Instructors: John Voight
Course on Canvas: https://canvas.dartmouth.edu/courses/44838
Syllabus
Date |
Details |
|
Fri Jan 8, 2021 |
Introduction |
1:10pm to 2:15pm |
Mon Jan 11, 2021 |
9.2: Polynomial Rings over Fields I, 9.3: Polynomial Rings that are UFDs |
1:10pm to 2:15pm |
Tue Jan 12, 2021 |
9.3, Magma |
1:40pm to 2:30pm |
Wed Jan 13, 2021 |
9.4: Irreducibility Criteria, 9.5: Polynomial Rings over Fields II |
1:10pm to 2:15pm |
Fri Jan 15, 2021 |
13.1: Fields and Field Extensions |
1:10pm to 2:15pm |
Tue Jan 19, 2021 |
Office hour (HW #1) |
1:40pm to 2:30pm |
Wed Jan 20, 2021 |
13.2: Algebraic Extensions |
1:10pm to 2:15pm |
Thu Jan 21, 2021 |
due by 6pm |
|
Fri Jan 22, 2021 |
13.3: Ruler and Compass Constructions |
1:10pm to 2:15pm |
Mon Jan 25, 2021 |
13.4: Splitting Fields |
1:10pm to 2:15pm |
Tue Jan 26, 2021 |
Office hour (HW #2) |
1:40pm to 2:30pm |
Wed Jan 27, 2021 |
13.4: Algebraic Closures |
1:10pm to 2:15pm |
Thu Jan 28, 2021 |
due by 6pm |
|
Fri Jan 29, 2021 |
13.5: Separable Extensions |
1:10pm to 2:15pm |
Mon Feb 1, 2021 |
13.5: Finite Fields, Primitive Element Theorem |
1:10pm to 2:15pm |
Tue Feb 2, 2021 |
Office hour (HW #3) |
1:40pm to 2:30pm |
Wed Feb 3, 2021 |
13.6: Cyclotomic Polynomials |
1:10pm to 2:15pm |
Thu Feb 4, 2021 |
due by 6pm |
|
Fri Feb 5, 2021 |
14.1: Field Automorphisms |
1:10pm to 2:15pm |
Mon Feb 8, 2021 |
14.1: Galois Extensions |
1:10pm to 2:15pm |
Tue Feb 9, 2021 |
Office hour (HW #4) |
1:40pm to 2:30pm |
Wed Feb 10, 2021 |
14.2: Characterization of Finite Galois Extensions |
1:10pm to 2:15pm |
Thu Feb 11, 2021 |
due by 6pm |
|
Fri Feb 12, 2021 |
14.2: Characterization of Finite Galois Extensions (cont'd) |
1:10pm to 2:15pm |
Mon Feb 15, 2021 |
14.2: Galois Correspondence and Examples, 14.3: Finite Fields |
1:10pm to 2:15pm |
Tue Feb 16, 2021 |
Office hour (HW #5) |
1:40pm to 2:30pm |
Wed Feb 17, 2021 |
14.4: Composite Extensions and Simple Extensions |
1:10pm to 2:15pm |
Thu Feb 18, 2021 |
due by 6pm |
|
Fri Feb 19, 2021 |
14.5: Abelian Extensions |
1:10pm to 2:15pm |
Mon Feb 22, 2021 |
14.6: Galois Groups of Polynomials |
1:10pm to 2:15pm |
Tue Feb 23, 2021 |
Office hour (HW #6) |
1:40pm to 2:30pm |
Wed Feb 24, 2021 |
14.6 |
1:10pm to 2:15pm |
Thu Feb 25, 2021 |
due by 6pm |
|
Fri Feb 26, 2021 |
14.7: Solving Equations by Radicals |
1:10pm to 2:15pm |
Mon Mar 1, 2021 |
14.7 |
1:10pm to 2:15pm |
Tue Mar 2, 2021 |
Office hour (HW #7) |
1:40pm to 2:30pm |
Wed Mar 3, 2021 |
14.7 |
1:10pm to 2:15pm |
Fri Mar 5, 2021 |
14.8: Computing Galois Groups |
1:10pm to 2:15pm |
Mon Mar 8, 2021 |
14.9: Infinite Galois Theory |
1:10pm to 2:15pm |
Tue Mar 9, 2021 |
due by 6pm |
|
Wed Mar 10, 2021 |
Wrap-up |
1:10pm to 2:15pm |
Tue Mar 16, 2021 |
due by 6pm |