Fall 2010
(Last modified: Tuesday, November 9, 2010, 12:20 PM )
| This syllabus is, of course, tentative! | ||||||||
| Monday | Wednesday | Friday | ||||||
| 8/30 | 9/1 | Welcome and Introduction | 9/3 | Ch.1: Symmetries of a Square | ||||
| Ch. 1: Symmetries of a Square | Ch.0: Facts about Integrers | |||||||
| 9/6 | Labor Day | 9/8 | Ch.0: Preliminaries | 9/10 | Ch. 2: Defining a group, | |||
| Adopt groups | Examples of groups | |||||||
| PS 1 (Group) Due | ||||||||
| 9/13 | Ch. 2: Examples of Groups, | 9/15 | Ch. 2: Properties of | 9/17 | 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) | ||||||
| 9/20 | Ch. 3: Subgroup Tests | 9/22 | Ch. 3: Cyclic subgroups, | 9/24 | Ch.4: Intro to Cyclic Groups | |||
| Centers, Centralizers | Classifying all groups of order 4 | |||||||
| Ch.2 def'ns and thms due | PS 3 (Group) due | Rewrite of PS 2 due | ||||||
| 9/27 | Ch. 4: Fund. Thm of Cyclic Gps | 9/29 | Ch. 4: More on the FToCG | 10/1 | 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 | |||||||
| 10/4 | Ch. 5: Even & Odd Permutations | 10/6 | Ch. 5: Working with Symmetric Groups | 10/8 | Ch. 6: Define Isomorphisms | |||
| Alternating groups | Ch. 6: Intro to isomorphisms | Examples of isomorphisms | ||||||
| Rewrite of PS 3 due | ||||||||
| Ch. 4 def'ns and thms due | PS 4 (Group) due | Deadline-1st adopted group mtg | ||||||
| 10/11 | Fall Break | 10/13 | Ch. 6: Properties of Isomorphisms | 10/15 | Cancelled- illness | |||
| Ch. 5 def'ns and thms due | Rewrite of PS 4 due | |||||||
| 10/18 | Ch. 6: Automorphisms | 10/20 | Ch. 6: Automorphisms | 10/22 | Ch. 7: Cosets | |||
| Ch. 7: Define Cosets | ||||||||
| Discussion of your gp | ||||||||
| PS 5 (Individual) due | Short paper on group due | |||||||
| Ch. 6 def'ns and thms due | (Interesting/confusing aspects) | |||||||
| 10/25 | Ch. 7: Cosets | 10/27 | Ch. 7: Consequences of | 10/29 | Ch. 7: More consequences | |||
| Lagrange's Theorem | of Lagrange's Theorem | |||||||
| Ch.7 def'ns and thms due | PS 6 (Group) due | Rewrite of PS 5 due | ||||||
| 11/1 | Ch. 8: External | 11/3 | Ch. 9: Define Normal | 11/5 | Work on Take-Home Exam | |||
| Direct Products | Subgroups | |||||||
| Ch.8 defs & thms due | ||||||||
| Hand out Take-Home Ex2 | Turn in Take Home Ex 2 | |||||||
| 11/8 | Ch. 9: Test | 11/10 | Ch. 9: Factor | 11/12 | Ch. 9: Factor Groups | |||
| for Normality | Groups | |||||||
| Rewrite of PS 6 due | ||||||||
| PS 7 (Group) due | Deadline-2nd adopted group mtg | |||||||
| 11/15 | Chapter 10: Intro to Homo- | 11/17 | Ch. 10: Kernels; More | 11/19 | Ch. 10: Kernels & the 1st | |||
| morphisms, Properties | properties of | Isomorphism Theorem | ||||||
| Ch.9 defn's & thms | homomorphisms | |||||||
| Deadline-2nd adopted group mtg | PS 8 (Individual) due | 1st draft of project due (to peer) | ||||||
| 11/22 | Ch. 11: Fundamental | 12/1 | Thanksgiving Break | 12/3 | Thanksgiving Break | |||
| Thm of Abelian Gps | ||||||||
| Ch.10 def'ns and thms due | ||||||||
| Peer Review of Papers | ||||||||
| 11/29 | Ch. 11: Examples Using the | 12/1 | Ch. 11: Fundamental | 12/3 | Ch. 12: Rings; More on the | |||
| Fundamental Thm | Thm of Abelian Groups | Rules of Multiplication | ||||||
| Ch. 12: Intro to Rings | ||||||||
| Ch.11 defn's & thms due | PS 9 (Group) due | |||||||
| 12/6 | Ch. 13: Integral Domains | 12/8 | Ch. 14: Ideals | 12/10 | Ch. 14: More on Ideals | |||
| Paper exchange! | ||||||||
| Ch.12, 13, 14 defs & thms due | PS 10 (Individual or Group) due | |||||||
| Final Draft due | Rewrite of PS 9 due | Hand out Final | ||||||
| The Final will be due at 4:00pm on Friday 12/17. | ||||||||
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