Class Homework and Announcements
Date Computations Proofs Reading/Announcements
January 9
  • None.
  • None.
  • Today's homework: Complete the Cayley table for the symmetries of the square.
    • January 11
  • (1,2,3) on pg 37
  • 5 on pg 37
  • 25 on pg 55
  • 14 on pg 54
  • Read pages 42-49.
  • On the "Am I a Group?" handout from class, there are two more examples that are NOT groups. Which ones? Be ready to discuss this on Friday.
    • January 13
  • 22 on pg 55
  • 28 on pg 55
  • Problem A
  • Problem B
  • Problem C
  • Continue to study pages 42-49. After studying these examples, look at the chart on page 49 and make sure that you understand it.
    • January 16
  • No class today.
  • To be completed.
  • No new announcements.
    • January 18
  • 29 on pg 24 (use modular arithmetic)
  • 37 on pg 25
  • Problem D
  • 3 on pg 54
  • 8 on pg 54 (Ignore the U(8) part.)
  • Read about modular arithmetic on page 8-14.
    • January 20
  • 13 on pg 54
  • 21 on pg 55 (Also, prove you have a group.)
  • Any "proof" problem from January 13 that you did not already turn in.
  • The homework due today consists of problems assigned on 1/11 and 1/13.
    • January 23
  • Problem G
  • Problem E
  • Problem F
  • No new announcements.
    • January 25
  • Problem H
  • (4,5) on pg 54
  • 10 on pg 54 (By the way, the notation for this group is SL(2,R) where "S" stands for "special".)
  • 34 on pg 56
  • 37 on pg 56
  • No new announcements.
    • January 27
  • Nothing new.
  • Nothing new.
  • The homework due today consists of problems assigned on 1/18 and 1/20.
    • January 30
  • Problem I
  • (17,18) on pg. 112
  • 40 on pg. 113
  • Read pages 93-98.
    • February 1
  • (4,9,18) on pg 111 and 112
  • (38,39) on pg 113
  • 14 on pg 112
  • 26 on pg 113
  • (Prove Theorem 5.6, do problem 21) on pg 112
  • 42 on pg 113
  • No new announcements.
    • February 3
  • Nothing new.
  • Nothing new.
  • The homework due today consists of problems assigned on 1/23 and 1/25.
    • February 6
  • To be completed.
  • 11 on pg 54 (By the way, the notation for this group is SL(2,R) where "S" stands for "special".)
  • Problem F (part 2 only)
  • No new announcements.
    • February 8
  • 12 on pg 68 (DON'T DO THIS PROBLEM. I'll only grade two computations.)
  • 29 on pg 69
  • 32 on pg 70
  • 4 on pg 67
  • 10 on pg 68
  • 26 on 69
  • Read pgs 58-62.
    • February 10
  • To be completed.
  • 47 on pg 70
  • 48 on pg 71
  • 44 on pg 70
  • 46 on pg 70
  • No new announcements.
  • The homework due today consists of problems assigned on 1/30, 2/1, and 2/3.
    • February 13
  • Nothing new.
  • Nothing new.
  • No new announcements.
    • February 15
  • (29,51c) on pgs. 69,71
  • (17 b,c and 18) on pg. 68
  • 20 on pg. 68
  • A proof from February 10 that you have not done.
  • Read pages 62-67.
  • Exam 1 has been postponed until February 22.
    • February 17
  • 2 on pg. 67
  • 33 on pg. 70
  • 4 on pg. 67
  • 6 on pg. 67
  • The homework due today consists of problems assigned on 2/6, 2/8, and 2/10.
    • February 20
  • Nothing new.
  • Nothing new.
  • No new announcements.
    • February 22
  • Exam 1 is today.
  • To be completed.
  • No new announcements.
    • February 24
  • (MANDATORY) 51c on pg 71
  • (7,16) on pg 83
  • (32,34) on pg 82
  • 19 on pg 83 (read about the group U(30) on pg 46)
  • (MANDATORY) 19 on pg 68
  • 22 on pg 83
  • 37 on pg 84
  • 51 on pg 85
  • Read pages 73-82.
  • The homework due today consists of problems assigned on 2/15 and 2/17. Only FOUR problems are due today: two computations and two proofs.
  • There is no quiz today.
    • February 27
  • (1,2,3,4) on pg 82
  • (8,45) on pg 82,84
  • (9,10) on pg 82
  • 13 on pg 83
  • 14 on pg 83
  • 11 on pg 82
  • 15 on pg 83
  • 21 on pg 83
  • 24 on 83 (C(a) is defined on pg 66.)
