MTH 306: Matrix and Power Series Methods, Fall, 2009

LECTURE:	MWF 900 - 950	Kidder 350	CRN 13450
RECITATION 1:	Tuesdays 830 - 950	StAg 132	CRN 13451
RECITATION 2:	Tuesdays 1000 - 1120	StAg 132	CRN 13452
RECITATION 3:	Tuesdays 1200 - 1320	BEXL 412	CRN 13453
Instructor:	R. E. Showalter	Kidder 298b	show@math.oregonstate.edu
Assistant:	Thilanka A. Appuhamillage	Kidder 330	ireshara@math.orst.edu
Office Hours:	Wednesday 10-12,	Kidder 330
MLC	Tuesday 3-4, Wednesday 12-1	Kidder 108

Prerequisite: MTH 252.
Textbook: J. Lee, Matrix and Power Series Methods., Wiley.
(Title page shows date 2008 and the next page shows copyright 2009.)

Homework will be assigned in Lectures as a guide for study. Three fifty-minute Tests will be given. A fifteen-minute Quiz will be given over the work of the preceding week. All Quiz and Test problems come directly from the assigned Homework. The Grade for the course is determined by the three Test scores (at 30% each) and the Quiz (at 10%).

Tentative Test Dates: October 16, November 4, November 23.
Quiz Date: December 4.

SCHEDULE:
1. Lesson 1, Complex Numbers, pp.1-15: 1 - 5, 8, 10, 17, 18, 24, 25, 33. (9/28)
2. Lesson 2, Vectors, Lines & Planes, pp. 19-30: 1-4, 6, 9-12.
3. Lesson 3, Linear equations, pp. 35-48: 1-10 and odd# 11-25.
4. No Class today. (10/5)
5. Lesson 4, Matrices, pp. 51-61: 1-4, 10-18, 20.
6. Lesson 5, Linear independence, pp. 65-72: 1-8.
7. Lesson 6, Matrices & Linear Transformations, pp. 73-84: 1-3, 6-11. (10/12)
8. Range space, Null space, and Projections.
9. Test #1.
10. Lesson 7, Eigenvalue Problems, p. 104: 1-7, 9, 11, 13. (10/19)
11. Symmetric Matrices, p. 104: 12, 14.
12. Lesson 9, Taylor Polynomial Approximation, pp. 113-121: 1-6, 15, 17.
13. Lesson 10, Infinite Series, p. 133: odd # 1 - 19. (10/26)
14. Lesson 11, Taylor Series, p. 142: odd # 1 - 19.
15. Lesson 12. Integral Test, p. 153: 2 - 11, 15.
16. Review. (11/02)
17. Test #2.
18. Lesson 13, Comparison Tests, p. 160: odd # 1 - 15.
19. Lesson 14, Alternating series, p. 169: odd # 1 - 17. (11/09)
20. Lesson 15, Ratio & Root Tests, p. 178: odd # 1 - 15.
21. p. 178: odd # 17 - 29.
22. Lesson 16. Power series, odd # 1 - 19. (11/16)
23. Lesson 17. analytic properties, odd # 1 - 9.
24. Review.
25. Test #3. (11/23)
26. 17.8: first-order ODE.
Thanksgiving
28. Second-order ODE. Exercises (11/30)
29. Review
30. Quiz