LECTURE: MW 1100 - 1150, F 1000-1140 CRN 54722 STAG 233 Instructor: R.E. Showalter show@math.oregonstate.edu Kidder 286 Office Hours: Monday 1000-1045, Wednesday 1200-1245. 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 on most Fridays, 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 #1: April 25 (tentative)
Test #2: May 23 (tentative)
Final Exam: Wednesday, June 11, 1400.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) (03/31)
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.
3. separable 2.2: 3,6,11,12,28,29. Quiz #1 (AVG = 18.9/20).
4. Bernoulli, homogeneous 2.4: 1,3,7,9,15,17,23,25.
5. exact equations 2.5: 1-14.
Chapter 2: Applications.
6. applications 4.1: 1,3,8,9; 4.2: 1,3,8,9, 11. Quiz #2 (AVG = 14.2/20)
7. Second Order Equations: Read 4.3 & 4.4. (04/14)
8. 4.4: 1,2,3; Miscellaneous Problems: Classify each by applicable methods.
Chapter 5: Linear Second Order Equations.
9. Quiz #3 (AVG = 18.3/20). linear equations 5.1: 1-4. Snow Plow Problem
10. homogeneous equations 5.2: odd 1-17. (04/21)
11. Review
12. Test #1 (AVG = 83). (2.1, 2.2, 2.4, 2.5, 4.2, 5.2.)
13. undetermined coefficients, I 5.3: 1, 3, 5; 5.4: odd 7 - 23. (04/28)
14. undetermined coefficients, II 5.5:: 1,5,9,13,17,23,25,27,29.
15. reduction of order 5.6: odd 3 - 9,19,21,31.
16. variation of parameters 5.7: odd 1-7, & 11. (05/05)
17. forced vibrations 6.1: 1,2,15.
18. Quiz #4 (AVG = 18.8) free vibrations 6.2: 1,2,5; Euler equations 7.4: odd 1 - 9, 6. Watch these!
Chapter 6: Laplace Transform.
19. Introduction 8.1: 1(a-e), 2(a-e). (05/12)
20. initial value problems Read 8.2; 8.3: 3,7,11,15,19,23.
21. Quiz #5 (AVG = 19) step functions 8.4: 1,2; 8.5: 1-5.
22. impulse functions Read 8.7: (05/19)
23. Review: 5.4-5.7, 7.4, 8.3, 8.5.
24. Test #2 (AVG = 80).
25. Memorial Day (05/26)
26. Review
27. Eigenvalue Problems 11.1: 2, 6. Rotating String
28. Heat Equation 12.1: 9. (06/02)
Solution with boundary conditions u(0,t) = u(1,t) = 0 and initial value u(x,0) = sin(pi x)..
Solution with boundary conditions u(0,t) = u(1,t) = 0 and initial value u(x,0) = 1..
29. Preview of Final Exam 2.1, 2.2, 2.4, 5.4 - 5.7, 7.4, 8.3, 8.5.
30. Review
All students please complete the Student Evaluation form and return it to UHC Office, 230 Strand Hall.
Extra Office Hours: Monday, June 9, 900-1030.
Final Exam: Wednesday, June 11, 1400 - 1550.
