Assignments.pdf - Weekly HW Assignments for Math 235...

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Weekly HW Assignments for Math 235. WARNING: THIS PAGE WILL BE UPDATED AND ADJUSTED REGULARLY. DON’T START HW UNTIL REVISITING IT. The exercises are mostly drawn from the text. There are hints and solutions for many parallel problems at the end of the text, and the internet is an excellent resource for finding solutions. But first try to solve the problems yourself or with friends, and explain your own clear account of the solution. We use the notation 7[adjustment] to mean problem 7 varied as described in brackets. 1) (Sept 12)- 1.3 Exercises: 2, 7, 9, 11. 2) (Sept 19)- 1.3 Exercises: 19, 20[with ࠵? → ࠵? replacing ࠵? → ࠵? ], 24b, 24d. 3) (Sept 26)- 2.3 Exercises: 3[ n! > 3^n for n>6], 5, 9, 15bc, 16, 17a, 19, 30. 4) (Oct 3) - 3.4 Exercises: 1bd, 2bd, 3, 6[Cayley table for U(10)], 13, 15, 17, 27 ,36, 44, 53. 5) (Oct 10)- 4.4 Exercises: 1bcde, 3dbk, 5, 6, 14, 26, 29, 33, 39. 6) (Oct 17)- 5.3 Exercises: 1bd, 2bfjklp, 3bde, 6, 7, 10, 16, 19, 29, 31. 7) (Oct 24)- 6.4 Exercises: 5c[5 replaces 3]fh, 9, 11, 12, 18, Find all left cosets of <(1234)> in S_4.

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