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Galois Theory and Related Topics
Last reloaded Monday Feb 13 2012 01:09:54

General Information Syllabus Homework Assignments


Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the weekly syllabus contained in the Homework Assigments page will always be accurate.


Lectures Sections in Text Brief Description
1/5 7.5, 15.4 Localization and field of fractions
1/8 13.1 Localization, characteristic, prime fields
1/10 13.1 Finite extensions; simple extensions
1/12 13.2 Algebraic Extensions
1/15 13.2 Algebraic Extensions
1/17 13.3 Compass and Straightedge constructions
1/19 13.4 Splitting fields
1/22 13.4 Algebraic Closures and uniqueness
1/24 13.5 Separable and Inseparable Extensions
1/26 13.5 Separable and Inseparable Extensions
1/29 14.1 Automorphism groups of fields
1/31 14.1 Fixed fields and automorphism groups
2/2 14.2 Fundamental Theorem of Galois Theory
2/5 14.2 Fundamental Theorem of Galois Theory
2/7 14.2 Fundamental Theorem of Galois Theory
2/9 14.2 Fundamental Theorem of Galois Theory
2/12 14.3 Finite Fields
2/14 14.4 Simple extensions
2/16 14.5 Cyclotomic and abelian extensions
2/19 14.5 Finte abelian groups are galois groups
2/21 14.6 Galois groups of polynomials; general polynomial of degree n
2/23 14.6 Galois groups of polynomials
2/26 14.6 Galois groups of polynomials; degrees 2, 3, 4
2/28 14.7 Solvable and Radical Extensions
3/2 14.7 Solvable and Radical Extensions
3/5   Intro to Algebraic Geometry
3/7   Intro to Algebraic Geometry


Last modified on trs by 25 February 2001
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