  • 30 on pg 84
  • 62 on 85
  • Reread pages 73-82.
  • Part 1 of Rubik's Cube Project is due this week.
    • March 1
  • Nothing new.
  • To be completed.
  • No new announcements.
    • March 3
  • Nothing new.
  • To be completed.
  • The homework due today consists of problems assigned on 2/24. MAKE SURE TO CITE THE THEOREMS THAT YOU USE.
    • March 6
  • No class today.
  • To be completed.
  • No new announcements.
    • March 8
  • No class today.
  • To be completed.
  • No new announcements.
    • March 10
  • No class today.
  • To be completed.
  • No new announcements.
    • March 13
  • Problem L
  • 4 on pg 130
  • 5 on pg 130 (Use Cayley tables to illustrate the isomophism.)
  • Read pgs 118-122.
    • March 15
  • Problem J
  • Problem K-MANDATORY
  • Read pgs 20-22.
  • Read pgs 118-122 again.
    • March 17
  • Problem M
  • Problem N
  • Problem O
  • The homework due today consists of problems assigned on 2/27.
    • March 20
  • To be completed.
  • Problem P
  • 36 on pg 131
  • 3 on pg 129 (Automorphisms are defined on page 126.)
  • 28 on pg 131
  • The take-home quiz is due today.
    • March 22
  • Problem Q-mandatory!
  • (4,22) on pg 130
  • 7 on pg 130
  • Thm 6.3 part 2.
  • Thm 6.3 part 4.
  • No new announcements.
    • March 24
  • Problem R
  • To be completed.
  • The homework due today consists of problems assigned on 3/13, 3/15, and 3/17.
    • March 27
  • (1,2,7) on pg 145
  • (3,4,5,6) on pg 145
  • (8,9) on pg 145
  • (13,14,20) on pg 145
  • To be completed.
  • Read pages 134-138.
  • Part 2 of Rubik's Cube Project is due this week.
    • March 29
  • To be completed.
  • Problem S
  • Read Theorem 7.2. We will NOT go over this theorem in class, but I want you to know it.
    • March 31
  • To be completed.
  • 10 pn 145
  • 15 on 145
  • 24 on 145
  • 26 on 145
  • The homework due today consists of problems assigned on 3/20, 3/22, and 3/24.
    • April 3
  • Problem T
  • (5,6,26) on pg 162
  • (10,11,12,13) on pg 162
  • (22,35) on pg 163
  • (27,29,25) on pg 163
  • (42,43) on pg 164
  • 1 on pg 162 (mandatory)
  • 4 on pg 162
  • 7 on pg 162
  • 9 on pg 162
  • 15 on pg 162
  • 33 on pg 163
  • No new announcements.
    • April 5
  • To be completed.
  • To be completed.
  • No new announcements.
    • April 7
  • To be completed.
  • To be completed.
  • The homework due today consists of problems assigned on 3/27, 3/29, and 3/31.
  • Here is a list groups we have studied.
    • April 10
  • (1,2,3,15 a-f) on pg 219
  • 19 on pg 220
  • 28 on pg 220
  • (6,7) on pg 219
  • Read pages 211-216.
    • April 12
  • Exam 2 is today.
  • To be completed.
  • No new announcements.
    • April 14
  • No class today.
  • To be completed.
  • No new announcements.
    • April 17
  • 4, 8a on 186
  • 12,13,16 on 186
  • 20, 21 on pg 187
  • 22 on pg 187
  • 23 on pg 187
  • 7 on pg 186
  • 9 on 186 ("show" means "prove")
  • 10 on pg 186
  • 19 on pg 187 (prove your answer)
  • 27 on pg 187
  • 44 on pg 188 (mandatory!) Click here for some hints on this problem.
  • Sometime between today and Friday, April 28, make an appointment with me to solve the Rubik's Cube.
  • Exam 2 solutions.
    • April 19
  • To be completed.
  • To be completed.
  • No new announcements.
    • April 21
  • To be completed.
  • To be completed.
  • The homework due today consists of problems assigned on 4/3 and 4/10. You may turn in one BONUS problem. This problem can be either a computation or a proof and is worth up to 10 points.
    • April 24
  • To be completed.
  • To be completed.
  • To be completed.
    • April 26
  • To be completed.
  • To be completed.
  • No new announcements.
    • April 28
  • To be completed.
  • To be completed.
  • The homework due today consists of problems assigned on 4/17.