MATH 681 Spring 2012

The documents contained herein are all pdf files and require Adobe Acrobat (or something similar) to view them. Go back to the math department's course information page here for more information on how to obtain (for free!) Adobe Acrobat.

Basic Information

Note about Email

Barring some sort of catastrophy, I will be reading my email several times a day. Thus, this is an excellent way to communicate with me outside of the classroom. Please note, however, that I use text-only mail readers, so sending me email encoded in HTML is inconvenient for me to read and sending me stuff like Word documents as attachments is futile. Most email programs will prompt you whether to send mail in HTML or not. Please warn me before-hand if you must send me email with an attachment.

Text and Syllabus

The textbook for the course is Number Fields by Daniel A. Marcus. We will attempt to cover as much of the material from the first seven chapters as is reasonable.

Grading Scale

Grades for section 1 will be based on homework and the final exam. The weights for these are 70% and 30%, respectively.


Homework will be assigned somewhat irregularly; I will generally have one assignment per week. I'll announce assignments (and due dates) in class and also post them to this webpage. You are free to work with other students on the homework; in fact, this is encouraged. Sloppy and/or illegible work will be returned back with no credit! Your homework is something of which you should be proud (notice how I didn't end with a preposition there). Expect to spend lots of time on it.

Homework Assignments


I've TeXed up a compilation of some useful results from algebra (mainly from 620). Read through it and let me know if you are unfamiliar or confused about anything you find.

Here is a TeXed version of our lengthy volume computation regarding the number of principal ideals of bounded norm. Finally, you should look over this writeup dealing with the topological completion of a field with a given absolute value.

Homer does math!

Yes indeed, there's plenty of math humor to be found in the Simpsons. Just look and see!

Last update: April 27, 2012