| Instructor | Keith Conrad | ||||
| kconrad at math dot uconn dot edu. (When you send an email message, please identify yourself at the end.) | |||||
| Office hours | MSB 318; M 1−2, Th 2−3 | ||||
| Course info |
|
||||
| Text | Abstract Algebra, 3-rd ed. (Wiley), by Dummit and Foote. We'll cover most of Parts III and IV and some of V or VI. An errata list for the book is at Foote's website. | ||||
Course handouts
Non-free
stably free
modules
The Artin−Schreier theorem
Linear Independence of characters
Trace and Norm
Cyclotomic extensions
C is algebraically closed
The Galois correspondence (revised)
Zorn's lemma II
Zorn's lemma I
Algebraic Closures
Separability
(revised)
Roots and Irreducible Polynomials
(revised)
Universal Identities
Characters of finite abelian groups
Exterior Powers
Bilinear Forms
Dual Modules
Dimension
Links
Notes on Fields and Galois theory
at the website of
Milne.
A discussion of
tensor
products by Gowers.
Recent Announcements
5/5: The course is over.
Brief course description: This course, a continuation of Math 315, will treat modules, linear algebra, Galois theory, and selected topics in commutative algebra or representation theory.
Prerequisites: Math 315. In particular, you are expected to be comfortable with the basic theory of groups and rings.
Course grade: This will be based on the following weighting:
Homework: Homework assignments will be posted on the bottom of this web. Due dates will be marked on each assignment. No late homeworks will be accepted.Exams: There will be 1 midterm and a final.
- Computational homework problems should present a complete calculation, starting with the data of the problem. Do not just give the answer.
- There are no makeup exams. If you miss the midterm, the midterm grade is 0.
- If you need exam accomodations based on a documented disability, you need to speak with both the Center for Student Disabilities and the course instructor within the first two weeks of the semester.
| Due Week of | Homework Assignment |
| 1. Jan. 16
|
|
| 2. Jan. 23
|
|
| 3. Jan. 30
|
|
| 4. Feb. 6 |
|
| 5. Feb. 13
|
|
| 6. Feb. 20
|
|
| 7. Feb. 27
|
|
| 8. Mar. 6 |
Spring break
|
| 9. Mar. 13
|
|
| 10. Mar. 20 |
|
| 11. Mar. 27
|
|
| 12. Apr. 3
|
|
| 13. Apr. 10
|
|
| 14. Apr. 17 |
|
| 15. Apr. 24
|
|
