All section numbers are from Saracino, Abstract Algebra, a First Course, 2nd edition.
Videos may be found on the Math-350 moodle site.
This table will grow as the semester progresses and more problem sets are assigned.
Click here for more homework rules.
| Reading and Problem Sets | |||||
|---|---|---|---|---|---|
| Set Number | Due | Sections to Read | Videos to Watch | Problem List Handout | Solutions |
| 0 | Wed, Jan 29 | -- | -- | Homework 0 | N/A |
| 1 | Fri, Jan 31 | 0, 1, 2 |
Video 1 (Sample Proof)
Video 2 (Induction) | Homework 1 |
Solutions to Homework 1
|
| 2 | Tue, Feb 4 | 2, 3 |
Video 3 (Proving G is a group)
Video 4 (Adding modulo n) [Optional: Video 5 (One-sided Identities or Inverses)] | Homework 2 | Solutions to Homework 2 |
| 3 | Fri, Feb 7 | 3, 4 |
Video 6 (Powers of Group Elements)
Video 7 (Greatest Common Divisors) | Homework 3 |
Solutions to Homework 3
|
| 4 | Tue, Feb 11 | 4 |
Video 8 (The Euclidean Algorithm)
[Optional: Video 9 (Proof of the Euclidean Algorithm)] | Homework 4 | Solutions to Homework 4 |
| 5 | Fri, Feb 14 | 5 |
Video 10 (The mx+ny Theorem)
[Optional Video 11 (Another mx+ny Proof)] Video 12 (Proof of the Order Theorem) | Homework 5 |
Solutions to Homework 5
|
| 6 | Tue, Feb 18 | 5-6 |
Video 13 (Subgroups of Cyclic Groups)
[Optional: Video 14 (Combining Infinitely Many Groups)] | Homework 6 | Solutions to Homework 6 |
| 7 | Fri, Feb 21 | 6 | Video 15 (Products of Cyclic Groups) | Homework 7 |
Solutions to Homework 7
|
| 8 | Tue, Feb 25 | 7-8 |
[Optional: Video 16 (Sun Tzu's Theorem)]
[Optional: Video 17 (Rigorous Definition of Function)] | Homework 8 | Solutions to Homework 8 |
| 9 | Fri, Feb 28 | 8-9 | Video 18 (Cycle Notation Proof) | Homework 9 |
Solutions to Homework 9
|
| 10 | Tue, Mar 11 | 8-9 |
[Optional: Video 19 (Even and Odd Permutations)]
Video 20 (The Equivalence Class Theorem) | Homework 10 | Solutions to Homework 10 |
| 11 | Fri, Mar 14 | 9-10 |
[Optional: Video 21 (Generating Sets)]
Video 22 (Multiplication mod n is a Group) | Homework 11 |
Solutions to Homework 11
|
| 12 | Tue, Mar 25 | 10-11 |
Video 23 (The Class Equation)
[Optional: Video 24 (Conjugacy Classes in Sn)] | Homework 12 | Solutions to Homework 12 |
| 13 | Fri, Mar 14 | 11 |
[Optional: Video 25 (Another Coset Multiplication Proof)]
Video 26 (Some Special Group Constructions) | Homework 13 |
Solutions to Homework 13
|
| 14 | Tue, Apr 1 | 11-12 | [Optional: Video 27 (Cauchy's Theorem for Abelian Groups)] | Homework 14 | Solutions to Homework 14 |
| 15 | Fri, Apr 4 | 12-13 | [Optional: Video 28 (Cayley's Theorem)] | Homework 15 |
Solutions to Homework 15
|
| 16 | Tue, Apr 15 | 13, 16 |
[Optional: Video 29 (Multiplication Modulo n: Extra)]
Video 30 (Simple Groups) | Homework 16 | Solutions to Homework 16 |
| 17 | Fri, Apr 18 | 16-17 |
Video 31 (Types of Rings)
[Optional: Video 32 (Subrings)] Video 33 (Proofs on Prime Ideals) | Homework 17 |
Solutions to Homework 17
|
| 18 | Fri, Apr 25 | 17-18 |
Video 34 (Maximal Ideals and Fields)
[Optional: Video 35 (The Minimal Subfield)] [Optional: Video 36 (The First Isomorphism Theorem for Rings)] | Homework 18 |
--
|
| 19 | Tue, Apr 29 | 18-19 |
Video 37 (Polynomial Terminology)
Video 38 (Proving Irreducibility) | Homework 19 | -- |