For additional help, see Math Learning Center and Web Study Guide for Ordinary Differential Equations
LECTURE: MWF 1100 - 1150 Weniger 116 CRN 38698 Instructor: R.E. Showalter Kidder 286 show@math.oregonstate.edu Office Hours: Wed 1200 - 1245 Fri 1400 - 1445 Assistant: David Kubota Kidder 108E kubotad@math.oregonstate.edu Office Hours: Monday 1900 - 2200 in CLC (Library) Wednesday 1400-1600 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 30
Test #2: February 24
Final Exam: Monday, March 19, 0730. (NOTE: that's 7:30 am!)
Kidder Hall 350 & 364
SCHEDULE
Chapter 1: Introduction.
1. Initial value problems and direction fields 1.1: 1, 3, 15-20, 21, 23, Read 1.2, and 1.3: 29. (1/09)
Chapter 2: First Order Differential Equations.
2. linear equations 2.1: odd 1-19. ("Part c" only for 1-11) Review Integration Techniques in the Web Study Guide above.
3. separable, homogeneous 2.2: odd 1-15, odd 31-37 (parts a,b).
-- Holiday -- (1/16)
4. models 2.3: 1-4, 13, 16, 18a.
-- Rain Day --
5. Bernouli 2.4: 1, 3, 5, 7, 13, 15, 24, 25, 28, 29, 30. (01/23)
6. exact equations 2.6: 1-8.
7. population models 2.5: 1-7 and Review
8. Test #1: Average = 72, Median = 76. (01/30)
Chapter 3: Second Order Linear Equations.
9. homogeneous equations 3.1: odd 1-15.
10. complex exponential: 3.3 odd 7-21. Read 3.2. (existence, uniqueness and superposition)
11. repeated roots 3.4 (3.5 in 8th ed.): 5-14, 23, 25. (02/06)
12. linearity & Wronskian 3.2: odd 1-13. (1/31)
13. nonhomogeneous equations, undetermined coefficients 3.5 (3.6 in 8th ed.): odd 1-17, 10.
14. reduction of order 3.4: 23, 25, 27; 3.6: 28-32. (02/13)
15. variation of parameters 3.6 (3.7 in 8th ed.): odd 1-9, 13-17.
16. Euler equations 3.3: 34 and 5.4 (5.5 in 8th ed.): 1-8.
17. free vibrations 3.7 (3.8 in 8th ed.): odd 1-7, 17, 20. (02/20)
18. Review 3.4 - 3.7, 5.4
19. Test #2: Average = 73.6, Median = 76.
20. forced vibrations (2/27)
Chapter 6: Laplace Transform.
21. Laplace transform: 6.1: odd 5-15. (02/29)
22. initial-value problems 6.2: 11-16.
23. step functions 6.3: odd 1 - 21. (03/05)
24. discontinuous functions: 6.4: 1, 3, 5.
25. discontinuous functions: 6.4: 7, 9, 11.
26. Review of Second Order equations: 3.5, 3.6, 5.4, 6.2, 6.4. (03/12)
27. Review of First Order equations; special 2nd order equations 2.9: 38 - 45.
28. Miscellaneous Problems pp. 132-3: odd 1 - 23, even 26 - 32.
Final Exam: Average = 66, Median = 76.