This is a tentative syllabus and it is likely to change as the course progresses.
Date  Reading  sections in Artin  Homework 
Aug. 22, 24  Prelimiaries; Laws of composition; Groups and subgroups sec. 2.12.3 
Homework 1 due 8/27 in class 
Aug. 27, 29, 31  Cyclic groups; homomorphisms. sec. 2.42.5 
Homework 2 due 9/3 in class 
Sept. 3, 5, 7  Equivalence relations, partitions, cosets. sec. 2.62.9 
Homework 3 due 9/10 in class 
Sept. 10, 12, 14  Correspondence theorem, product groups, quotient groups. sec. 2.102.12 
Homework 4 due 9/17 in class 
Sept. 17, 19  Abstract symmetry. sec. 6.7, 6.8, and some of 6.4 
Homework 5 due 9/24 in class 
Sept. 21  Midterm.


Sept. 24,26,28  The counting formula; the class equation. sec. 6.96.10, 7.17.2 
Homework 6 due 10/1 in class 
Oct. 1, 3, 5  pGroups, Icosahedral group, normalizers sec. 7.3, 7.4, 7.6 
Homework 7 due 10/8 in class 
Oct. 8, 10, 12  Sylow theorems, groups of order 12.
sec. 7.7, 7.8 
Homework 8 
Oct. 15, 17, 19  Fall break  
Oct. 22, 24, 26  Free groups; generators and relations. sec. 7.9, 7.10 
Homework 9 due 10/29 in class 
Oct. 29, 31, Nov. 2  Rings, homomorphisms, ideals. sec. 11.111.3 
Homework 10 due 11/5 in class 
Nov. 5, 7, 9  Quotient rings; Product rings. sec. 11.411.6 
Homework 11 due 11/12 in class 
Nov. 12, 14, 16  Maximal ideals; introduction to algebraic geometry. sec. 11.711.9 
Homework 12 due 11/19 in class 
Nov. 19  Factoring integers and unique factorization domains. sec. 12.112.2 
Homework 13 due 11/26 in class 
Nov. 21, 23  Thanksgiving  
Nov. 26, 28, 30  Gauss' lemma; factoring integer polynomials; gauss primes. sec. 12.312.5 
Homework 14 due 12/3 
Dec. 3, 5  TBA 