General Info  Daytoday
Learning TeX: You'll need to install an editor (my favorite for Macs is TeXShop, and I've heard TeXMaker is good for other platforms). You'll also need a TeX distribution; everything is linked to from the math department's page on TeX. A good overall guide to learning LaTeX is the Not So Short Guide. I use TikZ for pictures; the manual I use for this is Till Tantau's PGF Manual, but really I learned by digging around the TikZ example database (in general, TeXample.net is awesome). I also have a samle TeX file on my teaching page
Week 0  Read before class: 0.1, 0.2, 0.3 Basic properties of sets, integers, and modular arithmetic.  
Week 1 
1.1, 1.2, 1.3: Definition of a group and examples. Dihedral groups, symmetric groups. Slides: [Monday] [Wednesday] [Friday] 

Due 9/14: Homework 1 in pdf or tex  
Week 2 
1.5, 1.6, 1.7, 2.1, 2.2: group homomorphisms and actions, subgroups, quaternions, special subgroups Slides: [Monday] [Wednesday] [Friday] 

Due 9/21: Homework 2 in pdf or tex 

Quiz: Sections 0.11.6. Thursday during Xhour. [solutions]  
Week 3 
2.3, 2.4, 3.1: Cyclic and finitely generated groups. Quotient Groups. Slides: [Monday] [Wednesday] [Friday] 

Due 9/28: 1.7 #6, 8 (read and think about 9 and 10 for contrast), 14, 15, 17, 18, 21, 23. 2.2 #5(a), 2, 6, (read and think about 7), 9 (you proved 2.1.10(a) on the last homework), 12 (a)(d) (read 13). 2.3 #1, 9, 11, 12, 15 (you can use 12), 19, 24.  
Week 4 
3.1, 3.2, 3.3: Quotient groups, orders, Lagrange, isomorphism theorems Slides: [Monday] [Wednesday] [Friday] 

Due 10/5: 2.4 #3, 14, 3.1# 5, 7, 14 (see 2.1.6 for the definition of torsion), 21, 24, 35 (recall that determinant is a homomorphism), 36, 40, 41 (read 42).  
Week 5 
3.5, 4.1, 4.2, 4.3: Alternating group and group actions revisited Slides: [Monday] [Wednesday] 

Due 10/12: 3.2# 4, 11, 14 (using ideas developed in 3.2; do not use brute force), 18; 3.3# 2, 3, 7, 8, 3.5#12, 17 (read 15 and 16 for help); 4.1 # 2, 7 [ hint
] 

Quiz: Sections 1.74.1. Thursday during Xhour. [solutions]  
Week 6 
4.3, 3.4, 4.5 Slides: [Monday] [Wednesday] [Friday] 

Due 10/19: 4.2 #7, 8, 10 (You may assume Cauchy's theorem), 11, 12
[ hint
],
13, 4.3 #3, 5, 12 (just do S_8), 19
[ hint
]
(read 2022), 26 [ hint
],
30 [ hint
]. 

Midterm: Chapters 14. Out Friday, in Wednesday. tex template EXTRA CREDIT: Turn in, with the exam, a distilled set of notes which summarizes the material covered in chapters 14. Extra office hours this week: Monday 12:302, Tuesday 2:304, or by appointment. [Solutions: (pdf) or (tex)]  
Week 7 
5.1, 5.2, 7.1 Slides: [Monday] [Wednesday] [Friday] 

Due 10/29: 3.4 #1, 2 (just do Q_8), 7; 4.5 #2, 3, 4 (just do S_3 \times S_3), 18, 22; 5.1 #5, 10.  
Week 8 
7.2, 7.3, 7.4 Slides: [Monday] [Wednesday] [Friday] 

Due 11/02: 5.2 #2&3 parts (a) and (b), 5, 7 (see example 2 on p. 155), 11, 14; 7.1 (notice that all problems consider only rings with 1) #4, 6 (just give answers, no need to justify), 7, 13(a)+ give an example, 14, 15, 21 (you may assume that union and intersection are associative operations on sets), 24 just D=3, 25; 7.2 #1(c), 4 (read 3)  
Quiz: Sections 5.1, 5.2, 7.1, 7.2, 7.3, and 7.4 up to prop 11. Thursday 11/8 during Xhour. [Solutions]  
Week 9 
7.4, 8.1, 8.2. A PID that's not a ED Slides: [Monday] [Wednesday] [Friday] 

Due 11/09: 7.2 #11, 13; 7.3 #2, 6, 10, 13, 17, 23, 26 (you may use 25), 28, 7.4 #5, 12, 16, and work through and informally write up 14. In case you've forgotten how to do long division on polynomials  
Week 10 
8.3, 9.19.4 Slides: [Monday] 

Due 11/16 (full credit given for mostly completed): 7.4 # 11, 34; 8.1 #3, 4, 8: (a) D=2, (b) D = 43; 11 8.2 #6;  
Final: Chapters 09. Out Monday 11/12, in Monday 11/19 by 9am. [Template] [Solutions: (tex) or (pdf)] Extra office hours han be signed up for here. 
Recent posts on group theory:
math.GR on arXiv