Office Hours: Mon 15-15:45; Wed 11:30-12:15
LECTURE: MWF 1400 -- 1450 Weniger 149 CRN 10418 Instructor: R.E. Showalter Kidder 286 show@math.oregonstate.edu
Office Hours Tuesday 1200-1350, Dec 7.
Topics: Matrix algebra, determinants, systems of linear equations, computational aspects of eigenvalues and eigenvectors.
Prerequisite: MTH 254.
Textbook: Leon, Linear Algebra with applications, 7th edition., Pearson/Prentice-Hall.
Homework will be assigned in Lectures as a guide for study. Two fifty-minute Tests will be given. Final Exam counts the equivalent of two Tests. The Grade for the course is determined by the best three of these four test scores at 30 points each together with 10 points for homework. 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.Test #1: October 15
Test #2: November 5
Final Exam: Wednesday, December 8, 1200, Weniger 149.
SCHEDULE:
Matrices and Systems of Equations
1. Systems of linear equations: 1.1: 6b, 6d, 6f, 7, 9, 11. (09/27)
2. Row echelon form: 1.2: 2, 3, 5a-f, 8. HMWK: 1.2: 5d (due 10/04)
3. Matrix algebra 1.3: pp. 30-39: 2, 4, 13, 14.
4. Inverse matrix 1.3: pp. 41-49: 10, 13, 15, 16, 18, 19, 22.(10/04)
5. Elementary matrices: 1.4: 2, 3, 9, 10, 11a. HMWK: 1.4: 10h (due 10/11)
6. Review.
7. Determinants 2.1: 2, 3, 6, 8, 9; 2.2: 1, 5, 6, 7. (10/11)
8. Review. HMWK: 2.1: 3d, 3g, 6; 2.2: 7. (due 10/18)
9. TEST #1: (10/15)
Vector Spaces
10. Definition and examples 3.1: 1, 4-10. (10/18)
11. Subspaces 3.2: 3, 5, 8, 11, 12. HMWK 3.1: 10; 3.2: 8, 11.(due 10/25)
12. 3.3 Linear independence pp. 134-139; 3.3: 1, 2a,b,e, 4a,b, 5.
13. 3.3: 6, 13-17. (10/25)
14. Basis and dimension 3.4: 3-10. HMWK: 3.3: 13, 14; 3.4: 3, 5. (due 11/01)
15. Change of Basis 3.5: 1-6.
16. Rows and Columns 3.6: 1, 4-6. (11/01)
17. Review
18. TEST #2: (11/05)
Linear Transformations
19. Definition and examples 4.1: 1 - 5, 13, 16, 17. (11/08)
20. Matrix representation 4.2: 1 - 5. HMWK: 4.1: 16, 17. (due 11/15)
21. 4.2: 6 - 8, 18, 19.
22. Similarity 4.3: 1 - 3. (11/15)
23. Summary.pdf 4.3: 4-8. HMWK due 11/22: 3.5:1a, 3.5:2a, 4.3:1a. Check for consistency.
Eigenvalues
24. Eigenvalues and eigenvectors 6.1: 1(a-i).
25. Diagonalization 6.3: 1-3. (11/22)
26. Holiday.
27. Systems of linear differential equations 6.3: 4-6; 6.2: 1a-f. (11/29)
28. Review
29. Review