For additional help, see Math Learning Center and Web Study Guide for Ordinary Differential Equations
LECTURE: MWF 1400 -- 1450 Kidder 364 CRN 30543 Instructor: R.E. Showalter Kidder 368 show@math.oregonstate.edu Assistant: Kailash Ghimire Kidder 262 kailash@math.orst.edu Office Hours: Tuesday 9--11am, Kidder 262 Sunday 8--10pm, Wednesday 8--9pm,
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, 8th 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 at approximately three-week intervals. 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: April 23
Test #2: May 21
Final Exam: June 11, 12:00, Dearborn Hall 118.
Schedule:
Chapter 1: Introduction.
1. 1.1: 1, 3, 5, 15-20, 21, 23. (4/02)
2. 1.2: 1, 3; 1.3: odd 1-19.
Chapter 2: First Order Differential Equations.
3. 2.1 linear equations: odd 1-17.
4. 2.2 separable, homogeneous: odd 1-15, 31-37 (parts a,b).(4/09)
5. 2.3 models: 1-4, 13, 16, 18.
6. 2.4 Bernouli: 1, 5, 7, 13, 15, 28, 29, 30.
7. 2.6 exact equations: odd 1-7; review: p. 131, 1-15. (4/16)
8. 2.5 population models: 1,3,5,7; p. 131, 16-32.
9. Review.
10. Test #1: Chapter 2: 2.1 #14, 2.3 #16, 2.4 #28, p.131 #6, #21, #28. (4/23)
11. 2.7 Euler's method: 1a,b.
Chapter 3: Second Order Linear Equations.
12. 3.1 homogeneous equations: odd 1-15; read pp.192-194.
13. 3.2: odd 1-13; read 3.3 linear independence, Wronskian. (4/30)
14. 3.4 complex roots: odd 1-17.
15. 3.5 repeated roots: 1-14.
16. 3.6 undetermined coefficients: 1-10. (5/07)
17. reduction of order p. 173: 23, 24; p. 191: 28-32.
18. 3.7 variation of parameters: odd 1-9, 13, 17.
19. 3.8 free vibrations: odd 1-11, 17, 20. (5/14)
20. 3.9 forced vibrations
21. Review.
22. Test #2 (5/21)
23. Laplace transform: 6.1: odd 1-15.
24. more transforms
25. Memorial Day (5/28)
26. Initial-value problems: 6.2: odd 11-23.
27. discontinuous functions: Read 6.3; 6.4: 1, 3, 5, 7.
28. Review of Laplace Transform (6/4)
29. First Order equations
30. Second Order equations