Tentative* Homework Assignments

for Block II

- GROUPS, COSETS, AND FACTOR GROUPS -

*Assignments listed beyond a week from the current lesson may change slightly. Check this site regularly to ensure you have accurate information.

Lesson #

Date(s)

Section

Topic

Homework Assignment

15

Oct.2

9

 Orbits, Cycles, and the Alternating Group

Read Section 9;

Do exercises on pp. 94-96:
#2, 6, 8, 9, 12, 18, 23, 26, 28, 29, 33, 36, 37
(Due Wed., Oct. 7)

& Presentations:
pp. 94-96:
Group 1: #27a) & 30
Group 2: #27b) & 31
Group 3: #27c) &32
(Mon., Oct. 5)

Which group are you in? Click here.

 

16

Oct. 5

9

 Orbits, Cycles, and the Alternating Group Read Section 10;

17

Oct. 7

10

 Introduction to Cosets

Do exercises on pp. 101-104:
#2, 3, 5, 6-9, 11, 12, 13, 15, 16, 19
(Due Fri., Oct. 9)

(Note: #6, 7 appeared at the end of today's handout)

18

Oct. 9

10

 Cosets and Lagrange's Theorem

Presentations of Properties from the Handout (Wed., Oct. 14)

More Presentations (on pp. 102-103):
#27, 35, 36, 39, 40
( Fri., Oct. 16)

Provide a CAREFUL write-up of:
#28, 29 (p. 103)
(to be collected on Mon., Oct. 19)

Other suggested problems (not to be collected):
#26, 41, 42, 44 (p. 102-103)

* * * * October 10-13  * * * * October Reading Days * * * *

19

Oct. 14

10

 Student Presentations of Properties of Cosets

Presentations (on pp. 102-103):
#27, 35, 36, 39, 40
( Fri., Oct. 16)

Provide a CAREFUL write-up of:
#28, 29 (p. 103)
(to be collected on Mon., Oct. 19)

20

Oct. 16

10

 Student Presentations of Properties of Cosets  
21
Oct. 19

8, 9, 10

 Exploring Rubik's Cube with GAP

 

Finish Rubik's Cube Project

Read Section 11.

22

Oct. 21

11

 Direct Products

Do exercises on pp. 110-113:
#1, 6, 7, 8, 10, 12, 13, 14, 16, 20, 24, 29, 32, 36, 43
(Due Fri., Oct. 23)

& Presentations:
#52, 53, 54 (Mon., Oct. 26)

23

Oct. 23

11

 The Structure of Finitely Generated Abelian Groups

Provide a careful write-up of:
#50, 51 (on pp. 110-113)
(Due Wed., Oct. 28)

***SET project distributed; Due Mon., Nov. 2***

24

Oct. 26

11

Student Presentations and Problem-solving

Read Section 13;

25

Oct. 28

13

 Homomorphisms Do exercises on pp. 133-135:
#4, 5, 8 , 9, 15, 16, 18, 20, 21, 23-26, 29, 32
(Due Wed., Nov. 4)

& Presentations:
#44, 45, 50, 55 (Friday., Oct. 30)

26

Oct. 30

13

 Homomorphisms

Do exercises on pp. 133-135:
#36, 38, 40, 47, 51, 52
(Due Wed., Nov. 4)

Read Section 14.

SET project due next lesson!

27

Nov. 2

14

 Factor Groups

Do exercises on pp. 142-144:
#2, 6, 7, 10, 14, 21, 23, 25, 34, 35
(Due Fri., Nov. 6, but not to be collected)

28

Nov. 4

14

 More on Factor Groups

29

Nov. 6

14

 The Fundamental Homomorphism Theorem

Do exercises on pp. 142-144:
#24, 30, 32, 33
(Due Mon., Nov. 9, but not to be collected)

30

Nov. 9

14

 Leeway/Review  

31

Nov. 11

 

 Exam II Note: Exam II covers Sections 8-11 & 13-14. The take-home portion is due on Mon., Nov. 16.
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