Course Materials
Exams
Below are links to each exam.
- Exam 1 (in-class) (PDF)
- Solutions to Exam 1 (in-class) (PDF). Note that in some cases I’ve opted to provide a solution that I thought would be easiest to understand, but may not be the most elegant.
- Exam 1 (take-home) (PDF). If you are interested in using LaTeX to type up your solutions, then you can obtain the .tex file for the exam here. (Due Monday, October 19)
- Exam 2 (take-home) (PDF). If you are interested in using LaTeX to type up your solutions, then you can obtain the .tex file for the exam here. (Due Friday, December 4 by 5pm)
Ring Theory Notes
I’ll post notes about rings here as they become available.
- Introduction to Rings: Definitions and Examples (PDF)
- Ideals and Quotient Rings (PDF)
- Maximal and Prime Ideals (PDF)
- Rings of Fractions (PDF)
- Principal Ideal Domains (PDF)
Free Abstract Algebra Textbooks
Here is a list of free abstract algebra texts that you may use as an additional resource. If you find one of these more helpful than another, please let me know. Also, if you know of other resources, please let me know.
- An Inquiry-Based Approach to Abstract Algebra is a set of IBL course materials that I wrote for an abstract algebra course that emphasizes visualization and incorporates technology.
- Abstract Algebra: Theory and Applications by Tom Judson (Stephen F. Austin University).
- Essential Group Theory by Michael Batty (University of Durham).
- Group Theory: Birdtracks, Lie’s, and Exceptional Groups by Predrag Cvitanović (Georgia Tech).