Fall 2008
(Last modified: Wednesday, October 22, 2008, 2:47 PM )
| This syllabus is, of course, tentative! | |||||
| Monday | Wednesday | Friday | |||
| 8/25 | 8/27 | Welcome and Introduction | 8/29 | Ch.1: Symmetries of a Square | |
| Ch. 1: Symmetries of a Square | Ch.0: Facts about Integrers | ||||
| 9/1 | Labor Day | 9/3 | Ch.0: Preliminaries | 9/5 | Ch. 2: Defining a group, |
| Adopt groups | Examples of groups | ||||
| PS 1 (Group) Due | |||||
| 9/8 | Ch. 2: Examples of Groups, | 9/10 | Ch. 2: Properties of | 9/12 | Ch. 3: Subgroups |
| Groups | Rewrite of PS 1 due | ||||
| Ch. 3: Order of a Group | Discussion of adopted groups | ||||
| Short paper on gp due | |||||
| Ch0&1 defs and thms due | PS 2 (Individual) due | (verify it is a group) | |||
| 9/15 | Ch. 3: Subgroup Tests | 9/17 | Ch. 3: Centers, Centralizers | 9/19 | Ch.4: Intro to Cyclic Groups |
| Classifying all groups of order 4 | |||||
| Ch.2 def'ns and thms due | PS 3 (Group) due | Rewrite of PS 2 due | |||
| 9/22 | Ch. 4: Fund. Thm of Cyclic Gps | 9/24 | Ch. 4: More on the FToCG | 9/26 | Ch. 5: Permutation Groups |
| Ch. 3 def'ns and thms due | What the FToCG does for us! | ||||
| Hand out Take-Home Ex 1 | Turn in Take-Home Ex 1 | ||||
| 9/29 | Ch. 5: Even & Odd Permutations | 10/1 | Ch. 5: Working with Symmetric Groups | 10/3 | Ch. 6: Define Isomorphisms |
| Alternating groups | Ch. 6: Intro to isomorphisms | Examples of isomorphisms | |||
| Ch. 4 def'ns and thms due | PS 4 (Group) due | Rewrite of PS 3 due | |||
| 10/6 | Ch. 6: Properties of Isomorphisms | 10/8 | Ch. 6: Automorphisms | 10/10 | Ch. 7: Define cosets |
| Rewrite of PS 4 due | |||||
| Ch. 5 def'ns and thms due | PS 5 (Individual) due | Deadline-1st adopted group mtg | |||
| 10/13 | Fall Break | 10/15 | Ch. 7: LaGrange's Theorem | 10/17 | Ch. 7: Consequences of |
| LaGrange's Theorem; | |||||
| Discussion of your gp | |||||
| Short paper on group due | |||||
| Ch. 6 def'ns and thms due | (Interesting/confusing aspects) | ||||
| 10/20 | Ch. 7: Consequences of | 10/22 | Ch. 8: External Dir. Products | 10/24 | Ch. 9: Define Normal Subgp |
| LaGrange's Theorem; | |||||
| Ch.7 def'ns and thms due | PS 6 (Group) due | Rewrite of PS 5 due | |||
| 10/27 | Ch. 9: Test for Normality | 10/29 | Ch. 9: Define Factor | 10/31 | Ch. 9: Work with Factor |
| Groups | Groups | ||||
| Ch.8 defs & thms due | |||||
| Hand out Take-Home Ex2 | Turn in Take Home Ex 2 | ||||
| 11/3 | Ch. 9: Factor groups | 11/5 | Ch.10: Intro to Homomorphisms | 11/7 | Ch. 10: More properties of |
| A few properties; kernels | Homomorphisms | ||||
| Rewrite of PS 6 due | |||||
| Ch.9 def'ns & thms (pt 1) | PS 7 (Group) due | Deadline-2nd adopted group mtg | |||
| 11/10 | Ch. 10: Kernels & The first | 11/12 | Peer Review of Papers | 11/14 | Ch. 11: Examples using the |
| isomorphism Thm | Ch. 10: Using the 1st | Fundamental Thm | |||
| Ch. 11: Fund. Thm of Abelian Gps | Isomorphism Theorem | ||||
| Ch.9 (pt 2), Ch.10 defn's & thms | |||||
| 1st draft of project due (to peer) | PS 8 (Individual) due | 2nd draft due (to me) | |||
| 11/17 | Ch. 11: Fundamental | 11/19 | Ch. 12: Rings, more on the | 11/21 | Ch.13: Integral Domains |
| Thm of Abelian Groups | rules of multiplication | ||||
| Ch. 12: Intro to Rings | |||||
| Ch. 11 defs & thms due | |||||
| Rewrite of PS 7 due | PS 9 (Group) due | Rewrite of PS 8 due | |||
| 11/24 | Ch. 14: Ideals | 11/26 | Thanksgiving Break | 11/28 | Thanksgiving Break |
| Final Draft due | |||||
| 12/1 | Ch.14: More on Ideals | 12/3 | Ch. 14: Ideals & Factor Rings | 12/5 | Ch. 14: More on Factor Rings |
| Ch. 15: Maximal and Prime Ideals | |||||
| Ch.12, 13, 14 defs & thms due | PS 10 (Individual or Group) due | ||||
| Paper exchange! | Rewrite of PS 9 due | Hand out Final | |||
| The Final will be due at 4:00pm on Friday 12/12. | |||||
| This year's Norman W. Johnson lecture is Thursay October 2, at 5:30pm. | |||||
Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 101A
Norton, Massachusetts 02766-0930
TEL (508) 286-3973
FAX (508) 285-8278
jsklensk@wheatonma.edu