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: 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: (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): Provide a CAREFUL write-up of: Other suggested problems (not to be collected):
|
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: |
23 |
Oct. 19 |
11 |
The Structure of Finitely Generated Abelian Groups | Provide a careful
write-up of: ***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: |
28 |
Oct. 31 |
14 |
More on Factor Groups | |
29 |
Nov. 2 |
14 |
The Fundamental Homomorphism Theorem | Do exercises on pp. 142-144:
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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