Syllabus |

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**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,**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
- 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.