Schedule :: Spring 2012
Section 001 Meetings :: Mondays and Wednesdays, in Bear 164, from 02:00-03:15p| Day | Section | Topic |
|---|---|---|
| Wed, January 11 | Overview | |
| Mon, January 16 | Martin Luther King State Holiday | |
| Wed, January 18 | 3.1 | Review of Splitting Fields and Separability |
| Mon, January 23 | 3.2 | Fundamental Theorem of Galois Theory |
| Wed, January 25 | 3.2 | Applications of Galois Theory |
| Mon, January 30 | 3.2 | Fundamental Theorem of Algebra via Galois Theory |
| Mon, February 6 | 4.1 | Finite Abelian Groups: Primary Decomposition |
| Wed, February 8 | 4.1 | Finite Abelian Groups: Basis Theorem |
| Mon, February 13 | 4.5 | Free Groups and Presentations |
| Wed, February 15 | Automorphisms and Extensions | |
| Mon, February 20 | 4.2 | Groups of Small Order |
| Wed, February 22 | 4.2 | The Sylow Theorems :: Overview |
| Mon, February 27 | 4.2 | The Sylow Theorems :: Details |
| Wed, February 29 | 4.3 | Solvable Groups |
| Mon, March 5 | 4.3 | |
| Wed, March 7 | Midterm | |
| March 10-18 | Spring Break | |
| Mon, March 19 | 5.1 | Prime Ideals |
| Wed, March 21 | 5.1 | Maximal Ideals |
| Mon, March 26 | 5.2 | Unique Factorization Domains |
| Wed, March 28 | 5.3 | Noetherian Rings |
| Mon, April 2 | 5.4 | Zorn's Lemma |
| Wed, April 4 | 5.5.1 | Varieties and Ideals |
| Mon, April 9 | 5.5.2 | Hilbert's Nullstellensatz |
| Wed, April 11 | 5.5.3 | Irreducible Varieties |
| Mon, April 16 | 5.5.4 | Primary Decomposition: Existence |
| Wed, April 18 | 5.5.4 | Primary Decomposition: Computation |
| Mon, April 23 | 5.5.4 | Primary Decomposition: Uniqueness |
| Wed, April 25 | Elliptic Curves | |
| Mon, April 30 | Last Day of Classes | |
| Wed, May 2 | Final Exam :: 3-6p |