Homework Assignments

for Block I

**RINGS AND FIELDS**

Lesson #

Date(s)

Section

Topic

Homework Assignment

1

Jan. 14

5.1

Course Overview

Introduction to Rings
Read Section 5.1;
Do problems:
pp. 260-263 #2, 6, 12, 24, 55
(Due Mon., Jan. 21)

& Presentations:
pp. 260-263 #38 & 41 (Group I), 32 & 42 (Group II)
(Due Fri., Jan. 18)

2

Jan. 16

5.1

Rings and Fields

Problem-solving
Do problems:
pp. 260-263 #16, 18, 19, 33, 49
(Due Mon., Jan. 21)

3

Jan. 18

5.1

Student Presentations  

4

Jan. 21

5.2

Integral Domains Read Section 5.2;
Do problems:
pp. 268-270 #4, 7, 9, 11, 17, 25-27
(Due Fri., Jan. 25 but not to be collected)

5

Jan. 23

5.2

Integral Domains  

6

Jan. 25

5.3

Fermat's Little Theorem Read Section 5.3;
Do problems:
pp. 276-277 #2, 4, 10, 23-27
(Due Fri., Feb. 1)

7

Jan. 28

5.3

Euler's Theorem  

8

Jan. 30

5.4

The Field of Quotients Read Section 5.4;
Do problems:
pp. 283-285 #2, 4, 11
(Due Mon., Feb. 4 but not collected)

9

Feb. 1

5.5

Rings of Polynomials Read Section 5.5;
Do problems:
pp. 294-297 #4, 6, 11, 15, 20, 22, 23, 27
(Due Fri., Feb. 8)

& Presentations:
pp. 297 #30 (Group I), 31 (Group II)
(Due Wed., Feb. 6)

10

Feb. 4

5.5

The Evaluation Homomorphisms  

11

Feb. 6

5.5

Student Presentations  

12

Feb. 8

5.6

Factorization of Polynomials Read Section 5.6;
Do problems:
pp. 306-308 #3, 7, 11, 13, 14, 16, 19, 21, 25, 35
(Due Wed., Feb. 13)

& Presentations:
pp. 306-308 #33, 34
(Due Wed., Feb. 13)

13

Feb. 11

5.6

Factorization of Polynomials  

14

Feb. 13

5.6

Student Presentations  

15

Feb. 15

 

Exam I (covers Sections 5.1-5.6) The take-home will be distributed; it is due Wed., Feb. 20
Back to the Kenyon Homepage Back to the Math Homepage Back to JAH's Homepage Back to JAH's Abstract II Homepage