Assigned Homework Fall 2004

  • Assigned Wednesday, December 1: Typed problems 1, 2, and 3 from .pdf format or .ps format. My solution to Homework 2 and 3: .pdf format or .ps format.
  • Assigned Monday, November 29: The problems on page 75 and 101 from .pdf format or .ps format.
  • Assigned Wednesday, November 17, 2004: page 118, numbers 16, 17, and 11.
  • Assigned Monday, November 15, 2004: page 118, numbers 10, 12, 13, and 14. In number 10, R^+ means the group of positive real numbers under multiplication.
  • Assigned Friday, November 12, 2004: page 118, numbers 4, 5, 6, and 7.
  • Assigned Wednesday, November 10, 2004: numbers 11, 16, 18 from .pdf format or .ps format.
  • Assigned Monday, November 8, 2004: numbers 10, 14, 15 from .pdf format or .ps format.
  • Assigned Friday, November 5, 2004: numbers 7, 8, and 9 from .pdf format or .ps format.
  • Assigned Wednesday, November 3, 2004: numbers 6, 12, 13, and 17 from .pdf format or .ps format.
  • Assigned Monday, November 1, 2004: numbers 2, 3, and 5 from .pdf format or .ps format.
  • Assigned Friday, October 29, 2004: number 1 from .pdf format or .ps format.
  • Assigned Wednesday, October 27, 2004: page 144, numbers 6, 7, 9 and page 119, numbers 8 and 13.
  • Assigned Monday, October 18, 2004: page 125, numbers 4, 5, 6, 7, 9.
  • Assigned Monday, October 11, 2004: page 155, numbers 17, 18; page 40, numbers 1b, 2a, 3b; page 90, numbers 4, 5; page 101, numbers 3bc, 8.
  • Assigned Friday, October 8, 2004: page 155, numbers 6, 9, 12, 19, 20, 21. Recall that the direct product of Z with Z is the group of ordered pairs (a,b), where a and b are integers. The operation is coordinate wise addition: (a,b)+(c,d)=(a+c,b+d), for integers a, b, c, and d.
  • Assigned Friday, October 1, 2004: .pdf format or .ps format
  • Assigned Wednesday, September 29, 2004: .pdf format or .ps format
  • Assigned Monday, September 20, 2004: page 101, numbers 15, 16, 18, and 21. (See my notes on the homework list about these problems.) Recall that the group G is cyclic if there is an element g in G such that every element of G has the form g^n for some integer n.
  • Assigned Wednesday, September 15, 2004: typed problems 7, 6, 12.
  • Assigned Monday, September 13, 2004: page 90, numbers 20 (I ignore the hint) and 21; page 102, number 22. (The element a of the group G has finite order if there exists some natural number n with a^n=id; otherwise, the element a has infinite order.)
  • Assigned Friday, September 10, 2004: typed problems 9 and 11. Let (G,*) be a group and let H={g in G such that g*g*g=id}. Calculate H for G=D_4, G=D_3, and G=U_6. (Recall that U_6 is the set of complex numbers which are sixth roots of 1.)
  • Assigned Wednesday, September 1, 2004: page 101, number 14cd (as modified on the list of hw problems), Typed questions 1 and 3. (In number 3, a subgroup of order 4 is a subgroup with 4 elements.)
  • Assigned Friday, August 27, 2004: page 101, numbers 12 (as modified on the list of hw problems), 13, 14ab
  • Assigned Wednesday, August 25, 2004: Typed question 2 about D_3.
  • Assigned Monday, August 23, 2004: page 90, numbers 7, 11, 14, 15. Is the group of complex numbers {1,-1,i,-i}, under multiplication, a Klein 4-group?
  • Assigned Friday, August 20, 2004: page 90, numbers 1, 2, 3, 6.