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. | ||||||||