(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. | ||||||||

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