LECTURE: MF 1300 - 1350, W 1200-1320 CRN 33075, 38818 LINC 343 Instructor: R.E. Showalter show@math.oregonstate.edu Kidder 286 Office Hours: Mondays 1400-1430, Wednesdays 1330-1400, after class and by appointment. 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: William F. Trench, Elementary Differential Equations with Boundary Value Problems,
FREE DOWNLOAD from "http://digitalcommons.trinity.edu/mono/9".
Trench, William F., "Elementary Differential Equations with Boundary Value Problems" (2013). Books and Monographs. Book 9.Homework will be assigned but not collected. Two 50 min Tests will be given. Quizs will be given weekly, and a cumulative score will be recorded. The Final Exam is the third Test. The Grade for the course is determined by the best three of these four scores. Test, Quiz and Final Exam problems come directly from the assigned Homework.Test Dates: January 27, February 24.
Final Exam: Monday, March 14, 1200.Schedule:
Chapter 1: Introduction.
1. Applications and Basics Read 1.1; 1.2: 2, 3, 4 (parts a,c,e). Review Integration Techniques (Web Study Guide)
Chapter 2: First Order Equations.
2. linear equations 2.1: 1,3,5,6,8,10,12,16,20,33,43. Read `Linear first order equations' section of Web Study Guide. (01/06)
3. separable 2.2: 3,6,11,12,28,29. Read 2.3.
4. Bernoulli, homogeneous 2.4: 1,3,7,9,15,17,23,25. (01/11)
5. exact equations 2.5: 1-14. Quiz #1 (2.1:10 & 2.2:12, AVG = 9.4/10)
Chapter 2: Applications.
6. applications 4.1: 1,3,8,9; 4.2: 1,3,8,9, 11.
7. MLK (01/18)
8. elementary mechanics Read 4.3. Miscellaneous Problems: Classify each equation by ALL applicable methods.
9. Second Order Equations: 4.4.
10. Review (Sections 2.1, 2.2, 2.4, 2.5, 4.2.) (01/25)
11. Test #1. (AVG = 93)
Chapter 5: Linear Second Order Equations.
12. linear equations 5.1: 1-4.
13. homogeneous equations 5.2: 1-17. (02/01)
14. nonhomogeneous equations, undetermined coefficients, I 5.3: 1, 3, 5. 5.4: odd 1 - 23.
15. undetermined coefficients, II 5.5:: 1,5,9,13,17,23,25,27,29.
16. reduction of order 5.6: odd 3 - 9,19,21,31. (02/08)
17. Quiz #2 (AVG=9.6) on 5.1-5.5. variation of parameters 5.7: 1-7, & 11.
18. forced vibrations 6.1: 1, 2, 15.
19. free vibrations 6.2: 1,2,5. Watch these! (02/15)
20. Euler equations 7.4: odd 1 - 9, 6.
Chapter 8: Laplace Transform.
21. Introduction 8.1: 1(a-e), 2(a-e).
22. Review: 5.4-5.7, 6.2, 7.4. (02/22)
23. Test #2. (AVG = 89) 5.4:21, 5.7:1, 5.7:7, 6.2:5.
24. Inverse transform 8.2: 1-4 (a,b,c)
25. initial value problems 8.3: 3,7,11,15,19,23. (02/29)
26. step functions 8.4: 1,2; 8.5: 1-3. (Quiz #3 on Friday.)
27. Quiz #3 PC functions 8.5: 3, 4, 8, 9, 10.
28. Initial-value problems with PC functions (03/07)
29. Eigenvalue Problems 11.1 Rotating String
30. Preview of Final Exam 2.1, 2.2, 2.4, 5.4 - 5.7, 7.4, 8.3, 8.5.
Final Exam: Monday, March 14, 1200. DAYLIGHT SAVINGS!