Syllabus for Abstract Algebra -- Math 321
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

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