Math 3510 Information

Fall 2008

---

Syllabus

---

Homework:  Homework is to be turned at the beginning of class on the days indicted below. Follow the guidelines at http://www.math.unt.edu/~brand/class/3510/2007Fall/homeworkexp.htmll 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 27
  Use the group table given in class to determine where the last marble may be in the + puzzle.  Turn in your solution.
• August 29
  Read Sections 0,1, and 2
• September 3
  Write out the tables for addition and multiplication (mod 7)
• September 5
  Page 10  36
  Page 19  22,23,27,33
  Read Sections 3 and 4
• September 8
  Page 25 3,6,8,11,26,32 (turn in all of them)
• September 12
  Page 45  1-6, 8, 9, 10, 11-19, 22, 23, 25, 19, 29, 31, 32, 36, 41
  Read Sections 5
• September 15
  Read Section 6
• September 17
  Page 55  1-3, 22-25, 26, 27, 33,34, 39, 40, 41, 42, 45, 47
• September 26
  Page 66  1-18, 25,27,28,30,33-37, 44, 46, 48, 51, 53
• September 29
  All problems on the dihedral group homework sheet.
• October 3
  Page 83  1-13, 16,17,20,23,24,30,31,32,36,40,41,42,43,46,47
• October 15
  Page 94  1-12, 13-18, 29, 30, 33, 34, 36
• October 20
  Find all left cosets of the subgroup {1, rho^2, mu, mu rho^2}<D_4.  Then find all right cosets of the same subgroup.
  Find all left cosets of the subgroup <(1,2,3,4)> < S₄.  Then find all right cosets of the same subgroup.
  Page 101  1-7, 12, 15, 16, 20, 21, 22, 23, 24, 27, 28, 29, 30, 31, 34, 37, 38, 39, 40
• October 29
  Page 110  3-8,10,11,13,15-25,46,47,49
• November 3
  Page 133  1-7,8,16-21,22,23-27,33,37,41-45,49
• November 10
  Prove 5) implies 4) on the equivalent conditions for normal subgroup.
  Prove that x maps to x inverse is a group automorphism if the group is abelian.
  Prove that x maps to gxg^-1 is a group automorphism for any g in the group G.
• November ?
  Page 133  1-7,8,16-21,22,23-27,33,37,41,42,43,44,45,49
• November ?
  Page 142  1-5,6,7-11,12,16,21,22,24,26,30,31,33,34
• November 24
  Page 151  1-6,7-9,11-13,28,30,31,34,37
• November 26
  Exam 2  Covers sections 9-11,13-15
• Project:  Page 153 39.  The project is to show the alternating group is simple for n at least 5.  The book gives a good outline of how to do this.  This project is worth 100 points, the same as an exam.  So, be sure you put a lot of effort into this and write your results up neatly and carefully.  Do not go to anyone for help except your instructor.  You are also not to look at other sources of help such as books or the internet, although you may use the text book.
• December 8 (10:30-12:30)
  Final

---

Return to Neal Brand's homepage.