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Handwritten lecture notes
and links shown in class

Link to 2008 notes.

Link to 2006 notes.

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.



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
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 State-Göttingen 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
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

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