Math 3510 Information

Fall 2009

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Syllabus

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Homework:  Homework is to be turned at the beginning of class on the days indicted below. Follow the homework guidelines when preparing your homework to be graded. Soon after class each day the homework assignments will be posted here.  You should do all the homework listed, but turn in only the problems listed in bold face type.

• August 31
  Eliminate as many possible ending positions for the + puzzle as you can.
• September 2
  Read Section 3
• September 4
  Prove the right cancellation law.
• September 9
  Prove that  for any a,b in a group G, y*a = b has a unique solution.
• September 14
  Page 45  1-6, 8, 9, 10, 11-19, 22, 23, 25, 19, 29, 31, 32, 36, 41
  Read Sections 5
  Practice computing products in the dihedral group.
• September 16
  Prove that if a and b are equivalent mod n and c and d are equivalent mod n, then ac is equivalent to bd mod n.
• September 18
  Prove that if H is a subgroup of G, then the inverse of a in H is the same as the inverse of a in G.
• September 21
  Page 55  1-12, 14,15,27,19,20,22,23,27,37,39,40  Turn in 41, 42
• September 23
  Read Section 6
• September 25
  Page 66  5-11, 17-24, 33-37
  Page 55  43, 47, 51
• September 28
  Exam 1
  Page 67  45, 46 
• October 2
  Page 67  48, 49,55
• October 7
  Review the lecture from October 5 and make sure you understand the connection between the Klein 4-group table and permutations of the Klein 4-group.
  Page 94 7-12
• October 12
  Page 83  1,3,5,7,8,11-13,21,,22,30,31,35,40,41,46,48
• October 14
  Prove that bH is a subset of aH.  (This is part of the proof from class.)
• October 19
  Page 101  1-7, 12, 15, 16, 20, 21, 22, 23, 24, 27, 28, 29, 30, 31, 34, 37, 38, 39, 40
• October 23
  Page 110  1-13,15-25
• October 26
  Exam 2
  Page 110  39,46,47,49,52
• October 30
  Read Section 13
• November 2
  Page 133  1-7,8,16-21,22
• November 6
  Page 133 23-27,33,37,41,42,43,44,45,49
• November 9
  Page 142  1,3,6,7,9,11,12,15,17,18,21,23,24,30
• November 13
  Page 142  31,34,35,36
• November 18
  Page 151 1,3,4,5,6,7,9,10,14 (center only), 15 (center only)
• November 20
  Exam 3
• December 7
  Project Due
• December 16 (10:30)
  Final Exam

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