chapter 21. Sections 1, 2, 3, 4, 5
Chapter 22. Sections 1, 2, 3
Chapter 23. Sections 1, 2
Chapter 24. Sections 1, 2, 3, 4, 5
Chapter 25. Sections 1, 2
Chapter 26. Sections 1, 2, 3
Chapter 27. Sections 1, 2
Chapter 28. Sections 1, 2
Chapter 29. Sections 1, 2, 3

Class Schedule

Monday, Wednesday, Friday 9:10 - 10:05
207 Shelby Center

Grade Determination

Quizzes: 1/6
Three class tests 1/2
Final Exam: 1/3

Grading Scale (%)

90-100
80-89
70-79
60-69
0-59

Test Schedule

Test 1: Monday, September 21
Test 2: Friday, October 23
Test 3: Friday, November 20
Final Exam: Friday, December 4, 8:00 - 10:30

Policies

No make-up tests or quizzes will be given except for documented cases of illness or emergency.
Consult the Student Handbook for information about the grievance procedure, accommodations for students with disabilities, or academic misconduct.

If you have difficulties or complaints related to this course, your first action usually should be to discuss them with me. If such a discussion would be uncomfortable for you or fails to resolve your difficulties, you should contact Professor Li, Chair of the Department of Mathematics. Professor Li's office is 258B Shelby Center. His telephone number is 824-6470. If you still are unsatisfied, you should discuss the matter with the Dr. Daniel Rochowiak, Associate Dean of the College of Science. Dean Rochowiak's office and telephone number are MSB C206 and 824-6605.

Tests and Quizzes

Quizzes

Tests

Assignments

Week 1

Wednesday, August 19. Read Chapter 1 and work problems 1.3, 1.5, 1.7, 1.9, 1.11
Friday, August 21. Read Sections 2.1 and 2.2. Work problems 2.2, 2.3, 2.4, and 2.5

Week 2

Monday, August 24. Read Sections 3.1, 3.2 and 3.3. Work problems 3.4 and 3.5.
Wednesday, August 26. Read Sections 4.1-4.4 and work problems 4.3-4.9
Friday, August 28. Continue with Chapter 4.

Week 3

Monday, August 31. Read Sections 5.1, 5.2 and work problems 5.1, 5.2 and 5.3.
Wednesday, September 2. Read Chapter 6. Work problems 6.1, 6.2, 6.3, 6.4.
Friday, September 4. Continue with the problems in Chapter 6.

Week 4

Monday, September 7. Labor day, no class
Wednesday, September 9. Read Sections 8.1, 8.2. Work problems 8.2, 8.3, 8.4, 8.5.
Friday, September 11. Read Sections 9.1 and 9.2. Work problems 9.1 and 9.2.

Week 5

Monday, September 14. Read Chapter 10. Work problems 3, 4, 5, 8, 12, 14, 16, 17.
Wednesday, September 16. Continue with the problems in Chapter 10.
Friday, September 18. Study for Test 1 on Monday, over Chapters 1, 2, 3, 4, 5, 6, 8, 9, 10.

Week 6

Monday, September 21. Read Chapter 11 and work problems 11.2-11.7
Wednesday, September 23. Read Sections 12.1-12.3 and work problems 12.2-12.8.
Friday, September 25. Continue with the assignment in Chapter 12.

Week 7

Monday, September 28. Read Sections 13.1 and 13.2. Work problems 13.1 and 13.2
Wednesday, September 30. Read Chapter 14. Work problems 14.2, 14.3
Friday, October 2. Read Chapter 16 and begin working problems 16.1-16.5

Week 8

Monday, October 5. Continue the assignment in Chapter 16.
Wednesday, October 7. Read Chapter 17 and work problems 17.1, 17.2, 17.4, 17.7, 17.10, 17.11
Friday, October 9. Fall break; no class

Week 9

Monday, October 12. Continue with the assignment in Chapter 17.
Wednesday, October 14. Read Sections 18.1, 18.2, and 18.3. Work problems 18.1, 18.2, 18.3, 18.4
Friday, October 16. Read Sections 19.1, 19.2, and 19.3. Work problems 19.1, 19.2, and 19.4. Hand in Quiz 11 on Monday.

Week 10

Monday, October 19. Read Chapter 20. Work problems 20.1-20.12.
Wednesday, October 21. Study for Test 2 on Friday, over Chapters 11-14, 16-20.
Friday, October 23. Test 2.

Week 11

Monday, October 26. Read Chapter 21. Work problems 21.1-21.7
Wednesday, October 28. Continue with Chapter 21, problems 21.1-21.9
Friday, October 30. Read Chapter 22. Know how to find the transient and steady-state parts of the solution for a damped system. Know how to determine whether an updamped system is in resonance.

Week 12

Monday, November 2. Read Sections 23.1, 23.1. Work problems 23.1-23.3
Wednesday, November 4. Read Sections 24.1-24.5 and work problems 24.6-24.11.
Friday November 6. Continue with the assignment in Chapter 24. Work Quiz 15 and hand in on Monday.

Week 13

Monday, November 9. Read Chapter 25. Work problems 1-3, 5-8.
Wednesday, November 11. Read Chapter 26. Work problems 1, 2, 4-10.
Friday, November 13. Continue with the assignment in Chapter 26.

Week 14

Monday, November 16. Read Chapter 27 and work problems 2, 4, 5.
Wednesday, November 18. Study for Test 3 over Chapters 21-27.
Friday, November 20. Test 3

Week 15

Monday, November 23.
Wednesday, November 25. Thanksgiving holidays; no class
Friday, November 27. Thanksgiving holidays; no class

Week 16

Monday, November 30.