LECTURE: MW 1400 - 1515, F 1400-1450 CRN 24969 STAG 233 Instructor: R.E. Showalter show@math.oregonstate.edu Kidder 298b
For additional help, see Web Study Guide for Ordinary Differential Equations
Topics: First order differential equations, and second order linear equations. Applications, especially mechanical oscillators. Introduction to the 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, 8th ed., Wiley.
Homework will be assigned, but it will not be collected. Three thirty-minute Tests will be given on Fridays. Final Exam counts the equivalent of two Tests. The Grade for the course is determined by the best four of these five scores. Absence from a Test gives a score of 0 for that Test. The Final Exam will be comprehensive. New material will be presented on MW and Recitations/Tests will occur on Fridays.Final Exam: March 17 = Monday, 1800 = 6pm in Stag 233.
Schedule:
Chapter 1: Introduction.
1. 1.1: 1, 3, 5, odd 15 - 23; 1.2: 1; 1.3: read only. (01/07)
Chapter 2: First Order Differential Equations.
2. 2.1 linear equations: 1-17; 2.2 separable: odd 1-13.
3. 2.3 models: 1-4, 13, 16, 18a.
4. 2.2 homogeneous: odd 31-37 (parts a,b); 2.4 Bernouli: 1, 5, 7, 13, 15, 28, 29, 30. (01/14)
5. 2.4: existence-uniqueness issues; 2.5 population models: 1,3,5,7.
6. 2.6 exact equations: 1, 3, 5, 7; review: p. 131, 1-32.
No Class (01/21)
7. Review ... first-order equations, linear algebra.
8. Test #1
Chapter 3: Second Order Linear Equations.
9. 3.1 homogeneous equations: odd 1-15; read Section 3.2. (01/28)
10. Read Section 3.3 linear independence, Wronskian; 3.4 complex roots: odd 7-17, 18.
11. 3.5 repeated roots: odd 1-13.
12. 3.6 undetermined coefficients: 1-10; Euler equations 3.4:39-42, 3.5: 41-42. (02/04)
13. reduction of order p. 173: 23, 24, 25; p. 191: 28-32.
14. 3.8 free vibrations: odd 5-11, 17, 20.
15. 3.7 variation of parameters: odd 1-9, 13, 15. (02/11)
16. Review: 3.6, 3.7.
17. Test #2
Chapter 7: Systems of Linear Differential Equations.
18. 7.1, 7.2 linear systems & matrices (02/18)
19. eigenvalues and eigenvectors 7.3: 1-4, 15, 17.
20. linear systems of ODEs 7.4.
21. constant coefficients: real eigenvalues 7.5: 1, 5, 9, 13. (02/25)
22. complex eigenvalues 7.6: 1, 5, 9.
23. multiple roots 7.8: 1, 5.
24. Laplace transform 6.1, pp. 307-313: #5-9; 6.2 pp. 314-315. (03/03)
25. initial-value problems 6.2, review
26. Test #3
27. 6.2: odd# 11 - 17. step functions 6.4: 1, 3, 5. (03/10)
28. finish Laplace transform; resonance revisited
29. review topics
FINAL: March 17 = Monday, 1800 = 6pm in Stag 233.