Math 31 - Fall 2011

Dartmouth College


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Date Day Topic Homework Important Events
21-Sept Wednesday Survey, syllabus, intro to reading math Read Sections 0 and 1. Post a comment on Blackboard by 10 PM Thursday
23-Sept Friday Section 1, Sets and Binary Relations Homework 1 Due Friday, Sept 30
26-Sept Monday Symmetric Groups Quiz 1
27-Sept Tuesday What is a good proof?
28-Sept Wednesday Section 2, Groups
30-Sept Friday Section 3, Fundamental Theorems Read Section 4, up to Theorem 4.4. Post a comment on Blackboard by 10 PM Sunday

Homework 2 Due Friday, Oct 7

Homework 1 Due

Homework 1 solutions

3-Oct Monday Section 4, Euclidean Algorithm Read the rest of Section 4. Post a comment on Blackboard by 10 PM Tuesday Quiz 2
4-Oct Tuesday Number Theory!
5-Oct Wednesday Section 4, Cyclic Groups Read Section 5. Post a comment on Blackboard by 10 PM Thursday
7-Oct Friday Section 5: Subgroups Homework 3 Due Friday, Oct 14 Homework 2 Due

Homework 2 solutions

10-Oct Monday Section 5, take 2 Read Section 6. Post a comment on Blackboard by 10 PM Tuesday Quiz 3
11-Oct Tuesday Logic and Proofwriting
12-Oct Wednesday Section 6, Direct Products; Additive vs Multiplicative Notation
14-Oct Friday Section 7, Functions Review Sections 0-7. Post any lingering questions or confusion on Blackboard by 10 PM Sunday

Homework 4 Due Monday, Oct 24

Homework 3 Due

Homework 3 solutions

17-Oct Monday Review Sections 0-7 Read Section 8. Post a comment on Blackboard by 10 PM Monday Quiz 4
18-Oct Tuesday Section 8, The Symmetric Group Read Section 12. Post a comment on Blackboard by 10 PM Tuesday
19-Oct Wednesday Section 12, Homomorphisms
21-Oct Friday Section 12, Continued Study for Midterm!

Homework 5 Due Friday, October 28

24-Oct Monday Cosets Read Section 9. Post a comment on Post a comment on Blackboard by 10 PM Monday Quiz 5

Homework 4 due

25-Oct Tuesday Section 9, Cosets and Equivalence Relations Homework 4 solutions
26-Oct Wednesday Create rubric for presentations
28-Oct Friday Midterm Exam Take-home Midterm handed out;
Homework 5 Due

Homework 5 solutions

Halloween Monday Cool Theorems/Tying Up Loose Ends
1-Nov Tuesday Office Hours Read Section 11. Post a comment on Blackboard by 10 PM Tuesday
2-Nov Wednesday Section 11, Normal Subgroups Midterm due today
4-Nov Friday Finish Section 11; Start Section 13, Homomorphisms and Normal Subgroups Read Section 13. Post a comment on Blackboard by 10 PM Sunday

Homework 6 Due Friday, November 11

7-Nov Monday Section 13 Quiz 6
8-Nov Tuesday Presentations
9-Nov Wednesday More Section 13 Read Section 14, pages 133-137 (*NOT* the proof of Corollary 14.6!). Post a comment on Blackboard by 10 AM Friday
11-Nov Friday Section 14, Fundamental Theorem of Finite Abelian Groups Read Section 16. Post a comment on Blackboard by 10 PM Sunday

Homework 7 Due Friday, Nov 18

Homework 6 Due

Homework 6 solutions

14-Nov Monday Section 16, Rings

World of Rings

Read Section 17. Post a comment on Blackboard by 10 PM Tuesday Quiz 7
15-Nov Tuesday Presentations
16-Nov Wednesday Section 17, Subrings
18-Nov Friday Section 18, Ring Homomorphisms Homework 7 Due

Homework 7 solutions

21-Nov Monday Section 18 Homework 8 Due Wednesday, Nov 30

Review Section 17. Post a comment on Blackboard by 10 PM Sunday, November 27

Quiz 8
22-Nov Tuesday Presentations
23-Nov Wednesday No Class Thanksgiving Vacation
25-Nov Friday No Class Thanksgiving Vacation
28-Nov Monday Finish Section 17; Review Rings
29-Nov Tuesday Presentations
30-Nov Wednesday Finish Sections 17 and 18 Last Day of Class;
Homework 8 Due
3-Dec Saturday 8:00 AM Final Exam
in Kemeny 007