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.

**Instructor**: Jeff Thunder**Office**: WH 362**Phone**: 753-6761**e-mail**: jthunder@math.niu.edu**Office Hours**: Monday, Wednesday, Friday, 9:00-9:50 a.m. or by appointment.

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.

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.

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.

- First homework assignment
- Second homework assignment
- Third homework assignment
- For the fourth homework assignment, do exercises 28, 29 on page 46 and exercise 43 parts a and b on page 52. Also, determine how the prime 17 splits in the field you get by adjoining a square root of 11 to the rational numbers.
- Fifth homework assignment
- Sixth homework assignment
- Seventh homework assignment
- Eighth homework assignment
- Ninth homework assignment

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.

Last update: April 27, 2012