Homework Assignments for Block II **FACTOR RINGS, IDEALS, AND FACTORIZATION** |
Lesson # |
Date(s) |
Section | Topic |
Homework Assignment |
15 |
Feb. 15 |
26 |
Homomorphisms and Factor Rings | Read Section 26; Do problems: pp. 243-245 #1, 3, 9, 10, 12, 20, 21, 25, 27, 29 (Due Fri., Feb. 22 but not to be collected) & Presentations: pp.244-245 #32, 33, 34, 35, 36 (Due Wed., Feb. 20) |
16 |
Feb. 18 |
26 |
Problem-solving | |
17 |
Feb. 20 |
26 |
Student Presentations | |
18 |
Feb. 22 |
27 |
Prime and Maximal Ideals | Read Section
27; & Presentations: |
19 |
Feb. 25 |
27 |
Prime and Maximal Ideals | |
20 |
Feb. 27 |
27 |
Prime and Maximal Ideals | |
21 |
Feb. 29 |
27 |
Student Presentations | |
Mar. 1-16 |
***Spring Break*** | |||
22 |
Mar. 17 |
45 |
Unique Factorization Domains and Principal Ideal Domains | Read Section 45; Two Proof "synopses" (Due Monday, March 24) |
23 |
Mar. 19 |
45 |
Student Presentations | |
24 |
Mar. 21 |
45 |
More on UFDs and PIDs | |
25 |
Mar. 24 |
46 |
Euclidean Domains | Read Section 46; Do problems: pp. 406-407 #2, 3, 6, 7, 13, 14, 17, 19 (Due Mon., Mar. 31) and Presentations: p. 407 #15, 16, 18, 20 (Fri. Mar. 28) |
26 |
Mar. 26 |
46 |
Euclidean Domains | |
27 |
Mar. 28 |
46 |
Student Presentations | |
28 |
Mar. 31 |
47 |
Gaussian Integers and Norms | Read Section 47; |
29 |
Apr. 2 |
47 |
Gaussian Integers and Norms | |
30 |
Apr. 4 |
47 |
Student Presentations and Problem-solving | |
31 |
Apr. 7 |
29 |
Extension Fields | Read Section 29; Do problems: pp.272-274 #5, 6, 8, 11-13, 25, 26 (Due Wed., Apr. 9) |
32 |
Apr. 9 |
29 |
Extension Fields | Do problems: pp.272-274 #23, 29, 33-35 (Due Fri., Apr. 18) |
33 |
Apr. 11 |
47 |
Exam II (covers Sections 26-27 and 45-47) | The take-home will be distributed; it is due Wed., Apr. 16 |
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