Math 325 Algebraic Structures I (Spring 2002-Allegheny College)
In mathematics you don't understand things. You just get used to them.
-- John von Neumann, Nobel Prize winner.
- Time and Place: MWF 2:30 p.m. at Carr 223
- Instructor: Peter Saveliev (call me Peter)
- Office: Carr 239 (to the right of the main entrance)
- Office Hours: Monday 3:30-5:00, Tuesday 10:00-11:00, Wednesday 10:00-11:00, Thursday 2:30-5:30, or by appointment, or any time I am there (see my complete schedule)
- Office Phone: x2910
- Home Phone: 337-0390 (9 a.m. - 8 p.m.)
- E-mail: psavelie (put Math 325 as the subject)
- Class Web-Page: http:\\saveliev.net, then go to Math 325
- Mailbox: Carr Hall, Box 29
- Prerequisites: good knowledge of Linear Algebra, both techniques and proofs.
- Text: A First Course in Abstract Algebra by John B. Fraleigh. Chapters: 1. Groups and subgroups, 2. More groups and cosets, 3. Homomorphisms and factorgroups, 5. Introduction to rings and fields.
- Goals: good familiarity with groups, ability to work in the definition-theorem-proof format, some "mathematical maturity".
- Group Problems: due weekly, each Friday unless specified otherwise
- Quizzes: based on the practice problems assigned daily, once a week
- Grade Breakdown: TOTAL=.3*HW+.2*(E1+E2)+.3*FINAL
group problems + quizzes: 30% (1-2 may be dropped)
2 exams: 20% each
final exam: 30%
- Letter Grades: A: 90-100, B: 80-89, C: 70-79, D: 60-69, F: <60
From the Catalogue:
325 Algebraic Structures I
Introduces the notion of an algebraic structure by concentrating on the simplest such structure, that of a group. Rings and fields are also discussed. Prerequisite: Mathematics 205, 320, or permission of instructor.
Assignment #1 (10 points):
- From the Mathematics department web page follow -> Faculty -> Peter Saveliev -> Personal Page -> click on Math 325. Or type saveliev.net, then go to the class page. Bookmark it! Or even better, create your own web-page with a link to the class page. This way you can get there quickly from any computer.
- Read the Policy.
- Fill in the form under Students.
- Try to set up a group (3-4 members) by next Friday, then e-mail the list to me. If you don't you'll be assigned to a group at random.
- Visit my office during the next two weeks to introduce yourself.