Course content

Course material -- lecture notes etc.

week date Links
1 2021-01-31 Overview of Week 1 [web] [pdf]
1 2021-02-01 Review of fields & polynomials -- part 1 [web] [pdf]
1 2021-02-01 discussion question (with solutions) [web] [pdf]
1 2021-02-03 Review of fields & polynomials -- part 2 [web] [pdf]
2 2021-02-08 Field of fractions [web] [pdf]
2 2021-02-10 discussion question(s) -- algebraic elements [web] [pdf]
2 2021-02-10 Algebraic Elements [web] [pdf]
3 2021-02-15 Finite and algebraic extensions [web] [pdf]
3 2021-02-17 Utility of the study of fields [web] [pdf]
4 2021-02-22 Eisenstein, revisited [web] [pdf]
4 2021-02-22 Ruler & Compass constructions [web] [pdf]
4 2021-02-24 Splitting fields [web] [pdf]
5 2021-03-01 Automorphism example [web] [pdf]
5 2021-03-01 Finite fields part 1 [web] [pdf]
5 2021-03-03 Finite fields part 2 [web] [pdf]
6 2021-03-08 Group actions part 1 [web] [pdf]
6 2021-03-08 Notations for fields and rings [web] [pdf]
6 2021-03-10 Group actions part 2 [web] [pdf]

Supplementary course material (jupyter notebooks for sagemath)

date Links
2021-02-03 2021-02-03--construction-of-fields--notebook [notebook] [pdf]
2021-02-24 2021-02-24--minpoly [notebook] [pdf]
2021-03-01 2021-03-01--Finite-fields [notebook] [pdf]
2021-03-01 2021-03-01--more-finite-fields [notebook] [pdf]