Math 109 - Applied Group Theory - Winter 2005

| General Info | Schedule | Announcements & Dates | Homework | Solutions & Handouts |

General Information

Meeting Time Tues.-Thurs., 11:00 - 12:15
Location Cubberley (School of Education), room 128
Professor Ben Brubaker (brubaker@math.stanford.edu)
Office: 382-F (2nd floor, Math building 380)
Office Phone: 3-4507
Office Hours: Monday 11-12:30, Wednesday 11-12:30, or by appointment.
Course
Assistant
Robin Oliver-Jones (roj@math.stanford.edu)
Office: 380-H (Basement, Math building)
Office Hours: Mon., Tues., Fri., 2:30-3:30 pm.
Textbook Groups and Symmetry, by M. A. Armstrong.
Grade
Breakdown
Midterms -- 20 % each, Final Exam -- 35%, Homework -- 25% (15% problem sets, 10% writing assignment)
Course
Content
We will follow Armstrong's book closely and cover most of the sections over the course of the quarter. We'll begin by introducing the notion of a group and then exploring many examples and subtleties of this definition. Some of the topics to be covered include subgroups, permutation groups, matrix groups, Lagrange's theorem, homomorphisms and isomorphisms, and lattice groups. We will conclude by discussing some of the applications of these concepts to physics, chemistry, and number theory. The evolving syllabus will contain further information.
Prerequisites There are essentially no prerequisites for this course. We will build up to most of the more difficult concepts together in lecture. However, a decent background in linear algebra will be useful in dealing with several of our examples. Some familiarity with proofs and abstract mathematical thinking is a bonus, but not a requirement. Several evening supplementary sessions (completely voluntary) at the beginning of the quarter will provide the essential information on proofs and proof techniques for those who are unfamiliar with them.

Announcements & Dates

  • Important Dates
    • Sunday, January 23rd: Add deadline
    • Wednesday, January 26th: Exam 1 (7-8:30 pm)
    • Sunday, January 30th: Drop deadline
    • Wednesday, February 23rd: Exam 2 (7-8:30)
    • Wednesday, March 16th: Take-Home Final Exam Due (Noon)

  • We'll have a review session for Midterm I this Sunday from 8-9 pm in Room 383N (3rd floor, math building).
  • Additional information and important class updates can be found here in the future. Examples of this include selected solutions to homework and exams, notes building on in-class discussions, and important changes to the course guidelines. These will ALWAYS be announced in class as well.
  • Solutions and Handouts