LECTURE: MW 1100 - 1150, F 1000-1140 CRN 55248 STAG 107 Instructor: R.E. Showalter show@math.oregonstate.edu Kidder 286 Office Hours: Monday 1000-1045, Wednesday 1200-1245. Kidder 286
For additional help, see Web Study Guide for Ordinary Differential Equations
Topics: First order differential equations, and second order linear equations. Applications, including mechanical oscillators. Additional topics from Laplace transform, numerical methods, and partial differential 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 but not collected. Two Tests will be given. Quizs will be given on most Fridays, and a cumulative score will be recorded. The Grade for the course is determined by the best two of these three scores. Test and Quiz problems come directly from the assigned Homework.Test #1: April 26
Test #2: May 31
Schedule:
Chapter 1: Introduction.
1. Initial value problems and direction fields 1.1: 1, 3, 15, 17, 19, 21, 22, 23, Read 1.2, and 1.3: 29. (04/01)
Chapter 2: First Order Differential Equations.
2. linear equations 2.1: 13-20; models 2.3: 1-4.
3. separable 2.2: odd 1-7, odd 9(a)-15(a); models 2.3: 13, 16, 18a.
4. homogeneous 2.2: odd 31-37 (parts a,b); Bernouli 2.4: 1, 3, 5, 7, 13-16, 24-30. (04/08)
5. population models 2.5: 1, 3, 5, 7.
6. exact equations 2.6: 1-8. Quiz #1.
7. Miscellaneous Problems 2.9: pp. 132-3, 1 - 31 (classify each by applicable methods); Second Order Equations: 38-45. (04/16)
8. Miscellaneous Problems 2.9: pp. 132-3: 1 - 31.
Chapter 3: Second Order Linear Equations.
9. homogeneous equations 3.1: odd 1-15; Quiz #2 (on Miscellaneous Problems).
10. complex roots 3.3: odd 7-21. (04/22)
11. Review
12. Test #1 (on Chapter 2)(2.2:37,2.6:3,132:6,2.4:28,2.5:3,2.3:16) AVG=84
13. repeated roots 3.4: odd 1-15; Read Section 3.2 linear independence, Wronskian (04/29).
14. 3.4: even 2-14 and 23, 24, 25, 26.
15. undetermined coefficients 3.5: odd 1-17 and 10; Quiz #3 (on 3.1, 3.3, 3.4).
16. free vibrations 3.7: odd 1 - 7, 17, 20. (05/06)
17. reduction of order 3.4: 23, 24, 25; 3.6: 28-32.
18. No Class today. Watch these.
19. variation of parameters 3.6: odd 1-17, & 12. (05/13)
20. Euler equations 3.3: 39-42, 3.4: 41-42.
21. forced vibrations 3.8: odd 5, 6, 9, 10; Quiz #4 (on 3.5).
Chapter 6: Laplace Transform.
22. definition 6.1: odd 5-15. (05/20)
23. differential equations 6.2: 11 - 16, 21, 22.
24. Theory, experiment & computation See `Math Matters' and `WhyDoMath'
25. Memorial Day (05/27)
26. Review: 3.4, 3.5, 3.6, 3.8.
27. Test #2 AVG=87
28. step functions : 6.3 odd 1 - 21. (06/03)
29. discontinuous input 6.4: odd 1 - 11.
30. impulse functions 6.5: 1 - 5.