Homework
Homework will be due regularly, and will be posted here. You should check this page with frequency. Not all homework will be graded; however, all homework material is fair-game on assessments.
One of my goals as an instructor is to provide you with something you can't get just from reading a textbook. That means one of the goals for my lectures will be to add to the material presented in the textbook--to provide additional motivation, or different examples, or go over proofs in different (or just more specific) detail. That being said, the homework may include a reading assignment where you will be asked to look over portions of the textbook to give a greater context to lectures and exercises.
HW 1: Problems due by Friday August 28 at the start of class.
Read Chapter 0.
pg. 3: #s 5,6
pg. 7: #s 3,5,8
pg. 11: #s 4,8,12,13
HW 2: Problems due by Monday August 31 at 5pm (there'll be a folder on my door if I'm not there).
Read Chapter 1.1--1.3, 1.6
pg. 21: #s 1,2,5,12,16
HW3: Problems due by Thursday September 3 at 5pm (again...folder on door if I'm not there).
Read Chapter 1.4, 2.1
pg. 21 #s 27,29,32,34
pg. 32 #s 2,6,16
HW 4: Problems due by Monday September 7 at 5pm. CLICK HERE
HW 5 : Problems due by Friday September 11 by beginning of class:
pg. 33: #15
pg. 39 #s 6,15,
pg. 48 #s 8, 9, 10,
pg. 52 #3
HW 6: Problems due by Monday September 14 at 5pm.
Read Chapter 2.3
pg. 39 #s 18, 21
pg. 48 #s 2(a)(d)(e) only, 15
pg. 60 #s 3,8
HW 7: Problems due by class on Friday September 18
pg. 60 #5 (Hint:section 0.2)
pg. 65 #5,6
Read section 2.5. Do #9 on pg. 71.
HW 8: Problems due by 5pm on Monday, September 21
pg. 44 #s2,3,4,18,19
HW 9: Problems due by 5pm on Friday, October 2
pg. 85 #s 7, 20,24,36
pg 95 #s 1, 4, 14
Prove or give a counterexample: If H is the only subgroup of G of order |H|, then H is a normal subgroup of G.
HW 10: Problems due by 5pm on Friday, October 9
pg. 95 #9
pg. 101 #4
Read section 3.5 (it'll give you some perspective on lecture, for sure).
pg. 111 #s 2,3
HW 11: Problems due by 5pm on Monday, October 19
pg. 111 #12, 17
pg. 151 #1, 5
HW 12: Problems due by 5pm on Friday, October 30
pg. 158 #s 2,3,18 (NOT part (d) or (e))
pg. 165 #s 1,4,9
Prove or provide a counterexample. If M,N, and P are groups and the direct products M \times P and N \times P are isomorphic, then M and N are isomorphic.
HW 13: Problems due by 5pm on Friday, November 6
pg. 7.1 #s 5,6,13(a and b only),14,16
HW 14: Problems due IN CLASS on Monday, November 23
7.1 #s 21, 25
7.2 #8
7.3 #s 12(a)(b) only, 15, 34(d)
7.4 #15