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 |