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)

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)

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).

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MAT 411: Abstract Algebra

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Flagstaff and NAU sit at the base of the San Francisco Peaks, on homelands sacred to Native Americans throughout the region. The Peaks, which includes Humphreys Peak (12,633 feet), the highest point in Arizona, have religious significance to several Native American tribes. In particular, the Peaks form the Diné (Navajo) sacred mountain of the west, called Dook'o'oosłííd, which means "the summit that never melts". The Hopi name for the Peaks is Nuva'tukya'ovi, which translates to "place-of-snow-on-the-very-top". The land in the the area surrounding Flagstaff is the ancestral homeland of the Hopi, Ndee/Nnēē (Western Apache), Yavapai, A:shiwi (Zuni Pueblo), and Diné (Navajo). We honor their past, present, and future generations, who have lived here for millennia and will forever call this place home.