Abstract algebra, MA 330-Fall 2011


Instructor: Mark O'Brien, 616 SEO e.mail

Course webpage: http://wwww.markrobrien.com

Required text: None. Will be following class notes. However the student should not be afraid to have back up references!

Course hours: Monday - Wednesday - Friday, 9:00-9:50 AM.

Office hours (Prof. O'Brien): Monday - Wednesday- Friday, 10:30AM-12:00 PM.

Grading Scheme:
Quizes (one per week) - 40%, Homework - 30%, Perfect Problem - 10%, Intangibles - 10%, Maple - 10%

Homework: Homework will be due weekly (at the beginning of class on the due date). Between TA sessions, office hours, and in class questions, there is never any excuse to skip problems. As such if a student skips more than two problems in a given assignment, the student will not get credit for the assignment. No late homework will be accepted, any homework submitted after the deadline will be given zero credit. This is a proofs course. As such any problem done without a single English word will be ignored and will not add to the credit the student gets for the assignment. Students should take care in preparing their assignments. When I get homework assignments that still have the edges on them I assume that the student has ripped out the assignment 5 minutes before class. Which probably means they were doing the assignment 10 minutes before class. Assignments should be neat (I would prefer that each problem be done on a separate page) and stapled.

Quizzes: Quizzes will never be announced. However at least one quiz will be given per week and the material covered in a given quiz will be based on homework that has already been collected (but not necessarily passed back!)

Intangibles: These should be free points. Intangibles include, but are not limited to, class participation, homework presentation, and attendance.

Perfect Problem: Before the end of the semester, each student must submit one assigned homework question typed (preferably done in Latex, but accepted in Word) of a quality that could, in theory, be submitted to a journal for publication (clearly the result is not worthy of publication, but the quality of your write-up should be). This means, in addition to perfect mathematics, there cannot be any typos or grammatical errors.

Maple: Before the end of the semester, the student must demonstrate a basic understanding of the basic maple commands in the 'group' package. For instance, the student should know how to program a group such as A4 into maple and find it's center, etc.


Approximate Weekly Schedule (will be edited as we go):
  • Week 1: Quaternion Arithmatic
  • Week 2: Modular Arithmatic
  • Week 3: Algebraic Systems and Groups (Labor Day)
  • Week 4: Algebraic Systems and Groups (Labor Day)
  • Week 5: Subgroups
  • Week 6: Symmetric Groups
  • Week 7: Homomorphisms
  • Week 8: Homomorphisms
  • Week 9: Generators
  • Week 10: Groups Actions
  • Week 11: Groups Actions
  • Week 12: Lagrange's Theorem
  • Week 13: Sylow's Theorem's