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;
Do problems:
pp. 252-254 #4, 8, 9, 14, 18, 19, 22-29
(Due Fri., Feb. 29)

& Presentations:
pp.244-245 #30, 31, 32, 33
(Due Fri., Feb. 29)

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;
Do problems:
pp. 399-401 #6, 9, 10, 16, 17, 21, 22, 23
(Due Fri., March 21)

and Presentations:
pp. 400-401 #25, 26, 27 (on Wed., March 19)

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;
Do problems:
pp. 412-413 #2, 3, 6, 7, 8, 16, 17
(Due Mon., Apr. 7 but not to be collected)

and one Presentation:
p. 407 #9 (Fri., April 4)

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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