Contact
cdoneill «at» sdsu.edu
GMCS Building, Room 570
Math & Stats Department
San Diego State University
5500 Campanile Dr
San Diego, CA 92182
U.S.A.
Math 620: Groups, Rings, and Fields (Fall 2021)
Lectures: TTh 4:00pm - 5:15pm, EBA 256
Final exam: Tuesday, December 14th, 3:30pm - 5:30pm
Textbooks: Abstract Algebra - An Introduction, 3rd Edition, by Thomas Hungerford (optional),
Abstract Algebra, 3rd Edition, by David Dummit and Richard Foote (optional).
As described in the course catalog, this course covers group theory (to include finite Abelian groups, isomorphism theorems, matrix groups, and permutation groups), ring theory (to include ideals, principal ideal domains, and unique factorization), and field theory (to include field extensions and finite fields).
Announcements
August 18, 2021: Course webpage has been created.
August 18, 2021: A syllabus and lecture schedule have been uploaded.
August 20, 2021: The lecture schedule has been updated.
August 21, 2021: The office hours have been updated, including on the syllabus.
August 26, 2021: The office hours have been updated, including on the syllabus.
September 20, 2021: The office hours have been updated, including on the syllabus.
October 1, 2021: The office hours have been updated, including on the syllabus.
Resources
The course syllabus.
A tentative day-by-day schedule (subject to change without notice).
Homework
There will be one homework assignment given each week, usually assigned on Thursday and due in class the following Thursday. There will also be one preliminary assignment given each week, usually assigned on Tuesday after class and due in class on Thursday.
I will post links to homework assignments here. If you have questions about course material, do not hesistate to ask me in/before/after class, stop by my office hours, or email me.
Preliminary Assignment 1, due Thursday, August 26, 2021.
Homework Assignment 1 (and an optional LaTeX template), due Thursday, September 2, 2021.
Preliminary Assignment 2, due Thursday, September 2, 2021.
Homework Assignment 2 (and an optional LaTeX template), due Thursday, September 9, 2021.
Preliminary Assignment 3, due Thursday, September 9, 2021.
Homework Assignment 3 (and an optional LaTeX template), due Thursday, September 16, 2021.
Preliminary Assignment 4, due Thursday, September 16, 2021.
Homework Assignment 4 (and an optional LaTeX template), due Thursday, September 23, 2021.
Preliminary Assignment 5, due Thursday, September 23, 2021.
Homework Assignment 5 (and an optional LaTeX template), due Thursday, September 30, 2021.
Preliminary Assignment 6, due Thursday, September 30, 2021.
Homework Assignment 6 (and an optional LaTeX template), due Thursday, October 7, 2021.
Preliminary Assignment 7, due Thursday, October 7, 2021.
Homework Assignment 7 (and an optional LaTeX template), due Thursday, October 14, 2021.
Homework Assignment 8 (and an optional LaTeX template), due Thursday, October 21, 2021.
Preliminary Assignment 9, due Thursday, October 21, 2021.
Homework Assignment 9 (and an optional LaTeX template), due Thursday, October 28, 2021.
Homework Assignment 10 (and an optional LaTeX template), due Thursday, November 4, 2021.
Preliminary Assignment 11, due Thursday, November 4, 2021.
Homework Assignment 11 (and an optional LaTeX template), due Thursday, November 18, 2021.
Homework Assignment 13 (and an optional LaTeX template), due Tuesday, November 23, 2021.
Preliminary Assignment 15, due Thursday, December 2, 2021.
Homework Assignment 15 (and an optional LaTeX template), due Friday, December 10, 2021.