MMA310 H21 Galoisteori
Course PM
This page contains the program of the course lectures. Other information, such as learning outcomes, teachers, literature and examination, are in a separate course PM.
Program
The schedule of the course is in TimeEdit.
Lectures
The course uses exercises as approach to Galois theory, with combined lectures and exercise sessions.
The program is preliminary.
| Week | Sections | Content |
|---|---|---|
| 44 | 1, 2 |
Solving algebraic equations, field extensions |
| 45 | 3, 4, 5 | Irreducibility of polynomials, algebraic extensions, splitting fields |
| 46 | 6, 7, 8 | Automorphism groups of fields, normal and separable extensions |
| 47 | 9, 10 | Galois extensions, cyclotomic fields |
| 48 | 12, 13 | Solvability of equations |
| 49 | 15 |
Resolvents, equations of degree 3 and 4 |
| 50 | 14 | Geometric constructions, transcendence of e and |
| 1 | Course summary, exam preparation |
Links
- Biographies at the MacTutor History of Mathematics Archive.
Course summary:
| Date | Details | Due |
|---|---|---|