Tentative* Homework Assignments for Block I - GROUPS AND SUBGROUPS - *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 |
1 |
Aug. 27 |
1 |
Course Overview Introduction and Examples |
Read Section 1; & Presentations: |
2 |
Aug. 29 |
2 |
Binary Operations | Read Section 2; |
3 |
Aug. 31 |
1&2 |
Student Presentations |
Exercises
from Section 2 collected next lesson |
4 |
Sept. 3 |
3 |
Isomorphic Binary Structures | Read Section 3; |
5 |
Sept. 5 |
4 |
Groups |
Read Section 4; Do exercises: #3, 6, 8, 9, 13, 14, 20, 21, 25, 28, 30, pp. 45-49 (Due Mon., Sept 10) & Presentations: #33, 34, 36, 41, pp. 48-49 (Due Fri., Sept. 7) |
6 |
Sept. 7 |
3&4 |
Student Presentations | Exercises from Section 4 collected next lesson |
7 |
Sept. 10 |
5 |
Subgroups | Read Section 5; Do exercises: #4-7, 9, 15, 16, 20, 22, 23, 27, 29, 35, 39, 41, 42, 54 pp. 34-36 (Due Wed., Sept. 12) & Presentations: #46, 57, pp. 35-36 (Mon., Sept. 17) |
8 |
Sept. 12 |
6 |
Cyclic Groups | Read Section
6; Part II: #10, 11, 14, 15, 23, 27, 32, 40, 49 pp. 66-68 ***Quiz on Monday, Sept. 17, covering the proof of Theorem 6.6 (Every subgroup of a cyclic group is cyclic)*** |
9 |
Sept. 14 |
6 |
Cyclic Groups | |
10 |
Sept. 17 |
5&6 |
Student Presentations | Read Section 8; Exercises from Section 6 collected next lesson |
11 |
Sept. 19 |
8 |
Groups of Permutations | Do exercises: #3-5, 7, 8, 10, 20-22, 24-26, 32, 33 pp. 83-87 (Due Fri., Sept 21) |
12 |
Sept. 21 |
8 |
Groups of Permutations | Do exercises: |
13 |
Sept. 24 |
Introduction to GAP | Finish GAP project; Exam I next lesson covering Sections 1-6 & 8 |
|
14 |
Sept. 26 |
Exam I | Take-home distributed today; it is due on Mon., Oct. 1. |
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