Class Information:
Instructor: Stitzinger
A. GRADING:
There will be three tests and a final exam. Each will count 20%.
Homework will count 20%.
B. TOPICS:
Introduction to groups: 2 weeks
Cyclic groups: 1 week
Permutation groups: 1 week
Cosets and Lagrange's theorem: 2 weeks
Normal subgroups, factor groups, homomorphisms: 3 weeks
Introduction to rings: 1 week
Integral domains and fields: 2 weeks
Polynomial rings: 2 weeks
C. HOMEWORK
Aug 21 Page 37: 1-9
Aug 26 Page 52: 1, 11, 17, 19, 20, 22, 25, 26. Hand in 26
Aug 28 Page 54: 3, 5, 12, 24
Sept 2 Page 67: 1, 2, 4, 5, 6, 8, 9, 18, 28, 29, 35
Sept 4 Page 69: Hand in 28, 29. Page 82: 1-4
Sept 9 Page 82: 5, 7, 8, 9, 10, 15, 19, 21, 45, 46, 52, 53, 63. Hand in 52, 53
Sept 16 Page 112: 2, 3, 5, 9, 10, 11, 12, 15, 17, 18, 21, 22
Sept 23 TEST 1
Sept 30 Page 132: 1,2,3,4,5,7,10,14,23
Oct 2 Page 132: 22, 30,32. **Prove that Aut (Z_10) is cyclic Page 148: 1,2,5,7 Hand in ** and *Show U(10) is isomorphic to Z_4.
Oct 7 Page 148: 8,9,10,13,14,15,20 Hand in 9,10,14,15
Oct 14 Page 148: 20-26
Oct 16 Page 191: 1,2,4,7,10,12,18,25,27, 37
Oct 21 Page 191: 27, 37, 38, 40, 43, 44
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