Math 4281 Homepage
MWF, 13:25-14:15, VinH113, 06sep17--13dec17
University of Minnesota,
Twin Cities Campus
Last update: Thursday, September 21, 2017
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.
Contact information for the instructor
- Prof. Greg W. Anderson (name)
- School of Mathematics,
University of Minnesota, Mpls., MN 55455, U.S.A.
- Vincent Hall 460 (office)
- (612)625-9524 (phone)
- firstname.lastname@example.org (email)
- Office hours: MW 2:30-4:30 (except Monday, Nov. 6)
- These times might be adjusted if needed to accommodate more students.
- 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.)
- 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.)
The fine print
- 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.