For additional help, see Math Learning Center and Web Study Guide for Ordinary Differential Equations
LECTURE: MWF 1000 - 1050 Kearney 112 CRN 30203 Instructor: R.E. Showalter Kidder 286 show@math.oregonstate.edu Assistant: Patricia Medina Kidder 262 medinaf@math.oregonstate.edu Office Hours: Wednesdays 2-5 in MLC, Thursdays 12-1:40 in Kidder 108E
Topics: First order linear and nonlinear equations, and second order linear equations. Applications, especially mechanical oscillators. Introduction to the Laplace transform and higher order equations. Solution methods and applications appropriate for science and engineering.
Textbook: Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems, 9th ed., Wiley.
Homework will be assigned in Lecture Periods as a topic for Recitation Periods, but it will not be collected. Two fifty-minute Tests will be given in the Lecture period. Test problems come directly from the assigned Homework. Final Exam counts the equivalent of two Tests. The Grade for the course is determined by the best three of these four scores. Absence from a Test gives a score of 0 for that Test. The Final Exam will be comprehensive and will serve as a make up for one Test. No excuse from a Test is necessary, and there is no excuse for absence from the Final Exam. Lectures will be on MWF and Recitations on Thursday.Test #1: January 28
Test #2: February 25
Final Exam: Thursday, March 17, 12:00, Weniger 151.
SCHEDULE
Chapter 1: Introduction.
1. 1.1: 1, 3, 15-20, 21, 23. Read 1.2 and 1.3: 29. Initial value problems and direction fields. (1/03)
Chapter 2: First Order Differential Equations.
2. linear equations 2.1: odd 1-17.
3. separable, homogeneous 2.2: odd 1-15, odd 31-37 (parts a,b).
4. models 2.3: 1-4, 13, 16, 18a. (1/10)
5. Bernouli 2.4: 1, 3, 5, 7, 13, 15, 24, 25, 28, 29, 30.
6. exact equations 2.6: 1-7.
-- MLK (1/17)
7. population models 2.5: 1-7.
Chapter 3: Second Order Linear Equations.
8. 3.1 homogeneous equations: odd 1-15; Review Miscellaneous Problems, pp. 132-3, 1, 3, 5, 6, 8, 9, 11.
9. 3.3 complex exponential: odd 1-15; pp. 132-3: 12, 14, 15, 17, 20, 22, 25, 30. (1/24)
10. Review
11. Test #1:
12. 3.2 Wronskian: odd 1-13. (1/31)
13. 3.4 (3.5 in 8th ed.) repeated roots: 5-14.
14. 3.5 (3.6 in 8th ed.) nonhomogeneous equations, undetermined coefficients: 1-10.
15. 3.4 reduction of order: 23, 24; 3.6: 28-32. (2/7)
16. 3.6 (3.7 in 8th ed.)variation of parameters: odd 1-9, 13, 17.
17. 5.4 (5.5 in 8th ed.) Euler equations: 1-5,8.
18. 6.1 Laplace transform: odd 1-15. (2/14)
19. 6.2 initial-value problems: 11-15.
20. 3.7 (3.8 in 8th ed.)free vibrations: odd 1-7, 17, 20.
21. 3.8 (3.9 in 8th ed.)forced vibrations (2/21)
22. Review 3.1 - 3.7, 5.4
23. Test #2 (2/25)
24. Review test. (2/28)
25. discontinuous functions: Read 6.3; 6.4: 1, 3.
26. discontinuous functions - continued
27. Review of Laplace Transform (3/7)
28. Review of Second Order equations: 3.5, 3.6, 5.4, 6.2, 6.4.
29. Review of First Order equations
Final Exam: Thursday, March 17, 12:00, Weniger 151.