Syllabus for Abstract Algebra -- Math 321
Fall 2002
last modified November 14, 2002

 Monday Wednesday Friday 9/2 9/4 Welcome and Introduction 9/6 Ch. 0: Preliminaries Ch. 0: Preliminaries 9/9 Ch. 1: Intro to Groups 9/11 Finish Ch. 1, Begin Ch. 2 9/13 Ch. 2: Groups (Showing a set is not a group) (Defining a group, examples Lottery to adopt groups of a Group) PS 1 (Individual) Due 9/16 Ch. 2: Groups 9/18 Ch. 3: Finite Gps; Subgps 9/20 Ch. 3: Finite Gps; Subgps (Elementary Properties (Finite gps, intro to subgps) Short paper on gp due of a Group) PS 2 (Group) due (verify it is a group) 9/23 Ch. 3: Finite Gps; Subgps 9/25 Ch. 4: Cyclic Groups 9/27 Ch. 4: Cyclic Groups (Types of subgroups) (Properties of powers) (Properties of Cyclic Groups) PS 3 (Individual) due 9/30 Ch. 4: Cyclic Groups 10/2 Ch. 5: Permutation Groups 10/4 Ch. 5: Permutation Groups (Subgroups of Cyclic Groups) (Definitions and notations) (Properties of Permutations) Hand out Take Home Exam 1 Turn in Take Home Ex 1 10/7 Ch. 5: Permutation Groups 10/9 Ch. 5: Permutation Groups 10/11 Ch. 6: Isomorphisms (More Properties of Permutations) PS 4 (Group) due (Examples, Cayleys Theorem) 10/14 Fall Break 10/16 Ch. 6: Isomorphisms 10/18 Ch. 6: Isomorphisms (Properties of Isomorphisms) Short paper on gp due PS 5 (Individual) due 10/21 Review/ In Class Work 10/23 Ch. 7: Cosets & Lagrange's 10/25 Chapter 7: Cosets & Lagrange's PS 6 (Group) due (Really Understanding Cosets) 10/28 Ch. 7: Cosets & Lagrange's Thm 10/30 Review/In Class Work 11/1 Peer Review of Rough Drafts PS 7 (Individual) due 11/4 Ch. 8: External Direct Products 11/6 Ch. 8: External Direct Products 11/8 Ch. 8: External Direct Products (Properties, Examples) (In Class Work) (Applications to Cryptography) Hand out Take-Home Exam 2 11/11 Ch. 9: Normal Subgroups & 11/13 Ch. 9: Normal Subgroups and 11/15 Ch. 9: Normal Subgroups & Factor Groups (Define Normal) Factor Groups (Define Factor Groups) Factor Gps Turn in Take Home Ex 2 PS 8 (Group) due 11/18 Ch. 9: Factor Gps 11/20 Ch. 27: Symmetry Groups 11/22 Ch. 27: Symmetry Groups rewrite on PS 7 2nd draft due (to me) 11/25 Ch. 27: Symmetry Groups 11/27 Thanksgiving Break 11/29 Thanksgiving Break PS 9 (Individual) due 12/2 Ch. 28: Frieze Groups and 12/4 Ch. 28: Frieze Groups and 12/6 Ch. 28: Frieze Groups and Crystallographic Groups Crystallographic Groups Crystallographic Groups PS 10 (Group) due 12/9 Ch. 28: Frieze Groups and 12/11 Informal Discussion of Groups 12/13 Informal Discussion of Groups Crystallographic Groups Receive take-home final Final draft of paper due 12/16 12/18 Final due 5pm 12/20 Note: The 3rd Annual Norman W. Johnson Lecture is scheduled for Thursday November 7th. It will be given by Don Saari, who among other things recently chaired the U.S. delegation to the general assembly of the International Congress of Mathematicians in Beijing, where the Fields medal is awarded.

Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 109
Norton, Massachusetts 02766-0930
TEL (508) 286-3973
FAX (508) 285-8278
jsklensk@wheatonma.edu

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