| Math 402 :: Abstract Algebra // Fall 2006 | ||||||
| Tentative Calendar (UPDATED 10/18/06) | ||||||
| WEEK | DATE | TOPIC | ||||
| I | (M) Aug 28 | Introduction & goals & D_4 | ||||
| (W) Aug 30 | [1] Onward to D_n | |||||
| (F) Sep 1 | [0] Modular Arithmetic | |||||
| II | (M) Sep 4 | Labor Day (no class) | ||||
| (W) Sep 6 | [0] Modular Arithmetic | |||||
| (F) Sep 8 | [2] Groups: Definition & Examples | |||||
| III | (M) Sep 11 | [2]Groups: Basic Properties | ||||
| (W) Sep 13 | [3] Subgroups | |||||
| (F) Sep 15 | [3] Subgroups of Z | |||||
| IV | (M) Sep 18 | [3] The center & other subgroups | ||||
| (W) Sep 20 | [4] Cyclic groups | |||||
| (F) Sep 22 | [4] Cyclic groups, cont. | |||||
| V | (M) Sep 25 | [5] Permutation groups (Sn) | ||||
| (W) Sep 27 | [5] Cycle decompositions for Sn | |||||
| (F) Sep 29 | [5] Odd/Even Permutations | |||||
| VI | (M) Oct 2 | Review | ||||
| (W) Oct 4 | Midterm I | |||||
| (F) Oct 6 | No class: Mid-term break | |||||
| VII | (M) Oct 9 | [6] Isomorphisms. | ||||
| (W) Oct 11 | [6] Automorphisms. (+BEN's talk) | |||||
| (F) Oct 13 | [7] Cosets & Lagrange's Thm | |||||
| VIII | (M) Oct 16 | [7] Cosets & Lagrange's Thm, cont. | ||||
| (W) Oct 18 | [8] Direct products | |||||
| (F) Oct 20 | [9] Chinese Remainder Theorem | |||||
| IX | (M) Oct 23 | [9] Factor groups of Abelian groups | ||||
| (W) Oct 25 | [9] Factor groups and normal subgroups | |||||
| (F) Oct 27 | [10] Homomorphisms & kernels (+AKBAR & KARSTEN's) | |||||
| X | (M) Oct 30 | [10] First Isomorphism Theorem | ||||
| (W) Nov 1 | [10] First Isomorphism Theorem, cont. | |||||
| (F) Nov 3 | Review | |||||
| XI | (M) Nov 6 | Midterm II | ||||
| (W) Nov 8 | [12] Intro to Rings and Fields | |||||
| (F) Nov 10 | [13] Integral Domains | |||||
| XII | (M) Nov 13 | [13] Integral Domains, cont. (+MARIA & MARISSA) | ||||
| (W) Nov 15 | [14] Ideals | |||||
| (F) Nov 17 | [14] Ideals, cont. | |||||
| XIII | (M) Nov 20 | [14] Factor rings | ||||
| (W) Nov 22 | [15] Ring homomorphisms | |||||
| (F) Nov 24 | Thanksgiving (no class) | |||||
| XIV | (M) Nov 27 | [15] Ring homomorphisms, cont. | ||||
| (W) Nov 29 | [*] Quaternion rings | |||||
| (F) Dec 1 | [*] Quaternion geometry | |||||
| XV | (M) Dec 4 | Finals Week | ||||
| (W) Dec 6 | Finals Week | |||||
| (F) Dec 8 | Finals Week | |||||
| (S) Dec 9 | Final Exam, 8:30am-11am | |||||