Note: this schedule is only approximate and will be updated irregularly.
| Date | Topic | Textbook Chapter |
|---|
| 1/10 | Introduction to rings | 12 |
| 1/17 | Class cancelled |
| 1/22 | Introduction to rings (cont.), integral domains | 12, 13 |
| 1/24 | Integral domains (cont.) | 13 |
| 1/29 | Ideals and quotient rings | 14 |
| 1/31 | Ideals and quotient rings (cont.) | 14 |
| 2/5 | Homomorphisms of rings | 15 |
| 2/7 | Homomorphisms of rings (cont.) | 15 |
| 2/12 | Polynomial rings I: the basics | 16 |
| 2/14 | Polynomial rings II: the basics (cont.) | 16 |
| 2/19 | Polynomial rings III: irreducibility | 17 |
| 2/21 | Polynomial rings IV: irreducibility (cont.) | 17 |
| 2/26 | Polynomial rings V: quotients | 17 |
| 2/28 | Class cancelled |
| 3/5 | Factorization in integral domains
I | 18 |
| 3/7 | Factorization in integral domains
II | 18 |
| 3/19 | Factorization in integral domains
III | 18 |
| 3/21 | Vector spaces | 19 |
| 3/26 | Vector spaces (cont.) | 19 |
| 3/28 | Field extensions I:
introduction | 20 |
| 4/2 | Field extensions II: zeros of polynomials,
splitting fields | 20 |
| 4/4 | Field extensions III: zeros of polynomials, splitting
fields (cont.)
| 20 |
| 4/9 | Field extensions IV: algebraic
extensions | 21 |
| 4/11 | Field extensions V: algebraic extensions
(cont.) | 21 |
| 4/16 | Finite fields | 22 |
| 4/18 | Finite fields (cont.), ruler and compass
constructions | 22, 23 |
| 4/23 | Ruler and compass constructions
(cont.) | 23 |
| 4/25 | Introduction to Galois theory | 32 |
Questions and comments concerning this page are to be
addressed to rdaileda at trinity dot edu.
