Math 316 - Spring 2008
Abstract Algebra II


Links:    Recent Announcements     Homework     Grade information

Instructor Keith Conrad
Email kconrad at math dot uconn dot edu. (When you send an email message, please identify yourself at the end.)
Office hours MSB  318; Mon. 1:00-2:00, Wed. 3:30-4:30.
Course info
Lecture T/Th 11:00−12:15 PM, MSB 303.
Midterm:
Final:
 
Text Abstract Algebra, 3-rd ed. (Wiley), by Dummit and Foote. There is a list of errata for the book at Foote's website.
Other references There are notes on Galois theory at the website of Milne.


Course handouts


Dimension

Zorn's Lemma (revised)

Definitions related to rings

The Minimal Polynomial and Some Applications

Dual Modules

A Non-Free Stably Free Module

Universal Identities

Splitting of Short Exact Sequences for Modules

Splitting of Short Exact Sequences for Groups (Optional)

Tensor Products

Tensor Products, II

Exterior Powers

Roots of Irreducible Polynomials

Separability without Tensor Products

Separability with Tensor Products

Perfect Fields

Constructing Algebraic Closures

Galois Correspondence

Applications of Galois Theory


Recent Announcements
1/22: Course begins.


Brief course description: This is the second semester of a year-long course which will prepare graduate students for future work where algebra is needed. In the second semester we will cover topics from linear and multilinear algebra, field extensions, and Galois theory. This corresponds to Parts III and IV in the course text. If time permits, we may discuss commutative algebra (in Part V) or representation theory (in Part VI).

Prerequisites: Math 315 and a basic undergraduate course in linear algebra.

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. All homeworks and exams must be prepared using LaTeX. No late homeworks will be accepted. Exams:  There will be 1 midterm and a final.  



Due Week of Homework Assignment
1. Jan. 21
2. Jan. 28
Avg: 76.1/80

3. Feb. 4
4. Feb. 11
5. Feb. 18
Avg: 88.7/100

6. Feb. 25
7. Mar. 3
Avg: 75.4/100

8. Mar. 10 Spring Break
9. Mar. 17


10. Mar. 24
11. Mar. 31


12. Apr. 7
13. Apr. 14
Avg: 81.1/100

14. Apr. 21


15. Apr. 28
Avg: 87.2/100
16. May 5 Final Exam Week

Credit: I respectfully stole the code for much of this page from Glenn Tesler. Thanks, Glenn!