Date  Themes  Sections 
Aug. 27 
Intro to the course

Group actions


§§ 1.11.5 
Sept. 1 

§§ 1.51.6 
Sept. 3 
Sylow's theorems

§ 1.6 
Sept. 8 

§ 1.3 
Sept. 10 

§1.3, §§1.71.8 
Sept. 15 
Finitely gen. ab. groups 
§ 1.8 
Sept. 17 
Elementary divisors 
§§ 3.4, 3.7 
Sept. 22 
Rings 
§§ 2.12.2, A.2 
Sept. 24 
First Midterm Exam 
Sept. 29 
Commutative rings 
§§ 2.22.4 
Oct. 1 
UFDs, PIDs 
§§ 2.5, 3.1 
Oct. 6 
Modules 
§§ 3.13.4 
Oct. 8 
Projective modules, categories,... 
§§ 1.11, 3.4 
Oct. 13 
Representable functors, tensor products 
§§ 16.116.3 
Oct. 15 
Representable functors, tensor products 
§§ 16.116.3 
Oct. 20 
Mostly flat modules 
§§ 16.116.3 
Oct. 22 
Flat modules and polynomials 
§§ 16.116.3, 4.1 
Oct. 27 
Polynomials 
§§ 4.14.3 
Oct. 29 
Second Midterm Exam 
Nov. 3 
Yet more on polynomials 
§§ 4.14.4 
Nov. 5 
Polynomials, field extensions 
§§ 4.3, 4.4, 5.1 
Nov. 10 
Algebraic extensions, algebraic closure 
§ 5.2 
Nov. 12 
Algebraic extensions 
§§ 5.15.2 
Nov. 17 
Normal extensions, separable degree 
§§ 5.31.4 
Nov. 19 
Finite fields 
§ 5.5 
Nov. 24 
Primitive element theorem, Galois stuff 
§§ 5.4, 6.1 
Dec. 1 
Galois theory, fundamental theorem of algebra 
§§ 6.16.2 
Dec. 3 
Galois theory: examples and applications 
§§ 6.26.3 
Dec. 8 
Review 
Dec. 10 
Questions 
Dec. 15 
Final Exam, 8AM11AM 