Homework Assignments for Block I **RINGS AND FIELDS** 
Lesson # 
Date(s) 
Section  Topic 
Homework Assignment 
1 
Jan. 14 
18 
Course Overview Introduction to Rings 
Read Section 18; Do problems: pp. 174177 #6, 10, 11, 18, 24, 25, 33, 35, 38, 44, 48, 50 (Due Mon., Jan. 21) & Presentations: pp. 174177 #40, 41, 51, 52, 53 (Due Fri., Jan. 18) 
2 
Jan. 16 
18 
Rings and Fields Problemsolving 

3 
Jan. 18 
18 
Student Presentations  
4 
Jan. 21 
19 
Integral Domains  Read Section 19; Do problems: pp. 182 184 #2, 3, 10, 14, 17, 23, 26, 27, 30 (Due Fri., Jan. 25) 
5 
Jan. 23 
19 
Integral Domains/Characteristic of a Ring  
6 
Jan. 25 
20 
Fermat's Little Theorem  Read Section 20; Do problems: pp. 189190 #4, 10, 1719, 23, 24, 2730 (Due Fri., Feb. 1) 
7 
Jan. 28 
20 
Euler's Theorem  
8 
Jan. 30 
21 
The Field of Quotients  Read Section 21; Do problems: pp. 196197 #2, 4 (Due Mon., Feb. 4 but not to be collected) 
9 
Feb. 1 
22 
Rings of Polynomials  Read Section 22; 
10 
Feb. 4 
22 
The Evaluation Homomorphisms  
11 
Feb. 6 
23 
Factorization of Polynomials  Read Section 23; Do problems: pp. 218220 #3, 7, 11, 14, 15, 19, 21, 25, 2731 (Due Mon., Feb. 11 but not to be collected) & Presentations: pp. 219220 #34, 35, 36 (if time allows, we'll talk about 2731 too) (Due Mon., Feb. 11) 
12 
Feb. 8 
23 
Factorization of Polynomials  
13 
Feb. 11 
23 
Student Presentations  
14 
Feb. 13 

Exam I (covers Sections 1823)  The takehome will be distributed; it is due Mon., Feb. 18 
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