| Date |
Sections
covered |
Suggested assignment | Comments |
| Jan. 6 |
0. Partitions and Equivalence
Relations |
#8-12, 28-36,
p. 8-10 (p. 16-17, old edition) read section 1 (0.4, old edition) |
|
| Jan. 8 |
class cancelled |
||
| Jan. 13 |
2. Binary Operations |
#1-11 odd, 14-24, 33-35, 6!,
36!, 37!, p. 25-27 (p. 38-40, old ) |
"old"="old edition" |
| Jan. 15 |
3. Isomorphic Binary Structures 4. Groups |
#1-19 odd, 26-28, 31 (30old),
33! (32old), p. 34-36 (p. 48-50 old) #1-10, 11-19 odd, 20!, 23, 25, 29-35 (27-34 old), p. 45-49 (p. 61-64 old) |
Quiz on Tuesday, Jan.20 covers sections 2,3,4 |
| Jan. 20 |
Problem solving session |
||
| Jan. 22 |
5. Subgroups | #1-29 odd, 39, 41, 42, 43, 47, 51-55, p. 55-59 (p. 71-75 old) | |
| Jan. 27 |
6. Cyclic groups |
#3-41 odd, 32, 44-48, 51, 52,
55, 56, p. 66-67 (for old edition: #3-49 odd, 52-56, 60, 61, 64, 65, p. 85-87) |
|
| Jan. 29 |
7. Generating sets |
#1,3,5,19 p. 72-73 (#34,36,38,78
p. 86-91 old) |
Homework
due on Tue, Feb.3: #28 p. 66 (#32 p. 88 old) (Draw the subgroup diagram) #46, 48 p. 67 (#54,56 p. 87 old) #43 p. 58 (#43 p. 74 old) #19 p. 73 (#78 p. 91 old) |
| Feb. 3 |
8. Groups of Permutations |
#1-11, 16-20, 23-25, 44-47,
p. 83-86 (#1-11, 16-20, 23-25, 42-45, p. 101-107 old) |
|
| Feb. 5 |
9. Orbits, Cycles |
#1-15, 20-23, 27, 29!, 30, 34!*,
35-37, p. 94-96 (#1-15, 19-22, 24, 26!, 27, 31!*, 32-34, p.115-117 old) |
Homework
due Thu. Feb. 12: #24 p. 85 (#24 p. 103 old) #46 p. 86 (#44 p. 105 old) #13 p. 94 (#13 p. 115 old) bonus pts if you can prove the theorems you state in #13 |
| Feb. 10 |
10.Cosets, Lagrange Theorem |
#1-15, 17-21, 26-32, 36-40, p.
101-104 (#1-15, 17-21, 25-31, 35-39, p. 125-128 old) |
Exam
1 postponed to Thu. Feb.19 |
| Feb. 12 |
11. Direct products |
#1-14, 21-26, 32(except d),
36(parts a-e), 46-48, 50, 52, 53, p. 111-113 (#1-14,21-26, 30(except d), 34(a-e), 43-45, 47, 49,59, p.135-139 old) |
Exam
1 on Thu. Feb. 19, covers sections 0, 2-11 |
| Feb. 17 |
Problem solving |
||
| Feb. 19 |
Exam
1 |
||
| Feb. 24 |
13. Homomorphisms |
#1-13, 16-23, 25-36, 44, 45-53
odd, p. 133-135 (p. 169-172 old) |
|
| Feb. 26 |
14. Factor Groups |
#1-23 odd, 24, 31-33, 38-40, p.
142-144 (p. 177-179 old) |
Quiz on Thu. Mar. 4 from sections 13 and 14 |
| Mar. 2 |
Problem solving session |
||
| Mar. 4 |
15. Factor-Group computations | #1-11 odd, 19, 25, 27, 34-38, p.
151-152 (#1-11 odd, 19, 25, 27, 32-36 p. 188-189 old) |
|
| Mar. 9 |
18. Rings and Fields |
#1-19 odd, 20, 23-25, 29-31,
34-44, 46-52, p. 174-177 (p. 260-263 old) |
|
| Mar. 11 |
19. Integral Domains |
#1-11 odd, 14, 15, 17, 23,
25, p. 182-183 (#1-11 odd, 14, 15, 17, 21, 23, p. 268-270 old) |
Homework
due Thu. Mar. 18: #12, 18, 37 p.175- 176 (p. 261-262 old) #25 p. 183 ( p. 270 old) |
| Mar. 16 |
20. Fermat & Euler Theorems |
#1-9 odd, 10, p. 189 (p. 276 old) |
|
| Mar. 18 |
26. Factor rings |
#1,3,9,10,11,15,17-22,24-27,30,31,
p.243--245 (p. 331-333 old) |
Exam
2 on Thu. April 6, covers sections 13-15, 18-20, 26 |
| Mar. 22 Mar. 26 |
Spring break- no classes |
Have
a good break! but devote some time to review for Exam 2 |
|
| Mar. 30 |
More on ideals & Problem solving session |
Exam
2 is postponed to Tuesday, March 6 |
Homework
due Thu. Apr. 1: #27 p. 245 (p. 333 old) #46 p. 176 (p. 263 old) #30, 31 p. 245 (p. 333 old) |
| Apr. 1 |
Review for exam 2 |
||
| Apr. 6 |
Exam 2 | ||
| Apr. 8 |
Exam 2- part2 |
||
| Apr. 13 |
27. Prime ideals, maximal ideals |
Homework
due Thu. Apr. 15: #34 p. 254 (# 30 p. 343 old) #15, 16, 17 p. 253 (p. 341 old) |
|
| Apr. 15 |
Review for Final |
Final exam is cumulative. Review
the previous exams, quizzes and homeworks. Review definitions, statements of theorems. |
|
| Apr. 20 |
Final Exam 15:30-18:15 | ||
| Have
a good summer! |
Score on the final and grade for the class | First column is the grade on the
final out of 150 pts. (maximum possible was 166). Second column is your grade for the class |
|