|
Math 317 - Theory of Linear
Algebra
| Time: |
MTThF 10-10:50 |
| Classroom: |
Carver 2 |
| Instructor: |
Dr. Alexander Burstein |
| Office: |
Carver 456 |
| Office Hours: |
MTTh 11-12 (subject to change) or by appointment, or by
email.
I usually check my email several times a day, so you can usually
expect an answer fairly soon, sometimes even late at night or on weekends. |
| Email: |
burstein AT math DOT iastate DOT edu |
| Phone: |
(29)4-7294 |
| Textbook: |
Elementary Linear Algebra, 3rd edition, by
Stephen Andrilli and David Hecker |
| Text Website: |
http://www.sju.edu/~dhecker/linalg.html
(includes Errata
Sheet) |
Syllabus for the
course.
Please read Section 1.3, An Introduction to Proof
Techniques. It will help you better understand not just the material in this
course, but also in post-calculus math courses in general.
Final Grades
Homework
| Chapters |
Topics |
Sections |
Homework Problems |
| 1 |
Vectors
and
Matrices |
1.1
1.2
1.3
1.4
1.5 |
1ab, 3ab, 4ab, 5ab, 6ab, 7acf, 9, 25, 26.
1ab, 5, 6, 7, 10, 11, 12, 15ac, 21, 22, 23.
5, 6a, 7, 8a, 9, 10a, 25.
1, 2ABCDELM, 3ac, 4, 6ab, 8, 9, 10, 11, 14, 15.
1abjk, 2ad, 3ac, 7a, 11(2), 18, 20, 22, 23ace, 27. |
| |
|
HW1 due 2/10: |
1.2.19, 1.2.20, 1.3.12, 1.3.15, 1.5.26. |
| 2 |
Systems of
Linear
Equations |
2.1
2.2
2.3
2.4 |
1aeg, 2ad, 4, 10, 11.
2abc, 3a, 4a, 5, 6a, 7a, 8, 14.
2, 3, 4, 5ac, 8ab, 9ab, 10ab, 15, 22.
1a, 3abe, 4abc, 7a, 8, 15a(1), 16, 21. |
| |
|
HW2 due 2/24: |
2.2.13, 2.3.14 ("explain" means "prove"), 2.4.13,
2.4.18, 2.4.19. |
| |
Midterm 1 |
Friday, 2/17,
in class |
Chapters 1-2 |
| 3 |
Determinants
and
Eigenvalues |
3.1
3.2
3.3
3.4 |
1adegij, 2ac, 3ac, 5ab, 7, 8, 9a, 11a, 16a, 18.
1acf, 2ace, 3a, 4a, 5, 7, 16.
2ac, 3a, 4a, 5, 6a, 7a, 8, 22.
1ac, 2ac, 3ac, 4acd, 6, 7a, 10, 13, 16, 18, 19, 24. |
| |
|
HW3 due 3/24: |
3.2.14, 3.3.21, 3.4.10, 3.4.11. |
| 4 |
Finite-Dimensional
Vector Spaces |
4.1
4.2
4.3
4.4
4.5
4.6
4.7 |
3, 5-8, 20.
1abcefgijl, 2abcdfg, 3acdeg, 4, 6, 11, 15, 17, 22.
1ac, 2ac, 3ac, 4, 6, 7, 28.
1, 2ab, 3ac, 5, 11ace, 12, 19, 27, 28.
1c, 2, 3, 4ace, 5, 7, 12, 15, 16, 17, 25.
1ad, 2, 3, 4aeh, 5acde, 6ac, 7a, 13, 15, 16, 18, 20.
1acefhi, 2acd, 7a, 8, 9, 10, 15. |
| |
|
HW4 due 4/14: |
4.1.14, 4.2.19, 4.3.26, 4.4.20, 4.5.13, 4.6.13. Extra:
4.5.16. |
| |
Midterm 2 |
Friday, 4/7,
in class |
Chapters 3-4 |
| 5 |
Linear
Transformations |
5.1
5.2
5.3
5.5 |
1abefghjil, 2, 7, 14, 16, 17, 23, 31, 34, 36.
2ac, 3ace, 6ab, 9a, 14, 23, 31. Recall we proved 17, 18, 21.
1, 2ac, 3ad, 4adf, 5, 7, 8, 12, 13, 15, 16, 20.
1acd, 2bde, 7, 10, 14, 17. |
| 6 |
Orthogonality |
6.1
6.2 |
1abcdef, 2ace, 3, 4ac, 5a, 9, 10, 11, 12, 18, 21.
2, 4abc, 5, 10, 11, 12, 25. |
| |
Final Exam |
Monday, 5/1, 9:45-11:45 |
Chapters 5-6 (mostly), some earlier material may be included as
well |
|