Math 435 – Basic Abstract Algebra

(Note: Any given future sections are listed according to a projected schedule, which may be subject to change.)

Day	Section	Homework
Aug 26	Chap 0	pg. 23: 4, 20, 21, 33, Problems A, B
28	Chap 0	pg. 23: 1, 2, 3, 7, 28, 34, 35, 37, 47, 49, 50, 58, 60, Prove items 2 and 3 of Modular Equivalence Arithmetic.
Sep 2	Labor Day – no classes
4	Chap 1 Chap 2	pg. 37: 1-3, 13-16, 24 pg. 54: 1-4, 7
9	Chap 2	pg. 54: 5, 9, 13-15, 20, 24, 26, 27, 31-34, 43-45, 47
11	Chap 3	pg. 68: 1, 2, 47, 53, 55, 56, 65, 69-71
16	Chap 3	pg. 68: 4, 22, 36-38, 43, 44, 73
18	Chap 4	pg. 85: 1-5, 11, 21, 23, 26, 33
23	Chap 4 Chap 5	pg. 85: 10, 13 pg. 112: 1-3, 22
25	Chap 5	pg. 112: 4-8, 13, 15, 25, 28, 29, 32, 36, 43, 56
30	Chap 6	pg. 132: 1, 3, 8, 10-13, 31, 37, 51, 53, 56
Oct 2	Chap 6	pg. 132: 2, 7, 16, 32, 36, 39, 41, 43, 45, 47, 61
7	Chap 7	pg. 150: 1-7, 9, 11
9	Exam 1
14	Chap 7	pg. 150: 12, 14-17, 21, 22, 28, 29, 36, 41, 44
16	Chap 8	pg. 150: 18 pg. 167: 3, 4, 6-8, 15, 25, 27
21	Chap 8 Some applications to cryptography	pg. 167: 10, 11, 23, 26, 32, 45, 62, 63, 67, 68, 79, 80, Problems A, B
23	Chap 9	pg. 187: 3, 4, 6, 7, 9, 10, 55
28	Chap 9	pg. 187: 11, 14, 16, 17, 25, 27, 28, 32, 37, 38, 43, 49
30	Chap 10	pg. 205: 3, 5, 7, 9, 14, 15, 31, 33, 35, 59
Nov 4	Chap 10	pg. 205: 11, 12, 21, 22, 26, 27, 42, 51
6	Chap 11	pg. 220: 1-3, 5, 9, 15-17, 19, 21, 30, 31
11	Chap 11 Chap 12	Find all Abelian groups (up to isomorphism) of order 200 and those of order 48 pg. 232: 2, 4, 5, 11, 14, 25, 26, 49
13	Exam 2
18	Chap 12	pg. 232: 19, 28, 36, 39, 41, 43, 46
20	Chap 13	pg. 243: 12, 14, 15, 17-19, 29, 30, 36, 41, 49(a), 54, 57, 58, 62, 67
Nov.25-29	Thanksgiving Break – no classes
Dec 2	Chap 14	pg. 256: 4, 5, 8, 12, 14, 15, 17, 27, 47, 57
4	Chap 14 Chap 15	pg. 256: 9, 11, 37 pg. 270: 13-17, 49
9	Chap 15	pg. 270: 31, 32, 35, 36, 66
11	Chap 16 Review	pg. 283: 1, 6, 7, 9, 12, 15, 19, 24, 32, Problems A,B
Dec 16 – Dec 20	Final Exam (Dec. 16, 2:00pm-3:50pm)