LECTURE: MF 1100 - 1150, W 1100-1240 CRN 55609 Women's Bldg 205 Instructor: R.E. Showalter show@math.oregonstate.edu Kidder 289 Office Hours: Monday 1315-1400, Friday 1400-1445. Kidder 289
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. Final Exam counts the equivalent of two Tests. The Grade for the course is determined by the best three of these four scores. Test and Exam problems come directly from the Homework.Test #1: April 25
Test #2: May 16
Final Exam: June 14, Thursday, 1800
Schedule:
Chapter 1: Introduction.
1. Initial value problems and direction fields 1.1: 1, 3, odd 15-19, 21, 22, 23, Read 1.2, and 1.3: 29. (04/02)
Chapter 2: First Order Differential Equations.
2. 2.1 linear equations: 13-20; 2.3 models: 1-4.
3. 2.2 separable: odd 1-15, homogeneous: odd 31-37 (parts a,b); 2.3 models: 13, 16, 18a.
4. 2.4 Bernouli: 1, 3, 5, 7, 13, 15, 24-30. (04/09)
5. 2.5 population models: 1, 3, 5, 7.
6. 2.6 exact equations: 1-8; 2.9 Miscellaneous Problems pp. 132-3: classify each by applicable methods.
7. 2.9 Second Order Equations: 38-45. (04/16)
Chapter 3: Second Order Linear Equations.
8. 3.1 homogeneous equations: odd 1-15; 3.3 complex roots: odd 7-21.
9. 3.4 repeated roots: odd 1-15.
10. Review (04/23)
11. Test #1 Average = 82, Median = 87.
12. Read Section 3.2 linear independence, Wronskian
13. 3.5 undetermined coefficients: odd 1-17 and 10. (04/30)
14. 3.7 free vibrations: odd 1-7, 17, 20.
15. 3.8 forced vibrations: odd 5, 6, 9, 10.
16. 3.4 reduction of order: 23, 24, 25; 3.6: 28-32. (05/07)
17. 3.6 variation of parameters: odd 1-9, 13 - 17.
18. Euler equations 3.3:39-42, 3.4: 41-42.
19. Review: (05/14)
20. Test #2 Average = 80.7, Median = 88.
Chapter 6: Laplace Transform.
21. 6.1 definition: odd 5-15.
22. 6.2 differential equations: 11 - 16. (05/21)
23. 6.3 step functions : odd 1 - 21.
24. 6.4 discontinuous input : odd 1 - 11..
25. 6.5 impulse functions : 1 - 5. (05/30)
26. Theory, experiment,& computation See `Math Matters' and `WhyDoMath'
27. Review 2.1, 2.2, 2.4, 2.6, 2.9. (06/04)
28. Review 3.2, 3.5, 3.6, 5.4.