Fall 2004
(Last modified: Tuesday, August 24, 2004, 11:35 AM )
| This syllabus is, of course, tentative! | |||||
| Monday | Wednesday | Friday | |||
| 8/30 | 9/1 | Welcome and Introduction | 9/3 | Ch. 0: Preliminaries | |
| Ch. 0: Preliminaries | Ch. 1: Motions on the | ||||
| Square | |||||
| 9/6 | Labor Day | 9/8 | Ch. 2: Cayley Table, D4, Dn | 9/10 | Ch. 2: Defining a group |
| Lottery to adopt groups | |||||
| PS 1 (Individual) Due | Quiz 1 | ||||
| 9/13 | Ch. 2: General Properties | 9/15 | Ch. 3: Order, Subgroups | 9/17 | Subgroup tests |
| of groups | Informal discussion of your gp | ||||
| Short paper on gp due | |||||
| PS 2 (Group) due | (verify it is a group) | ||||
| 9/20 | Ch. 3: Cyclic subgps, center | 9/22 | Ch. 3: More on subgroups | 9/24 | Ch. 4: Generators, |
| centralizer, subgroup | Ch. 4: Intro to cyclic groups | Fund. Thm of Cyclic Gps | |||
| lattice | PS 3 (Individual) due | Quiz 2 | |||
| 9/27 | Ch. 4: Proof of FTCG | 9/29 | Ch. 5: Permutation Groups | 10/1 | Ch. 5: Decomposing |
| PS 4 (Group) due | permutations | ||||
| 10/4 | Ch. 5: Alternating Groups | 10/6 | Ch. 6: Define isomorphism, | 10/8 | Ch. 6: Properties of |
| examples | isomorphisms | ||||
| Receive Take-Home Ex 1 | Turn in Take-Home Ex 1 | ||||
| 10/11 | Fall Break | 10/13 | Ch. 6: Automorphisms | 10/15 | Ch. 7: Define cosets, |
| Properties of cosets | |||||
| PS 5 (Individual) due | |||||
| 10/18 | Ch. 7: Properties of cosets | 10/20 | Ch. 7: LaGrange's Theorem | 10/22 | Ch. 7: Consequences of |
| LaGrange's Theorem | |||||
| Informal discussion of your gp | |||||
| Short paper on gp due | |||||
| PS 6 (Group) due | (Interesting/confusing aspects) | ||||
| 10/25 | Ch. 7: Consequences of | 10/27 | Ch. 7: Orbit-Stabilizer Thm | 10/29 | Ch. 8: External Dir. Products |
| LaGrange's Theorem; | Ch. 8: External Dir. Products | Factor Groups (Definitions) | |||
| orbits, stabilizers | PS 7 (Individual) due | Quiz 3 | |||
| 11/1 | Ch. 8: External Dir. Products | 11/3 | Ch. 9: Test for Normality | 11/5 | Ch. 9: Work with normal |
| Ch. 9: Define Normal Subgp | subgroups | ||||
| Receive Take-Home Ex2 | Turn in Take Home Ex 2 | ||||
| 11/8 | Ch. 9: Define Factor Groups | 11/10 | Ch. 9: Factor Groups | 11/12 | Ch. 9: More on factor groups |
| PS 8 (Group) due | |||||
| 11/15 | Peer Review of 1st | 11/17 | Ch. 27: Symmetry and | 11/19 | Ch. 27: Define symmetry |
| draft of paper on | Isometries | groups | |||
| your adopted group | PS 9 (Individual) due | Quiz 4 | |||
| 11/22 | Ch. 27: Which groups are | 11/24 | Thanksgiving Break | 11/26 | Thanksgiving Break |
| symmetry groups? | |||||
| 2nd draft due (to me) | |||||
| 11/29 | Ch. 27: Rotation group of | 12/1 | Ch. 28: The 7 frieze groups | 12/3 | Ch. 28: The crystallographic |
| cube; finite rotation | groups | ||||
| groups in R3 | PS 10 (Group) due | ||||
| 12/6 | Informal discussion of your | 12/8 | Ch. 28: conclusion | 12/10 | Ch. 29: Symmetry & Counting |
| groups | Ch. 29: Symmetry & Counting | Hand out Final | |||
| Final draft due | PS 11 due | Quiz 5 | |||
| 12/13 | Ch. 29: Symmetry & Counting | 12/15 | 12/17 | ||
| The Final will be due at 2:30pm on Friday 12/17. | |||||
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