p. 33 #11 (see also p. 33 #10)
p. 41 #25 bc
p. 111 #10
p. 122 #8
p. 130 #13
p. 137 #8
It will cover topics on group theory, as covered in class. Here are sample review problems.
It will cover topics on rings and ideals, polynomial rings, irreducibility, and field theory as covered in class. The corresponding sections in the textbook are sections 7.4, 9.1, 9.2, 9.4, 13.1, 13.2, 13.4. Here is a long list of review problems for the test:
section 7.4, p.257 #15
section 9.4, p.311 #1ac, 2ac, 6
section 9.5, p.315 #3, 4
section 13.1, p.519 #3, 5
section 13.2, p.529 #1, 3, 5, 7, 10
section 13.4, p.545 #3, 5
It will mainly focus on the material covered in class from chapters 13 and 14 of the textbook. Please review all assigned problems, as well as the suggested review problems for test 2 (above). Here are additional review problems for the final exam: section 7.4, p.257 #15
section 13.3, p.536 #4, 5
section 13.5, p.551 #2, 5, 8, 10
section 13.6, p.555 #5, 9 (set n=2 for simplicity)
section 14.1, p.566 #1, 3, 4, 5
section 14.2, p.581 #2, 3, 4, 5, 12, 13, 14
section 14.4, p.595 #1, 2
section 14.5, p.603 #3 (see example 1 on p.597)
section 14.6, p.581 #2, 18
A student's grade will be determined by Homework Assignments, Two Midterms, and the Final Exam according to the following percentages:
40% Assignments
15% Midterm Test #1
15% Midterm Test #2
30% Final Exam
Class Notes:
week 1 01/11/21 01/13/21 01/14/21
week 2 01/18/21
01/20/21 01/21/21
week
3 01/25/21 01/27/21
week
4 02/01/21
02/03/21
week
5 02/08/21 02/10/21
week
6 02/22/21
02/24/21
week
7 03/01/21
03/03/21
week
8 03/08/21 03/10/21
week
9 03/15/21 03/17/21
week
10 03/22/21 03/24/21
week
11 03/29/21 03/31/21
week 12
04/07/21 04/08/21
week
13 04/12/21 04/14/21