All section and problem numbers are from Cox, Galois Theory, 2nd edition.
Videos may be found on the Math-410 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 | 1.1, 1.2 |
Video 1: Ferrari and the Quartic Video 2: Review of Polynomial Rings | Homework 1 |
Solutions to Homework 1
|
| 2 | Wed, Feb 4 | 2.1, 2.2 |
Video 3: Monomial Ordering and Symmetric Polynomials | Homework 2 |
Solutions to Homework 2
|
| 3 | Wed, Feb 11 |
A.4, 2.4, 3.1, 3.2, 4.1 |
Video 4: Group Actions
Video 5: Adjointing Roots via Quotient Rings Video 6: On Complex Roots | Homework 3 |
Solutions to Homework 3
|
| 4 | Wed, Feb 18 | 4.1, 4.2, 4.3 |
Video 7: Some Proofs on
Adjoining Elements [Optional Video 8: Proof of Eisenstein's Criterion] [Optional Video 9: Straightedge and Compass] | Homework 4 |
Solutions to Homework 4
|
| 5 | Wed, Feb 25 | 4.4, 5.1 |
Video 10: Algebraic over
Algebraic [Optional Video 11: Algebraic Integers] Video 12: Splitting Field Degree | Homework 5 |
Solutions to Homework 5
|
| 6 | Wed, Mar 4 | 5.2, 5.3 |
Video 13: Mapping One Root
to Another Video 14: Normal and Splitting [Optional Video 15: An Alternative Normality Proof] Video 16: Definining Separability | Homework 6 |
Solutions to Homework 6
|
| 7 | Wed, Mar 11 | 5.3, 5.4 |
Video 17: Separable Degree,
Part 1 Video 18: Separable Degree, Part 2 | Homework 7 | Solutions to Homework 7 |
| 8 | Wed, Apr 1 | 6.1, 6.2, 6.3 |
Video 19: Another Proof
of Galois Degree Video 20: Galois as Permutations Video 21: Semidirect Products | Homework 8 | Solutions to Homework 8 |
| 9 | Wed, Apr 8 | 6.4, 7.1, 7.2 |
Video 22: The Universal Extension
Video 23: More Fixed Field Results | Homework 9 | Solutions to Homework 9 |
| 10 | Wed, Apr 15 | 7.2, 7.3, 7.4 |
[Optional Video 25: Counting
Conjugate Fields] [Optional Video 26: Infinite Galois Extensions] Video 27: Another Proof of a Key Lemma | Homework 10 | Solutions to Homework 10 |
| 11 | Wed, Apr 22 | 8.1, 8.2, 8.3 |
Video 28: Finitely Many
Intermediate Fields Video 29: A Function Field Fact [Optional Video 30: Some Advanced Group Theory Results] Video 31: Radical vs Solvable | Homework 11 | Solutions to Homework 11 |
| 12 | Wed, Apr 29 | 8.3, 8.4, 9.1 |
Video 32: Galois and Radical
Video 33: A Solvability Lemma Video 34: A Galois Degree Lemma | Homework 12 | Solutions to Homework 12 |
| 13 | Tue, May 5 | 9.1, 11.1, 11.2 |
Video 35: Cardano, Ferrari, Radical, Solvable
Video 36: A Cyclotomic Galois Group Video 3y: Cyclic Multiplicative Group | Homework 13 | Solutions to Homework 13 |