Course plan and lecture notes

The following is a preliminary course plan and is subject to change. Changes will be recorded here. Notes from all lectures.

Day	Book chapters	Lecture notes
Thursday 11.01	Chapters 11.1-11.2	0.Background and motivation + 1.PIDs and UFDs
Friday 12.01	Chapters 11.3-11.4	2.Euclidean domains and polynomial rings
Thursday 18.01	Chapter 15.1	3.Polynomial rings over fields and irreducibility in \(\mathbb Z [x]\)
Friday 19.01	Chapter 15.2	4.Field extensions by root adjunction
Thursday 25.01	Problem Set 1	Problem Set 1 Solutions
Friday 26.01	Chapter 15.3	5.Algebraic extensions of fields
Thursday 01.02	Chapter 15.4	6(a).The algebraic closure of a field
Friday 02.02	Chapters 15.4-16.1	6(b).The algebraic closure of a field + 7(a).Splitting fields
Thursday 08.02	Chapters 16.1-16.2	7(b).Splitting fields + 8.Normal extensions
Friday 09.02	Chapter 16.3	9.Root multiplicity
Thursday 15.02	Problem Set 2	Problem Set 2 Solutions
Friday 16.02	Chapter 16.4	10(a).Finite fields
Thursday 22.02	Chapters 16.4-16.5	10(b).Finite fields + 11(a).Separable extensions
Friday 23.02	Chapter 16.5	11(b).Separable extensions
Thursday 29.02	Chapter 17.1	12(a).Galois groups
Friday 01.03	Chapter 17.1	12(b).Galois groups
Thursday 07.03	Problem Set 3	Problem Set 3 Solutions
Friday 08.03	Chapter 17.1	12(c).Galois groups
Thursday 14.03	Chapter 17.2	13.Fundamental theorem of Galois theory
Friday 15.03	Chapter 18.1	14(a).Roots of unity and cyclotomic polynomials
Thursday 21.03	Problem Set 4	Problem Set 4 Solutions
Friday 22.03	Chapter 18.1	14(b).Roots of unity and cyclotomic polynomials
Thursday 04.04	Chapter 18.1-18.2	14(c).Roots of unity and cyclotomic polynomials + 15(a).Cyclic extensions
Friday 05.04	Chapter 18.2-18.3	15(b).Cyclic extensions + 16(a).Polynomials solvable by radicals
Thursday 11.04	Chapter 18.3	16(b).Polynomials solvable by radicals
Friday 12.04	Chapter 18.3-18.5	16(c).Polynomials solvable by radicals + 17(a).Constructions with ruler and compass
Thursday 18.04	Problem Set 5	Problem Set 5 Solutions
Friday 19.04	Chapter 18.5	17(b).Constructions with ruler and compass
Thursday 25.04	No lecture	No lecture
Friday 26.04	No lecture	No lecture
Thursday 02.05	Problem Set 6	Problem Set 6 Solutions
Friday 03.05	Repetition	Exam June 2015 sample solution