Office Hours: Wednesday 1230-1330, Friday 1315-1345.
LECTURE: MWF 1400-1450 STAG 211 CRN 10395 Instructor: R.E. Showalter Kidder 286 show@math.oregonstate.edu
Topics: Matrix algebra, determinants, systems of linear equations, computational aspects of eigenvalues and eigenvectors:
Chapters 1 - 4, 6 of the Textbook.
Prerequisite: MTH 254.
Textbook: Leon, Linear Algebra with Applications, 8th edition., Pearson/Prentice-Hall.
Homework will be assigned in Lectures as a guide for study but not collected. Two fifty-minute Tests will be given. Five short Quizs will be given on Fridays, and their average score counts the equivalent of one Test. Final Exam counts the equivalent of one Test. Test, quiz and final exam problems come directly from the assigned Homework. The Grade for the course is determined by the best three of these four test scores. Absence from a Test gives a score of 0 for that Test. No excuse from a Test is necessary, and there is no excuse for absence from the Final Exam.Test #1: October 28
Test #2: November 25
Final Exam: Tuesday, December 10, 1200, STAG 211.
SCHEDULE:
Matrices and Systems of Equations
1. Systems of linear equations 1.1: 3, 6a, 6c, 6e, 6g, 7, 9, 11. (09/30)
2. Row echelon form 1.2: 2, 3, 5, 8.
3. Matrix arithmetic 1.3: 2, 4, 9, 10, 14. Quiz #1
4. Matrix algebra 1.4: 3, 4, 5, 7, 13, 15, 17, 18, 19, 21. Matrix product.pdf (10/07)
5. Elementary matrices: 1.5: 2, 3, 5, 9, 10, 11.
6. Review. Quiz #2 on Sections 1.3, 1.4, 1.5.
7. Determinants 2.1: 2, 3, 6, 8, 9; 2.2: 1, 5, 6, 7. (10/14)
Vector Spaces
8. Definition and examples 3.1: 1, 4-10.
9. Subspaces 3.2: 3-5, 7-9, 11-13. Quiz #3
10. Linear independence 3.3: 1, 2, 4-8. (10/21)
11. 3.3: 13-20.
12. Review 1.4, 1.5, 3.2, 3.3.
13. TEST #1: (10/28)
14. Basis and dimension 3.4: 3-10.
15. No Class Today. ReRead Section 3.4.
16. Change of Basis 3.5: 1-5. (11/04)
17. Bases.pdf 3.5: 6, 7, 9, 11.
18. Rows and Columns 3.6: 4-6. Quiz #4
Linear Transformations
19. Definition and examples 4.1: odd 1 - 23, 22. (11/11)
20. Matrix representation 4.2: 1 - 6.
21. Summary.pdf 4.2: 7, 8, 18 - 20. Quiz #5
22. Similarity 4.3: 1 - 8. (11/18)
23. Review 3.5, 4.1, 4.2, 4.3.
Eigenvalues
24. Eigenvalues and eigenvectors 6.1: 1(a-i). (11/21)
25. TEST #2: (11/25)
26. Review.
27. Holiday.
28. Systems of linear differential equations 6.2: 1a-f. (12/02)
29. Diagonalization 6.3: 1-4 and solve y'+Ay=0 for (a), A = (2, -1; -1, 2) and A = (1, -1, 0; -1, 2, -1; 0, -1, 1).
30. Review: Sections and assignments 3.4, 3.5, 4.2, 6.3.