| Date: | Chapter: | Topic: | Problems for discussion |
| Feb 7 | 18 | Irreducibiles, primes | |
| Feb 9 | 18 | UFD | 18: 11, 16 |
| Feb 12 | 18 | ED | Example 6 |
| Feb 14 | 19 | ED/Vector spaces | 22, 24, 31 |
| Feb 16 | 19 | Vector spaces | |
| Feb 19 | 20 | Extension fields | Ch 17: 30, 31 |
| Feb 21 | 20 | Splitting fields, p285 Example 2 | Ch 20: 3 |
| Feb 23 | 20 | F(a) ~ F[x]/<p(x)>, basis for F(a) | |
| Feb 26 | 20 | zeroes of irreducible polynomial | |
| Feb 28 | 20/21 | perfect fields, characterization of extensions | |
| Mar 2 | 21 | characterization of extensions | |
| Mar 5 | 21 | finite extensions | |
| Mar 7 | 21 | algebraic extensions | |
| Mar 9 | 21 | Primative Element Theorem | |
| Mar 12 | 22 | Classification of Finite Fields | |
| Mar 14 | 22 | Structure of Finite Fields | |
| Mar 16 | 22 | Subfields of a Finite Field | |
| Mar 19 | 22/23 | Geometric Constructions | |
| Mar 21 | 23 | Constructions | 1,2,3,4 |
| Mar 23 | 23 | Angle tresectors and cube doublers | |
| Apr 2 | 32 | pp554-559 Automorphisms and fixed fields | |
| Apr 4 | 32 | Examples 3,4,5 Discussion on top of p. 559 | |
| Apr 6 | 32 | Discussion on top of p. 559, Ch 21 #20 | |
| Apr 9 | H 274, 292-298 | Normal and separable extensions | |
| Apr 11 | H 345-348 | Gal(K/F) for algebraic extensions | |
| Apr 18 | H 348-351 | permuting roots, fixed fields are intermed. fields | |
| Apr 20 | H 353-355 | Galois correspondence is surjective | |
| Apr 23 | H 355-356 | When is Galois correspondence injective? | |
| Apr 25 | H 356-359 | Fundamental Theorem of Galois Theory | |
| Apr 27 | H 356-359 | FTGT and examples | |
| Apr 30 | Galois group of x4-2 | ||
| May 2 | More examples of Galois groups of polynomials | ||
| May 4 | Gallian p561-3 | Solvability by radicals, solvable groups | |
| May 7 | Gallian 564-7 | Solvable by Radical => solvable group, quintic | |
| May 9 | Ch 24 | Sylow Theorems | |
| May 11 | Ch 24 | Sylow Theorems | |
| May 14 | Ch 24 | Sylow Theorems | |
| May 16 | Last Day |
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Last Modified: 4/18/01 10:45