Textbook: Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems, 9th ed., Wiley.
LECTURE: MWF 900 - 950 Rogers 230 CRN 10412 Instructor: R.E. Showalter Kidder 286 show@math.oregonstate.edu Office Hours: M 10, W 11
Topics: Chapters 5, 7, 9. Power series solutions of ordinary differential equations, systems of ordinary differential equations, elementary stability theory. PREREQS: MTH 256
Homework will be assigned to indicate the topics for study, 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.
Test#1: October 19
Test#2: November 16
Final Exam: Wednesday, 5 December 1800
Power Series Notes
Web Study Guide
SCHEDULE
1. Introduction; First-Order ODE. Read Section 2.4. (9/24)
2. sequences: Section 1, pp 1-2, of Power Series Notes.
3. series: Section 2, pp 3-4.
4. sequences of functions: Section 3, pp 5-6 and `Series' in Web Study Guide. (10/01)
5. power series: Section 4, pp 7-8 and Chapter 5: Series Solutions of ODE, 5.1: 1-13.
6. series solutions 5.2: 1-6.
7. ordinary point, I 5.2: 7-12, 19, 21. (10/08)
8. ordinary point, II 5.3: odd 1-9, 10, 23.
9. Euler equations 5.4: 1-8. (Previous editions different section!)
10.regular singular point, I 5.5: 1-4. (10/15)
11.review
12.Test#1
13.regular singular point, II 5.6: 1-6. Read 5.7. (10/22)
14.Chapter 7: Systems of First Order Equations 7.1: odd 1-7, 15-18, 22, 23.
15.matrices 7.2: even 6-16.
16.linear algebraic systems 7.3: odd 1-7, 17-25. (10/29)
17.examples
18.basic theory 7.4: 1, 5, 6.
19.homogeneous systems, I 7.5: odd 1-15 (no direction fields). (11/5)
20.homogeneous systems, II 7.6: odd 1-9, 29. (no direction fields)
21.homogeneous systems, III 7.8: 1-4 (part c only).
22.homogeneous systems, IV 7.8: 17, 18. (11/12)
23.fundamental matrices 7.7: 1, 3, 11, 12.
24.Test#2
25.nonhomogeneous systems, undetermined coefficients 7.9: 1-7. (11/19)
26.variation of parameters 7.9: 1-11.
27. Thanksgiving holiday
28.autonomous systems and stability 9.2: 1-4. (11/26)
29.locally linear systems 9.3: 1-4.
30.review