MATH 5354

Abstract Algebra---Outline of Course Topics

 

Week

Week of

Topic

Assessments/HW

1
August 28

What is Algebra? Sets

 

2
September 4

Labor Day/Methods of Proof

 

3
September 11

Rings/Construction of Natural Numbers &Polynomials

 

4
September 18

Homomorphisms/Quotient Rings

 

5
September 25

Integral Domains/Fields of Fractions

 

6
October 2

Symmetry/Groups of Motions

 

7
October 9

Finite Groups/Discrete Groups

 

8
October 16

Abstract Groups/Cosets

 

9
October 23

Review/Midterm

 

10
October 30

Counting in Groups/Permutations

 

11
November 6

Group Actions/Class Equations

 

12
November 13

Sylow Theory

 

13
November 20

Small Groups/Thanksgiving

 

14
November 27

Fields and Extensions

 

15
December 4

Galois Theory/Review

 

 
December 11
Final Exam, 4:30 PM to 7 PM