Tentative* Homework Assignments

for Block I

- GROUPS AND SUBGROUPS -

*Assignments listed in advance of a particular lesson may change from what is listed below. (Although they certainly won't change after the lesson!) Check this site regularly to ensure you have accurate information.

Lesson #

Date(s)

Section

Topic

Homework Assignment

1

Aug. 31

1

 Course Overview

Introduction and Examples

Read Section 2.
Do exercises from Section 1:
#4, 7, 8, 11, 14-16, 18, 26, 27, 30, 37, 38, 41 pp. 19-20
(to be collected on Fri., Sept. 4)

& Presentations:
#33-36, p.19
(Fri., Sept. 4)

2

Sept. 2

2

 Binary Operations

Do exercises from Section 2:
#5, 6, 9, 10, 20, 22-24, 28, 31, 32, pp. 25-28
(to be collected on Mon., Sept. 7)

& Presentations:
pp. 27-28: #26, 35, 36, 37
(Fri., Sept. 4)

3

Sept. 4

1&2

Student Presentations

Exercises from Section 2 collected next lesson

Read Section 3;

4

Sept. 7

3

 Isomorphic Binary Structures

Read Section 4;
Do exercises from Section 3:
#7, 8, 14 -16, 23, 26-28 pp. 34-36
(Due Wed., Sept. 9)

& Presentations:
# 31, 32, p. 36
(Fri., Sept. 11)

5

Sept. 9

4

Groups

 Do exercises from Section 4:
#3, 6, 8, 9, 13, 14, 20, 21, 25, 28, 30, pp. 45-49
(Due Mon., Sept 14)

& Presentations:
#33, 34, 36, 41, pp. 48-49
(Due Fri., Sept. 11)

6

Sept. 11

3&4

 Student Presentations

Exercises from Section 4 collected next lesson

Read Section 5;

7

Sept. 14

5

 Subgroups

Do exercises from Section 5:
#4-7, 9, 15, 16, 20, 22, 23, 27, 29, 35, 39, 41, 42, 54
(Due Wed., Sept. 16)

& Presentations:
#46, 57, pp. 58-59
(Mon., Sept. 21)

Read Section 6;

8

Sept. 16

6

 Cyclic Groups


Do exercises from Section 6:
Part I: #3, 5, 17, 19, 20, 33-37, 44, 46 pp. 66-68

Part II: #10, 11, 14, 15, 23, 27, 32, 40, 49 pp. 66-68
(Due Wed., Sept 23)

& Presentations:
pp. 67-68: #51, 52, 55, 56 p.67-68
(Mon., Sept. 21)

***Quiz on Monday, Sept. 21, covering the proof of Theorem 6.6 (Every subgroup of a cyclic group is cyclic)***

9

Sept. 18

6

 Cyclic Groups

10

Sept. 21

5&6

 Student Presentations Read Section 8; 
Exercises from Section 6 collected next lesson

11

Sept. 23

8

 Groups of Permutations Do exercises:
#3-5, 7, 8, 10, 20-22, 24-26, 32, 33 pp. 83-87
(Due Fri., Sept 25, but not to be collected)
12
Sept. 25
8
 Groups of Permutations

Do exercises:
#11, 13, 15 ,17, 35, 41, 43, 44, 48 pp. 83-87
(Due Mon., Sept. 28 but not to be collected)
13
Sept. 28
Introduction to GAP

Finish GAP project;

Exam I next lesson covering Sections 1-6 & 8

14

Sept. 30
Exam I Take-home distributed today; it is due on Mon., Oct. 5.
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