Math Homepage

- http://www.math.umn.edu/~gwanders/Math4281 (URL of this page)
- Prof. Greg W. Anderson maintains this web page.

- The course is an introduction to abstract algebra which is a bit more
"hands-on" than its 5000-level counterpart, e.g., at some point we will use paper-and-tape models.

- Prof. Greg W. Anderson (name)
- School of Mathematics, University of Minnesota, Mpls., MN 55455, U.S.A. (mailing address)
- Vincent Hall 460 (office)
- (612)625-9524 (phone)
- gwanders@umn.edu (email)
- Office hours: MW 2:30-4:30 (except Monday, Nov. 6)
- These times might be adjusted if needed to accommodate more students.

- Tests
- Midterm I: Friday, October 13, 2017 (in class, 50 minutes)
- Midterm II: Friday, November 17, 2017 (in class, 50 minutes)
- Final exam: Monday, December 18, 2017 (8am-10am, location TBA)
- Stay tuned for final exam location.

- Text: Abstract Algebra, A Geometric Approach, by Theodore Shifrin.

- First day handout. This document spells out the rules and regulations for the course. Read it carefully!

- Homework assignments.
Assignments for a given week are finalized by 5pm Monday of that week.
- Typo in Home-made 1 for Week 3 corrected 3:30pm, Wednesday, September 20, 2017.

- Numerical examples of matrix Euclidean algorithm. Posted Sept. 6, 2017.
- Fibonacci-like example discussed in class in Sept. 8, 2017. (I include here some algebra I skipped in class.)
- Some notes about unique factorization from class on Wednesday, September 13, 2017. Maybe this is easier to read than my handwriting.
- Raising to high powers the efficient way.
(Posted September 15, 2017.)
- (Corrected version posted September 17, 2017)

- Complete solution of problem 1 on page 17. (Posted Tuesday, Sept. 19, 2017.)
- 1000000000000066600000000000001=996645234981799^2+81842993518940^2
- The number on the left side is a prime number with its own Wikipedia page.
- The equation is an instance of Fermat's theorem that p=4n+1=>p=a^2+b^2.
- Thanks to Jimmy Broomfield for computer work to get the right side.
- We will eventually discuss the algorithm to get the right side.
- Posted Tuesday, Sept. 19, 2017, originally posted Fall 2014.

- Selected homework solutions for Week 2. (Posted Thursday, September 21, 2017.)

- Dates and deadlines for academic year 2017-18.

- Fundamental University policies concerning grading standards, scholastic conduct, and related matters.

- We will do our best to keep the web page for Math 4281 current. But this web page is not intended to be a substitute for attendance. Students are held responsible for all announcements and all course content delivered in class and in recitation.