General Information | Syllabus | HW Assignments |
Lectures | Sections in Text | Brief Description |
---|---|---|
1/5 | Introduction, quotient rings and ideals | |
1/7 | 7.5, 15.4 | Localization and field of fractions |
1/9 | 13.1 | Localization, characteristic, prime fields |
1/10 | No special day of classes | |
1/12 | 13.1, 13.2 | Finite extensions; simple extensions |
1/14 | 13.2 | Algebraic Extensions |
1/16 | 13.2 | Algebraic Extensions |
1/19 | No Class: Martin Luther King Day | |
1/21 | 13.2 | Algebraic Extensions |
1/22 (x-hour) | 13.2, 13.3 | Compass and Straightedge constructions |
1/23 | 13.4, 13.6 | Splitting Fields, cyclotomic polynomials |
1/26 | 13.4, 13.6 | Algebraic Closures and uniqueness |
1/28 | 13.4. 13.6 | Algebraic Closures and uniqueness |
1/30 | 13.5 | Separable and Inseparable Extensions |
2/2 | 13.5 | Automorphism groups of fields |
2/4 | Approximate Date of Midterm Exam | |
2/4 | 14.1 | Fixed fields and automorphism groups |
2/6 | 14.1 | Fixed fields and automorphism groups |
2/9 | 14.2 | Fundamental Theorem of Galois Theory |
2/11 | 14.2 | Fundamental Theorem of Galois Theory |
2/12 (x-hour) | 14.2 | Fundamental Theorem of Galois Theory |
2/16 | 14.2 | Fundamental Theorem of Galois Theory |
2/18 | 14.2 | Fundamental Theorem of Galois Theory |
2/20 | 14.3, 14.4 | Finite Fields, Composite Extensions |
2/23 | 14.4 | Composite and Simple extensions |
2/25 | 14.5 | Cyclotomic and abelian extensions |
2/27 | 14.5 | Finite abelian groups are galois groups |
3/1 | 14.6 | Galois groups of polynomials |
3/3 | 14.7 | Galois groups of polynomials |
3/5 | 14.6 | Galois groups of polynomials: degrees 2, 3, 4 |
3/8 | 14.8 | Wrap it up |