Date  Title  Notes  Reading 
2,9,14 Sep 09  Introduction, the Integers, and Algorithms  Notes #1  Gallian Ch. 0 
16 Sep 09  Primes & Factorization, Group Theory: Def & Examples  Notes #2  Gallian Ch. 0,2 
Problem Set 1 (due 9/23)  PS #1  
21 Sep 09  More Groups  Notes #3  Gallian Ch. 1,2 
23 Sep 09  Subgroups and Cyclic Groups  Notes #4  Gallian Ch. 3,4 
Problem Set 2 (due 9/30)  PS #2  
28 Sep 09  Cyclic Groups and Cryptographic Applications  Notes #5  Gallian Ch. 4 
30 Sep 09  Permutation Groups  Notes #6  Gallian Ch. 5 
57 Oct 09  Isomorphisms  Notes #7  Gallian Ch. 6 
7 Oct 09  Quiz I  Until Notes #5, Gallian Ch. 4. 

Problem Set 3 (due 10/21)  PS #3  
12 Oct 09  No class: Columbus Day  
14 Oct 09  Automorphisms & Cosets  Notes #8  Gallian Chs. 67 
Midterm Feedback Responses  Feedback  
19 Oct 09  Orbits & Stabilizers, External Direct Products  Notes #9  Gallian Chs. 78 
21 Oct 09  Normal Subgroups and Factor Groups  Notes #10  Gallian Ch. 9 
Problem Set 4 (due 10/28)  PS #4  
26 Oct 09  Homomorphisms  Notes #11  Gallian Ch. 10 
28 Oct 09  Computational Group Theory  Notes #12  Gallian Ch. 11 
Problem Set 5 (due 11/4)  PS #5  
2 Nov 09  Rings  Notes #13  Gallian Chs. 1213 
4 Nov 09  Ideals  Notes #14  Gallian Ch. 14 
Problem Set 6 (due THU 11/12)  PS #6  
9 Nov 09  Homomorphisms  Notes #15  Gallian Ch. 15 
11 Nov 09  No class: Veteran's Day  
16 Nov 09  Polynomial Rings  Notes #16  Gallian Chs. 1617 
18 Nov 09  Quiz II  Until Notes #14, Ch. 14  
Problem Set 7 (due Wed 12/2)  PS #7  
23 Nov 09  Ideals and Factors of Polynomial Rings  Notes #17  Gallian Chs. 14,16,17 
25 Nov 09  Vector Spaces  Notes #18  Gallian Chs. 19,21 
30 Nov 09  Extension Fields  Notes #19  Gallian Chs. 2021 
2 Dec 09  Finite Fields, ErrorCorrecting Codes  Notes #20  Gallian Ch. 22 
Problem Set 8 (due Wed 12/9)  PS #8 