General Information | Syllabus | HW Assignments |
Announcements:
Lectures | Sections in Text | Brief Description |
---|---|---|
1/7 | Ch 7 - 9 | Introduction, quotient rings and ideals |
1/9 | 13.1 | Prime and maximal ideals and quotients |
1/11 | 13.1 | Characteristic, prime fields, finite extensions |
1/14 | 13.1, 13.2 | Finite extensions; simple extensions |
1/16 | 13.2 | Algebraic Extensions |
1/18 | 13.2 | Algebraic Extensions |
1/21 | No Class: Martin Luther King Day | |
1/23 | 13.2 | Algebraic Extensions |
1/24 (x-hour) | 13.3 | Compass and Straightedge constructions |
1/25 | 13.4, 13.6 | Splitting Fields, cyclotomic polynomials |
1/28 | 13.4, 13.6 | Algebraic Closures and uniqueness |
1/30 | 13.4. 13.6 | Algebraic Closures and uniqueness |
2/1 | 13.5 | Separable and Inseparable Extensions |
2/4 | 13.5 | Automorphism groups of fields |
2/6 | 14.1 | Fixed fields and automorphism groups |
2/7 (x-hour) | 14.1 | Fixed fields and automorphism groups |
2/8 | 14.2 | Carnival Holiday |
2/11 | 14.2 | Fundamental Theorem of Galois Theory |
2/11 | Midterm Exam distributed (due 2/15) | |
2/13 | 14.2 | Fundamental Theorem of Galois Theory |
2/15 | 14.2 | Fundamental Theorem of Galois Theory |
2/18 | 14.2 | Fundamental Theorem of Galois Theory |
2/20 | 14.2 | Fundamental Theorem of Galois Theory |
2/22 | 14.3, 14.4 | Finite Fields, Composite Extensions |
2/25 | 14.4 | Composite and Simple extensions |
2/27 | 14.5 | Cyclotomic and abelian extensions |
2/29 | 14.5 | Finite abelian groups are galois groups |
3/3 | 14.6 | Galois groups of polynomials |
3/5 | 14.7 | Galois groups of polynomials |
3/7 | 14.6 | Galois groups of polynomials: degrees 2, 3, 4 |