| General Information | Syllabus | HW Assignments |
| Lectures | Sections in Text | Brief Description |
|---|---|---|
| 1/6 | Introduction | |
| 1/9 (x-hour) | 7.5, 15.4 | Localization and field of fractions |
| 1/10 | 13.1 | Localization, characteristic, prime fields |
| 1/13 | 13.1, 13.2 | Finite extensions; simple extensions |
| 1/15 | 13.2 | Algebraic Extensions |
| 1/17 | 13.2 | Algebraic Extensions |
| 1/20 | No Class: Martin Luther King Day | |
| 1/22 | 13.2, 13.3 | Compass and Straightedge constructions |
| 1/23 (x-hour) | 13.3, 13.4 | Splitting Fields |
| 1/24 | 13.4, 13.6 | Splitting Fields, cyclotomic polynomials |
| 1/27 | 13.4, 13.6 | Algebraic Closures and uniqueness |
| 1/29 | 13.5 | Separable and Inseparable Extensions |
| 1/31 | 13.5 | Separable and Inseparable Extensions |
| 2/3 | 14.1 | Automorphism groups of fields |
| 2/3 | Approximate Date of Midterm Exam | |
| 2/5 | 14.1 | Fixed fields and automorphism groups |
| 2/6 (x-hour) | 14.1 | Fixed fields and automorphism groups |
| 2/10 | 14.2 | Fundamental Theorem of Galois Theory |
| 2/12 | 14.2 | Fundamental Theorem of Galois Theory |
| 2/14 | 14.2 | Fundamental Theorem of Galois Theory |
| 2/17 | 14.2 | Fundamental Theorem of Galois Theory |
| 2/19 | 14.2 | Fundamental Theorem of Galois Theory |
| 2/21 | 14.3, 14.4 | Finite Fields, Composite Extensions |
| 2/24 | 14.4 | Composite and Simple extensions |
| 2/26 | 14.5 | Cyclotomic and abelian extensions |
| 2/28 | 14.5 | Finite abelian groups are galois groups |
| 3/3 | 14.6 | Galois groups of polynomials |
| 3/5 | 14.6 | Galois groups of polynomials |
| 3/7 | 14.6 | Galois groups of polynomials: degrees 2, 3, 4 |