Math 432 Assignments

General remarks

  1. Homework should be legible and neat, and pages should be fastened with a staple or paperclip.

  2. Homework will be collected on Fridays and will cover the material through Wednesday's lecture (roughly). You should start attempting the problems as soon as possible after the material is presented in lecture. Please don't save it all for Thursday night.

  3. Solutions should be written carefully, using good English, complete sentences, and adequate detail. Some of these solutions will be proofs. A good guideline here is that you should write proofs the way you would like to see them in your textbook.

  4. Some of the problems have hints (not necessarily complete solutions) in the back of the book. If you get stuck on a problem, you might find it helpful to look at a nearby unassigned problem that has a hint.

  5. Assigned problems may change over the term, so check the assignment each week before you do it.

Assignments will be posted here as they are given.

Assignment 1, due Friday, January 25

Skim Section 1.1 and read 2.1.

Section 2.1, p. 105: 2.13, 2.14.

Assignment 2, due Friday,  February 1

Read Sections 2.2 and 2.3.

Section 2.2, pp. 123-124: 2.23, 2.27, 2.32, 2.34
Section 2.3, pp. 146-147: 2.39(i), 2.40, 2.44, 2.48

Assignment 3, due Friday, February 8

Section 2.3, p. 147: 2.43(ii), 2.49, 2.50, 2.51

Assignment 4, due Friday, February 15

Read Section 2.4

Section 2.4, pp. 157-159: 2.52(iv,v,vi,vii) [see p. xvi], 2.53, 2.55, 2.59, 2.60, 2.63

Assignment 5, due Friday, February 22

Read Section 2.5

Section 2.5, pp. 169-171: 2.69, 2.70, 2.72, 2.81, 2.84, 2.85

Assignment 6, due Friday, February 29

Read Section 2.6

Section 2.6, pp. 190-192: 2.98, 2.100, 2.107, 2.108, 2.113

Assignment 7, due Friday, March 14

Read Sections 3.1-3.3.

Section 3.1, p.230: 3.15 (see Prop 1.43 on p. 43)
Section 3.2, pp. 234-235: 3.19, 3.20, 3.25, 3.27
Section 3.3, pp. 242-243: 3.32, 3.39

Assignment 8, due Friday, March 28

Read Section 3.4 and 3.5 (through page 267).

Section 3.4, p.251-252: 3.42, 3.48, 3.49, 3.55
Section 3.5, pp. 273-274: 3.60, 3.67 (assume R is a field in 3.67)

Assignment 9, due Friday, April 4

Read Sections 3.6 (through p.277), 3.7 (from p. 286), 3.8

Section 3.7, p. 290: 3.88, 3.89
Section 3.8, pp. 303-304: 3.93, 3.100

Assignment 10, due Friday, April 11

Section 3.8

Section 3.8, p.305: 3.103, 3.104

Assignment 11, due Friday, April 18

Read Section 4.1 (bottom of p. 339 through p. 341), 5.1, 5.2 (through p. 457)

Section 2.7, p.207: 2.126
Section 3.8, p.304: 3.101
Section 5.1, p.448: 5.6
Section 5.2, p.470: 5.18

Assignment 12, due Friday, April 25

Read the rest of Section 5.2

Section 5.2, p.470: 5.21, 5.22, 5.23

Assignment 13, due Friday, May 2

Section 5.2, p.470-471: 5.26, 5.27(i), 5.31

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Last modified: April 24, 2008