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