Math 421 | Linear Algebra | Fall 2010 |
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**Instructor:**Professor Sullivan**Office:**Neckers 465**E-mail:**Prof.Michael.Sullivan (at) gmail (dot) com**Phone:**453-6517**Classroom:**Wham 303**Time:**12:00-12:50 MWF**Course Webpage:**http://galileo.math.siu.edu/mikesullivan/Courses/421**Office hours:**MWF 10-11.

The primary textbook will be *Linear Algebra*,
4th Edition, by Friedberg, Insel & Spence.

Some supplementary material may come from
*Applied Linear Algebra: The Decoupling Principle* by Sadun,
*Matrices, Theory and Applications* by Serre, or
*Rings Modules and Linear Algebra* by Hartley and Hawkes,

but you will not have to buy these; I will copy any needed material.

The perquisite for Math 421 is Math 221, Introduction to Linear Algebra. You should spend some time reviewing before class starts, especially vector spaces, linear transformations, determinants, eigenvalues and eigenvectors. These are covered in the textbook so I will review some in class, but this material should not be foreign to you. Here is a link to my math 221 web page.

Math 421 is a senior level course and so does assume some familiarity with proofs. You will be expected to read complex proofs and do shorter proofs for homework and on tests.

Grades: Ten homework sets worth 10 points each.

(Links coming)

- Homework assignments
- Test topics
- Project guidelines

Homework assingments (from the textbook unless stated otherwise)

- Set #1: From Vector Spaces: 1.1, 1.8a, 2.1, 2.2, 2.5, 3.1jqsz
- Set #2: 1.4: 2ace, 5abe, 6, 15

1.5: 2deh, 8ab, 20. - Set #3: 1.6: 2ace, 3ac, 4, 5, 8, 10a, 29a, 31a, 33a.

2.1: 2, 6, 10, 14c, 15, 17ab.

2.2: 2ac, 5abcd. - Set #4: 2.2: 6, 7, 9.

2.3: 3ab, 4ab, 9 (use F=R), 11, 13

2.4: 2ace, 3abcd, 6, 7ab. - Set #5:
- Test 1 will likely cover chapters 1 and 2.
- Test 2 will cover chapter 5 and the Det handout. See here.
- Review sheet for final