Math 331
Group Theory
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- Homework grading codes
- Homework 1:
- For Wednesday 5pm: Send a mathematical autobiography to me by email. This should include a list of previous math courses at LMU, your favorite and your least favorite math course to date, with explanations as to why for both, a description of what you hope to be doing in 5 years, and anything else you would like to tell me.
- For Tuesday, Jan. 16: pp.8-10: 2, 3, 12, 13, 16ac, 24, 25, 26, 32, 33, 34, 36
- For Tuesday, Jan. 16: Go to the web site SpinPossible website (https://spinpossible.com/index.pl) create an account (it's free), read the instructions, and work through the training level of puzzles. Suppose you had a 1x2 puzzle. How many possible positions are there? Explain.
- Worksheet 1
- Homework 2: For Tuesday, Jan. 23:
- pp. 19-20: 6, 23, 26, 31, 38
- pp. 25-27: 2, 9, 10, 20, 21, 24aefij, 28, 36
- pp. 34-36: 4, 5, 16a, 23, 24
- Worksheet 2
- Homework 3: For Tuesday, Jan. 30:
- pp. 45-47: 2, 4, 6, 10, 14, 16, 19, 20, 22, 26, 33, 34
- pp. 55-56: 2, 4, 6, 16
- Selected solutions and notes.
- Homework 4: Due Tuesday, Feb. 7
- Study guide for first test
- Homework 5: Due Thursday, February 23 - these are mechanical problems to get practice in multiplying permutations.
- Homework 6: Due Thursday, March 15. (Beware the ides of March).
- Topspin on the Symmetric Group - Here is an article from Math Horizons on using permutation groups to solve a puzzle.
- Homework 7: Due Thursday, March 22.
- pp. 94-95: 15, 16, 18, 23
- pp. 101-103: 3, 4, 6, 7, 12, 14, 19, 21, 28, 32
- Solutions
- Study Guide for Test 2
- Homework 8: Worksheet from class
- Homework 9: Due Thursday, April 19.
- pp. 133-135: 10, 23, 32
- pp. 142-145: 1, 3, 9, 10, 13, 14, 17, 20, 23, 25, 30
- Last Homework (Study sheet will be posted tomorrow)
- Study Sheet for final
- Finals week office hours: M: 1-2 UHall, T: 3:30-5:00 UHall, W: 1-2:30 Pereira