### Spring 2012, Math 506

Class: MWF 8:40-9:30, MG 124

Instructor: Dr. Zach Teitler
Office: MG 220B
Phone: 208-426-1086
E-mail: zteitler@boisestate.edu
Office hours: MTW 10:40-11:30 (subject to change) and by appointment

Syllabus: pdf, html

Textbook: Abstract Algebra: Theory and Applications by Tom Judson
The book may be purchased for about \$20 (cheaper than home printing!) from Amazon.

The website from the Fall 2011 course links to a number of resources, including articles and web sites.

Important dates:

• Tue, Jan 17: First day of classes
• Mon, Jan 30: Last day to add classes or drop classes without a W
• Mon, Feb 20: President's Day holiday (no classes, university offices closed)
• Mon, Feb 27: Last day to drop classes with a W
• Mar 26-30: Spring Vacation (no classes)
• Fri, May 4: Last day of classes

Weekly schedule: pdf, html
This file shows the tentative week-by-week plan for the semester. It is intended to help you plan your studying, and to let you know where the class is going. I hope it is helpful, however please keep in mind that this plan may change without warning.

Homework:
Assigned date Assignment Assigned problems Due date
Wed, 1/18/12 1 Ch. 16 # 1, 3, 7 or 10, 11, 17, 18, 29 or 34 Wed, 1/25/12
Wed, 1/25/12 2 Ch. 16 # 4abe, 5, 8, 12, 13ab, 26, 28, 35 or 38
(For #35, show the set is closed under addition and multiplication; since the operations are inherited from Q, the associativity and distributive laws hold automatically and don't need to be shown.)
(For #38, the set is closed under addition and multiplication by definition; show that the associative and distributive laws hold.)
Wed, 2/1/12
Wed, 2/1/12 3 See the attached PDF (and LaTex source). Assigned problems include Judson, Ch. 16 #37 and Ch. 17 #2ab, 3ab, 4ab, 5ab, 14, and additional exercises.
Solution to computation problems
Wed, 2/8/12
Wed, 2/8/12 4 See the attached PDF (and LaTex source). Wed, 2/15/12
Wed, 2/15/12 5 See the attached PDF (and LaTex source). Fri, 2/24/12
Fri, 2/24/12 6 See the attached PDF (and LaTex source). Wed, 3/7/12
Fri, 2/24/12 7 See the attached PDF (and LaTex source). Wed, 3/14/12
Wed, 3/14/12 8 Ch. 22 # 1-4, 6, 8, 12, 20, 22, 23
Ch. 23 # 2
Wed, 4/4/12
Wed, 4/4/12 9 Ch. 22 # 15 (note, 0 is a square). Can every rational number be written as a sum of two squares?
Do at least one part each of Ch. 23 #4, 5
Ch. 23 # 6, 7, either 8 or 10, and 22
Wed, 4/11/12

Handouts:

1. A useful identity (rationalization of cubic irrationalities)
(LaTex source file)
2. Minimal polynomial (some thoughts on showing a given polynomial is actually a minimal polynomial)
(LaTex source file)