Aug 18 Thursday, August 18

Introduction

Aug 23 Tuesday, August 23

Vector spaces

Aug 25 Thursday, August 25

Dual Spaces

Aug 30 Tuesday, August 30

Endomorphisms

Sep 1 Thursday, September 1

Bilinear Forms

Assignment 1

Sep 6 Tuesday, September 6

Groups
§1.1, §1.6, §1.7

Sep 8 Thursday, September 8

Examples of Groups
§0.3, §1.2, §1.3, §1.4, §1.5

Assignment 2

Sep 13 Tuesday, September 13

Subgroups
§2.1, §2.2, §2.3, §2.4, §2.5

Sep 15 Thursday, September 15

Quotients
§3.1, §3.2

Assignment 3

Sep 20 Tuesday, September 20

Quotient Groups
§3.1, §3.2, §3.3

Sep 22 Thursday, September 22

Midterm 1

Sep 27 Tuesday, September 27

Permutation Representations
§3.5, §4.1

Sep 29 Thursday, September 29

Groups acting on themselves
§4.2, §4.3, §4.4

Assignment 4

Oct 4 Tuesday, October 4

Sylow Theorems
§4.5, §4.6

Oct 6 Thursday, October 6

Sylow Theorems
§4.5, §4.6

Assignment 5

Oct 11 Tuesday, October 11

Fundamental Theorem of Finitely Generated Abelian Groups
§5.2, §5.3

Oct 18 Tuesday, October 18

Direct and Semidirect Products
§5.1, §5.4, §5.5

Oct 20 Thursday, October 20

Series and the Hölder Program
§3.4, §6.1

Assignment 6

Oct 25 Tuesday, October 25

Free Groups
§6.3

Oct 27 Thursday, October 27

Midterm 2

Nov 1 Tuesday, November 1

Rings
§7.1, §7.2

Nov 3 Thursday, November 3

Quotient Rings and Ideals
§7.3, §7.4

Assignment 7

Nov 10 Thursday, November 10

Localization
§7.5

Assignment 8

Nov 15 Tuesday, November 15

Chinese Remainder Theorem
§7.6

Nov 17 Thursday, November 17

Euclidean Domains and Principal Ideal Domains
§0.2, §8.1, §8.2

Assignment 9

Nov 22 Tuesday, November 22

Unique Factorization Domains
§8.3

Nov 29 Tuesday, November 29

Polynomial Rings
§9.1, §9.2, §9.3

Dec 1 Thursday, December 1

Irreducibility
§9.4, §9.5

Assignment 10

Dec 6 Tuesday, December 6

Dec 8 Thursday, December 8

Final Exam