This is a listing of all assigned homework; there is a separate listing of what was done in each class.Reading assignments should be done right away.
Homework should be done as soon as possible; harder problems might be worth working on for a longer time, though. It is not required that homework solutions be handed in. However, students may hand solutions in for a critique at any time.
Come to class ready to discuss any examples or problems that you were not sure of.
References are to the textbook for this class, Algebra, by M. Artin.
Classes are described in reverse time order.
Class 29 (Th 12/9): do pp. 263-264 (for 7.2) #2, 8, 9, 10 (which
mainly relate to 7.1).
Class 28 (Tu 12/7): dp pp. 262-263 (for 7.1) #1, 2, 3, 4.
Class 27 (Th 12/2): read 7.1 and p. 247 for Tu 12/7; do pp. 149-150
(for 4.6) #4, 7, 8, 9, 10, 11, 13.
Class 26 (Tu 11/30): read 4.6 for Th 12/2 (and then we skip to chapter 7).
Thanksgiving vacation.
Class 25 (Th 11/18): nothing new.
Class 24 (Tu 11/16): do pp. 148-149 (for 4.5) #1, 2, 5, 6, 7, 9, 13.
Class 23 (Th 11/11): Read 4.5 for Tu 11/16.
Class 22 (Tu 11/9): nothing new.
Class 21 (Th 11/4): nothing new.
Class 20 (Tu 11/2): Do pp. 147-148 (for 4.4) #2, 3, 4, 7, 8, 9, 10; p. 152 (Misc.) #1, 5, 15abc, 16.
Class 19 (Th 10/28): Read 4.4. Do pp. 146-147 (for 4.3) #3, 4, 6, 8, 9, 10 , and four more problems on another handout.Class 18 (Tu 10/26): Read 4.3. Do pp. 145-146 (for 4.2) #1, 4, 6,
9; p. 152 (Misc) #6, 8.
Class 17 (Th 10/21): nothing new.
Class 16 (Tu 10/19): Read 4.2. Do p. 145 (for 4.1) #1 and four more
problems on a handout.
Class 15 (Th 10/14): Read 4.1. Do pp. 107-108 (for 3.5) #1, 7; (for
3.6) #2; Misc #3.
Class 14 (Tu 10/12): Read 3.5 and 3.6. Do pp. 106-107 (for 3.4) #2,
3, 5, 7, 8; Misc #2, 7.
Class 13 (Th 10/7): Read 3.4.
Class 12 (Tu 10/5): nothing new.
Class 11 (Th 9/30): nothing new.
Class 10 (Tu 9/28): Do p. 106 (for 3.3) #5, 11, 12, 16.
Class 9 (Th 9/23): Do pp. 105-106 (for 3.3) #1, 2, 4, 6, 8.
Class 8 (Tu 9/21): Read 3.3. Do pp. 104-105 (for 3.1) #1, 2, 3, 6, 7 and (for 3.2) #1, 11, 17.
Class 7 (Th 9/16): Read 3.1 and 3.2. Do p. 69 (for 2.1) #1, 3, 9,
10 and p. 77 (Misc) #3.
Class 6 (Tu 9/14): Read 2.1. Do pp. 36-37 (for 1.5) #1, 3, see
Theorem 5.7; (Misc.) #1, 5a; and 4 problems on a handout.
Class 5 (Th 9/9): Read 1.5. Do pp. 35-36 (for 1.4) #1, 3, 4, 5, 6. (There is a typo in #6; the map should take i to (n+1)-i, not to n-i.)
Class 4 (Tu 9/7): Read 1.4. No new problems.
Class 3 (Th 9/2): Read the handout on determinants. Do pp. 34-35 (for 1.3) #4a, 5, 8, 9, 10, 12, [13].
Class 2 (Tu 8/31): Read 1.3. Do pp. 33-34 (for 1.2) #1, 5, 9, 12,
17. Also, as a longer term project, become familiar with the transpose
operation on matrices and its properties: check the identites in (2.24)
p. 18 and do pp. 33-34 (for 1.2) #12, 13, 14.
Class 1 (Th 8/26): Read 1.1 and 1.2. Do pp. 31-33 (for 1.1) #5,
6, 12, 15, 19, 20.