92.421-001 ISIS number 8817
92.421-201 ISIS number 8145
92.521-201 ISIS number 8146
Fall 2011
Monday Evenings, 6:30-9:30 PM
Room: FA-300

92.421/521 Abstract Algebra I

Instructor: Prof. Kenneth Levasseur, Dept. of Mathematical Sciences
Office: Olney 428-L, North Campus
Email: Kenneth_Levasseur@uml.edu
Phone: 978-934-2414
Fax: 978-934-3053

Text: Abstract Algebra: Theory and Applications by Thomas W Judson, VCU Mathematics Textbook Series, 1997 (USBN number 978-0982406229). The price of a hardcover copy of the book at the UML Bookstore is $19.95, but it is also available for free online in pdf form at http://abstract.ups.edu/.

Sage and Mathematica. Abstract Algebra is a proof-oriented course, but there are some computational aspects of the course that make it useful to use a computer algebra system. I'll probably use both Sage and Mathematica at different times during the semester. You probably won't need to absolutely have either on your own computer, but both are free. Sage is an open source program and is available at http://sagemath.org. UML students can get Mathematica for their personel computers as part of the campus site license - click here for details.

This is a three credit course. You are expected to attend all classes and are responsible for all the material covered, including reading assignments.

Meeting Dates

September 12, 19, 26
October 3, 17 (hour exam), 24, 31
November 7, 14, 21, 28 (hour exam)
December 5, 12, 19 (final exam)

Attendance: I expect students to attend all classes, but I understand that emergencies and work commitments can get in the way. The classes will be recorded using the Echo Capture system, which will allow you to view any class you miss. Although I will try to make the recordings as useful as possible, I can't guarantee the technology will work in all cases. To view lectures, log in to the Echo Capture site using your UML student email credentials.

Prerequisite for the course

You should have taken either Linear Algebra, Discrete Structures, or an equivalent course, mostly because this is a proof-oriented course.

Coverage

Chapters in the book and pdf, and anticipated coverage. - pdf

Exams, Assignments and Grades

Grading will depend on your section and whether you are taking the course for honors. Grades for graduate and honors students will be based on the following:

For undergraduates not taking the course for honors, the project and oral presentation is optional. Students not opting for that assignment will have their grade based on:

Assignments

Due DateAssignment
Sept 26Assignment 1 - pdf --- Notebook
Oct 3Assignment 2 - pdf --- Notebook
Nov 7Assignment 3 - pdf --- Notebook
Nov 14Assignment 4 - pdf --- Notebook
Nov 21Assignment 5 - pdf --- Notebook
Dec 10Assignment 6 - pdf --- Notebook

Related Links

A few links that I've used in previous semesters, which we may or may not use this time.

Project and oral presentation

A few weeks into the course, I'll discuss possible topics with everyone doing this assignment. Ideally, I'd like to you research an area of abstract algebra that interests you, write a short (~5 pages?) paper describing the topic and present a summary to the class on December 12.

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