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

Sept. 28

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. 3)

& Presentations:
pp. 94-96:

Group 1:
#27a) & 30
Group 2: #27b) & 31
Group 3: #27c) &32

(Mon., Oct. 1)

Which group are you in? Click here.

16

Oct. 1

9

Orbits, Cycles, and the Alternating Group

17

Oct. 3

10

Introduction to Cosets

Read Section 10;

 Do exercies on pp. 101-104:
#2, 3, 5, 6-9, 11, 12, 13, 15, 16, 19
(Due Wed., Oct. 10)

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

18

Oct. 5

8 & 9

Exploring Rubik's Cube with GAP Finish Rubik's Cube Project


 

Oct. 6-9

  **October Reading Days**  

19

Oct. 10

10

Cosets and Lagrange's Theorem

Presentations of Properties from the Handout next lesson (Fri., Oct. 12)

More Presentations (on pp. 102-103):
#27, 35, 36, 39, 40
( Mon., Oct. 15)

Provide a CAREFUL write-up of:
#28, 29
(p. 103)
(to be collected on Wed., Oct. 17)

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

20

Oct. 12

10

Student Presentations of Properties of Cosets
21
Oct. 15
10
Student Presentations

Read Section 11;

22

Oct. 17

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 Mon., Oct. 22)


& Presentations:
#52, 53, 54 (Mon., Oct. 22)

23

Oct. 19

11

The Structure of Finitely Generated Abelian Groups

Provide a careful write-up of:
#50, 51
(on pp. 110-113)
(Due Wed., Oct. 24)

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

24

Oct. 22

11

Student Presentations and Problem-solving

Read Section 13;

25

Oct. 24

13

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


& Presentations:
#44, 45, 50, 55 (Friday., Oct. 26)

26

Oct. 26

13

Homomorphisms Do exercises on pp. 133-135:
#36, 38, 40, 47, 51, 52
(Due Wed., Oct. 31)

27

Oct. 29

14

Factor Groups

Read Section 14;

Do exercises on pp. 142-144:
#2, 6, 7, 10, 14, 21, 23, 25, 34, 35
(Due Mon., Nov. 5, but not to be collected)

28

Oct. 31

14

More on Factor Groups

29

Nov. 2

14

The Fundamental Homomorphism Theorem

Do exercises on pp. 142-144:
#24, 30, 32, 33
(Due Mon., Nov. 5 but not to be collected)

SET project due today!

30

Nov. 5

14

Leeway/Review  

31

Nov. 7

 

Exam II Note: Exam II covers Sections 8-11 & 13-14. The take-home portion is due on Mon., Nov. 12.
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