Math 317, Abstract Algebra, Spring 2003

Meetings:
in 243 Altgeld Hall, MWF at 10am (sect C1).
Web address:
This syllabus is available online at
http://torus.math.uiuc.edu/jms/m317/
and course news will be posted as appropriate.
Professor:
John M. Sullivan, jms@uiuc.edu, 326 Illini Hall,
244-5930 (with answering machine); mailbox in 250 Altgeld.
Grader:
Ngin-Tee Koh, nkoh@math.uiuc.edu.
Office hours:
Mon 4:30-5:30, Tues 4:30-5:30, or by appointment.
Textbook:
Algebra: Pure and Applied, Aigli Papantonopoulou (Prentice Hall, 2002).
Prerequisites:
The official prerequisite is Math 247 and 315; in practice, we simply require a certain amount of mathematical maturity and willingness to think abstractly.
Homework:
There will be weekly homework assignments, due on Wednesdays, usually with problems assigned from the textbook. The homework counts for about 30% of the course grade. No late homework will be accepted. Your two lowest homework scores will be dropped.
Exams:
There will be two hour-tests on Fridays in class. These will be on Feb 28 and Apr 11; the exact material covered on each will be announced later. These tests together count for about 40% of your grade. The final exam covers the entire course, and counts for about 30% of the course grade. The final exam will be 8-11am Tue 13 May.
Outline:
This course introduces abstract algebra through the theory of groups and rings. Groups are a mathematical expression of how symmetries relate. Rings generalize the familiar arithmetic operations on integers. We will consider applications of these ideas, including to cryptography.