All section numbers are from Saracino, Abstract Algebra, a First Course, 2nd edition.
Videos may be found on the Math-350-01 moodle site.
This table will grow as the semester progresses and more problem sets are assigned.
Click here for more homework rules.
| Reading, Videos, and Problem Sets | |||||
|---|---|---|---|---|---|
| Set Number | Due | Sections to Read | Videos to Watch | Problem Sheet | Solutions |
| 0 | Wed, Jan 28 | -- | -- | Homework 0 | N/A |
| 1 | Fri, Jan 30 | 0, 1, 2 |
Video 1 (Sample Proof)
Video 2 (Induction) | Homework 1 |
Solutions to Homework 1
|
| 2 | Tue, Feb 3 | 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 6 | 3, 4 |
Video 6 (Powers of Group Elements)
Video 7 (Greatest Common Divisors) | Homework 3 |
Solutions to Homework 3
|
| 4 | Tue, Feb 10 | 4 |
Video 8 (The Euclidean Algorithm)
[Optional: Video 9 (Proof of the Euclidean Algorithm)] | Homework 4 |
Solutions to Homework 4
|
| 5 | Fri, Feb 13 | 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 17 | 6 |
Video 13 (Subgroups of Cyclic Groups)
[Optional: Video 14 (Combining Infinitely Many Groups)] | Homework 6 |
Solutions to Homework 6
|
| 7 | Fri, Feb 20 | 6 | Video 15 (Products of Cyclic Groups) | Homework 7 |
Solutions to Homework 7
|
| 8 | Tue, Feb 24 | 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 27 | 8 | Video 18 (Cycle Notation Proof) | Homework 9 | Solutions to Homework 9 |
| 10 | Tue, Mar 10 | 8-9 |
[Optional Video 19 (Even and Odd Permutations)]
Video 20 (The Equivalence Class Theorem) | Homework 10 |
Solutions to Homework 10
|
| 11 | Fri, Mar 13 | 9-10 |
[Optional Video 21 (Generating Sets)]
Video 22 (Multiplication mod n is a Group) | Homework 11 | Solutions to Homework 11 |
| 12 | Tue, Mar 24 | 10-11 |
Video 23 (The Class Equation)
[Optional Video 24 (Conjugacy Classes in Sn)] | Homework 12 | Solutions to Homework 12 |
| 13 | Fri, Mar 27 | 11 |
Video 25 (The Normal Subgroup Theorem)
[Optional Video 26 (Another Coset Multiplication Proof) Video 27 (Some Special Group Constructions) | Homework 13 | Solutions to Homework 13 |
| 14 | Tue, Mar 31 | 11-12 | [Optional Video 28 (Cauchy's Theorem for Abelian Groups)] | Homework 14 | Solutions to Homework 14 |
| 15 | Fri, Apr 3 | 12-13 | [Optional Video 29 (Cayley's Theorem)] | Homework 15 | Solutions to Homework 15 |
| 16 | Thu, Apr 9 | 13, 16 |
[Optional Video 30 (Multiplication Modulo n: Extra)]
Video 31: Simple Groups | Homework 16 | Solutions to Homework 16 |
| 17 | Fri, Apr 17 | 16-17 |
Video 32: Types of Rings
[Optional Video 33 (Subrings)] Video 34: Proofs on Prime Ideals | Homework 17 | Solutions to Homework 17 |
| 18 | Fri, Apr 24 | 17-18 |
Video 35: Maximal Ideals and Fields
[Optional Video 36 (The Minimal Subfield)] [Optional Video 37 (The First Isomorphism for Rings)] | Homework 18 | Solutions to Homework 18 |
| 19 | Tue, Apr 28 | 18-19 |
Video 38: Polynomial Terminology
Video 39: Proving Irreducibility | Homework 19 | Solutions to Homework 19 |
| 20 | Fri, May 1 | 19 |
[Optional Video 40 (Reduction of Polynomials)]
[Optional Video 41 (Proof of Eisenstein)] Video 42: Maximal and Irreducible | Homework 20 | Solutions to Homework 20 |
| 21 | Tue, May 5 | 20-21 |
[Optional Video 43 (Norms, Units, and (non)UFDs)]
[Optional Video 44 (Every PID is a UFD)] [Optional Video 45 (Z[i] is a PID)] | Homework 21 | Solutions to Homework 21 |