MTH 256: Applied Differential Equations, Spring, 2008

LECTURE:	MWF 1100 -- 1150	Rogers 230	CRN 30517
Instructor:	R.E. Showalter	Kidder 298b	show@math.oregonstate.edu
Assistant:	Shari Ultman	Kidder 338	ultmans@math.orst.edu
Office Hours:	Wednesday 12:00 - 1:00pm,	Kidder 338
	Thursday 12:00 - 2:00pm ,	Math Learning Center

For additional help, see Math Learning Center and Web Study Guide for Ordinary Differential Equations

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. Test problems come 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 28
Test #2: May 23

Final Exam: Thursday, June 12, 1800; Gilbert 124.

Schedule:
Chapter 3: Second Order Linear Equations.
00. 3.1 homogeneous equations: odd 1-15; read pp.192-194.
00. 3.2: odd 1-13; read 3.3 linear independence, Wronskian.
15. 3.4 complex roots: odd 1-17. (5/02)
16. 3.5 repeated roots; reduction of order: odd 1-13, 23-27. (5/05)
17. 3.6 undetermined coefficients: 1-10, 13, 15, 17.
18. 3.7 variation of parameters, reduction of order: odd 1-9, 13, 17, 28-32.
19. 3.8 free vibrations: odd 1-11, 17, 20. (5/12)
20. 3.9 Forced vibrations
21. 5.5 Euler equation: p. 166; 38-42; p. 175: 41-42.
22. 6.1 Laplace transform: odd 1-15. (5/19)
23. Review.
24. Test #2 p.184:2, p.172:12, p.190:5, p.192:29, p.203:11.
25. Memorial Day (5/26)
26. Initial-value problems: 6.2: 11-16.
27. discontinuous functions: Read 6.3: 1 - 6; 6.4: 1 - 6.
28. Review Laplace Transform (6/2)
29. Review First Order equations
30. Review Second Order equations

Final Exam: Thursday, June 12, 1800; Gilbert 124.
Exam Problems: p.131, 8, 21, 3.6: 3, 3.7: 7, 6.4: 1.