Math 330, Spring 2020 (Whyte)

Homework (problems with an asterisk will be collected for feedback)

• Week 1 (Due 1/22): This week we are reviewing material from math 215, so work through any of the problems in section 0 on topics that you do not remember well. I will collect 5,11,20+21,34.
• Week 2 (Due 1/29):
  Groups, section 1: 3,5*,6,7,13*,24
  Groups, section 2: 2*,3,4,5,11,12,16*,22,25*,26,37,48*
  
• Week 3 (Due 2/5): Groups, sec 3 : 1,4*,9,10,12,13*,14,15*,18,21,23,33*,34,40,42,47*,51,63,76*
• Week 4 (Due 2/12):
  Permutation groups (section 5): 3, 6,7,8, 11, 15, 21*,29, 35*, 38, 46*, 58*
  Isomorphisms (section 6) : 2,7*, 8, 12*, 22, 24, 30, 31, 32*,41,44*,57*, 58
  
• Week 5 (Due 2/19):
  Cosets (section 7): 4,8*,12,15,17,21*,25,28*,34,40*,43,50
  External Products (sec 8): 1,4*,12,17*,18,21
  
• Week 7 (Due 3/4)
  Normal Subgroups and Quotients (sec 9): 1,8,9*,11,19,21*,22,27,32,54,59,64,68*,70
  
• Week 8 (Due 3/11)
  Homomorphisms (sec 10): 3,5,9*,10,17*,20,29,35,41*,66
  Finite Abelian groups (sec 11): 3,5*,11,13,21,23*,28
  
• Week 9 (Due 4/1 (originally 3/18))
  Intro to Rings (sec 12): 6*,7,12*,22,25*
  Integral domains (sec 13): 4, 11*,13,15,16*,24,25,34*,46,57*
  
• Due 4/8 :
  Section 14: 4,6*,10,11,12,16*,27,30,39*,48,55,63*
  Section 15: 2,3,10*,17,37,40*,45
  
• Due 4/15 :
  
• Due 4/22 :
  Section 18: 1,3,5*,17,21*,23,25*,28,34*,41,47*
  Read section 19 and prepare questions before class on 4/22
  
• Due 5/1 :
  Section 20: 2,3,7,8*,9,10,20*,22*,23,28,37*,41*,42
  Section 21: 5,7*,13,22,25*,31