Handwritten lecture notes
and links shown in class
The 2006 notes are worth looking at. I did not
use a computer as a blackboard in those days. Instead I wrote a one
paragraph summary of each class with links to the topics
covered.

Monday 
Wednesday 
December 13, 2010
Review of proof of the Main Theorem 

December 6, 2010
Proof that solvability of the Galois group implies solvability of the equation 
December 8, 2010 No notes available 
November 29, 2010
Handout on even quartics
Solvable groups

December 1, 2010
Radical towers and an unsolvable quintic

November 22, 2010 Exam 
November 24, 2010 Thanksgiving break 
November 15, 2010
A lovely phone call
Prof. Auroux being hacked
Notes: The Fundamental Theorem of
Galois Theory I
Statement of the theorem

November 17, 2010
The Penn StateGöttingen Summer School
Notes: The Fundamental Theorem of
Galois Theory II

November 8, 2010
Notes: More about
separable extensions and Galois groups

November 10, 2010
Notes: The Galois group of a splitting field and the primitive element theorem

November 1, 2010
Notes:
More about ruler and compass constuctions

November 3, 2010
Notes:
Separable extensions and Galois groups

October 25, 2010
Finite fields 2008 Notes 
October 27, 2010
Ruler and compass constructions 2008 Notes 

October 18, 2010
Notes: Review for exam 
October 20, 2010
Exam 
October 11, 2010 Fall break 
October 13, 2010
Sophie Germain page
Notes: Splitting fields 
October 4, 2010
Fermat's
Last Theorem page
Notes: Field extensions 
October 6, 2010
Gauss
page
Notes: More field extensions 
September 27, 2010
Oberwolfach picture
Stork walk video
Notes: Gauss' lemma and Eisenstein's criterion 
September 29, 2010
Alan Turing page
Notes: Irreducible polynomials and linear algebra revisited 
September 20, 2010
2008 notes 
September 22, 2010 2008 notes

September 13, 2010
Notes: Definitions of rings and ideals 
September 15, 2010
The XKCD Verizon nightmare
Notes: Ideals and the division algorithm 
Labor Day 
September 8,
2010 German
video on Galois theory with
subtitles.
Ruler
and compass constructions of
a pentagon
and
a heptadecagon. Origami
page.
Notes: More about of Galois theory 
Semester has not started yet 
September 1, 2010
Galois video
Notes: Toward an example of Galois theory 