Registration for Winter term opens Thursday, November 17, 2016.
This page was last updated: .
The second term of Math 5 will be devoted to the study of rings and modules; this includes some linear algebra. The material corresponds roughly to Chapters 7 through 12 in the text for the course, Abstract Algebra by Dummit and Foote. High points include the proof of unique factorization in principal ideal domains and the description of finitely generated modules over principal ideal domains.
PROFESSOR OF MATHEMATICS
EXECUTIVE OFFICER FOR MATHEMATICS
Monday at 1:30pm in 262 Sloan Laboratory (EM)
Wednesday at noon in 382 Sloan Laboratory (XX)
Grading: Roughly 40% Homework, 30% Midterm, and 30% Final.
Homework Policy: Students may work together on homework as long as each student writes up their own homework in their own words.
In solving homework problems you will wish to quote theorems and lemmas from class and the text. Results from the text in sections not yet covered cannot be quoted unless you supply your own proof. The same holds for results from other texts not covered in class.
Many of the problems which will be assigned this year in Math 5, also were assigned in previous years. Do not consult old solution sets in working on this years homework.
At most one late homework set will be accepted, and except in unusual circumstances, only if arrangements have been made with me in advance. Other than in exceptional circumstances, homework will not be accepted more than a week after the deadline.
Introduction to Rings, Euclidean Domains, Principal Ideal Domains, and Unique Factorization Domains, Polynomial Rings.
Introduction to Modules, Vector spaces, Modules over Principal Ideal Domains.
|Syllabus||This is a short description of each lectures and shall be updated weekly.|
|Midterm Review Notes|
|Final Review Notes|
|Modules over PIDs|
Due on Fridays at noon
|01/13||Set 1||Set 1 Solutions|
|01/20||Set 2||Set 2 Solutions|
|01/27||Set 3||Set 3 Solutions|
|02/03||Set 4||Set 4 Solutions|
|02/10 at 10am||Midterm (see below)|
|02/17||Set 5||Set 5 Solutions|
|02/24||Set 6||Set 6 Solutions|
|03/03||Set 7||Set 7 Solutions|
|03/10||Set 8||Set 8 Solutions|
|03/16 at 10am||Final (see below)|
Midterm exam was posted on Friday, February 3rd. An email was sent out with a link to the exam. If you have not received the email please contact PMA Undergraduate Student Affairs Administrator Meagan Heirwegh.
The midterm is due back by 10am on Friday February 10, 2017.
The final exam is due back by 10am on Thursday, March 16, 2017.