## MTH 256H: Applied Differential Equations, Winter, 2019

LECTURE: Recitation: Instructor: MF 1300 - 1350 STAG 161 CRN 32367 W 1200-1350 STAG 161 CRN 35635 R.E. Showalter Kidder 286 show@math.oregonstate.edu Mon & Fri, 14:00-15:30, Fri 11:00-11:30 Kidder 286

Schedule:
Chapter 1: Introduction.
1. Applications and Basics Read 1.1; 1.2: 2, 3, 4 (parts a,c,e for all three). Review Integration Techniques (Study Guide, pp. 5,6,9-12.) (1/7/2019)
Chapter 2: First Order Equations.
2. linear equations 2.1: 1,3,5,6,8,10,11,12,16,20,33,43. Read Lesson 3:`Linear first order equations' of Study Guide.
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. (01/14)
5. exact equations 2.5: 1-14. Quiz #1.
Chapter 2: Applications.
6. applications 4.1: 1,3,8,9; 4.2: 1,3,8,9, 11.
7. MLK (01/21)
8. elementary mechanics Read 4.3. Miscellaneous Problems: Classify each equation by ALL applicable methods. Quiz #2: Sections 2.2 & 2.4.
9. Problems
10. Review (Sections 2.1, 2.2, 2.4, 2.5, 4.2.) (01/28)
11. Test #1.
Chapter 5: Linear Second Order Equations.
12. homogeneous equations 5.2: odd 1-17.
13. Read pp. 1-2 in linear equations ; 5.2: even 1-17.(02/04)
14. No class today.
15. nonhomogeneous equations, undetermined coefficients, I 5.3: 1, 3, 5. 5.4: odd 1 - 23.
16. undetermined coefficients, II 5.5:: 1,5,9,13,17,23,25,27,29. Find the form of the solution; do not solve for constants.
17. reduction of order 5.6: 3,4,5,7,8,9. Quiz #3: Sections 5.2-5.4.
18. variation of parameters 5.7: 1-7, & 11.
19. free vibrations 6.2: 1,2,4,5. (02/18)
20. forced vibrations 6.1: 1, 2, 15. Quiz #4: Sections 5.6-5.7.
21. Euler equations 7.4: odd 1 - 9, 6.
Chapter 8: Laplace Transform.
22. Introduction 8.1: 1, 2. (02/25)
23. Read Inverse transform 8.2; initial value problems 8.3: 3,7,11,15,19,23.
24. step functions 8.4, PC functions 8.5.
25. Review (Sections 5.2 - 5.7, 6.1-6.2, 7.4.) (03/04)
26. Test #2.
27. Recap
30. Review (Sections 2.1, 2.2, 2.4, 2.5, 4.2, 5.2 - 5.7, 6.1-6.2, 7.4.)

Topics: First order linear and nonlinear equations, and second order linear equations. Applications to electric circuits and mechanical oscillators. Introduction to the Laplace transform and higher order equations. Solution methods and applications appropriate for science and engineering. (Familiarity with complex numbers and Euler's identities is highly desirable.) All courses used to satisfy MTH prerequisites must be completed with C- or better.

Textbook: William F. Trench, Elementary Differential Equations with Boundary Value Problems, Books and Monographs, Book 9,
(Use the copy obtained from this "FREE DOWNLOAD" so we have the same numbered homework problems.)

For additional information, see the Study Guide.

Homework will be assigned but not collected. Two 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.
Tentative Test Dates: January 30, March 6.
Final Exam: Monday, 3/18/2019, 1400-1600.

Students With Disabilities: Accommodations for students with disabilities are determined and approved by Disability Access Services (DAS). If you, as a student, believe you are eligible for accommodations but have not obtained approval please contact DAS immediately at 541-737-4098 or at http://ds.oregonstate.edu. DAS notifies students and faculty members of approved academic accommodations and coordinates implementation of those accommodations. While not required, students and faculty members are encouraged to discuss details of the implementation of individual accommodations

TUTORING: Math tutoring with Michael Kupperman, E/H Conference Room in Sackett Hall, Wednesdays, 5-8pm
MTH & STAT Learning Center
REU at OSU: Check out the Research Experience for Undergraduates at OSU this Summer.