Professor: Dr.
Janet Vassilev
Office: SMLC 324
Office Hours: M 10 am 12 pm and W 11 am12 pm and by
appointment.
Telephone: (505) 2772214
email: jvassil@math.unm.edu
webpage: http://www.math.unm.edu/~jvassil
Date

Chapter

Topic

Homework

8/19

1.11.2

Groups and examples of Groups^{} 

8/21

1.31.7

Homorphisms and Group Actions


8/26

2.12.2

Subgroups


8/28

2.32.4

Cyclic and finitely generated subgroups


9/2

3.13.2

Quotient Groups , Cosets and Lagrange's Theorem 

9/4

3.3

Isomorphism Theorems


9/9

3.4

Composition Series and Holder's Theorem


9/11

4.14.2

Cayley's Theorem


9/16

4.3 
The Class Equation


9/18

4.5

Sylow Theorems

HW 5

9/23

4.5 
Sylow Theorems 

9/25

3.5, 4.6 
The Alternating Group 

9/30


Complete Groups


10/2


Review


10/7


Midterm I


10/14

5.1, 5.4 
Direct Products 

10/16

6.1

Nilpotent and Solvable Groups 

10/21

5.3

Fundamental Theorem of Finitely Generated Abelian Groups


10/23

5.3

Fundamental Theorem of Finitely Generated Abelian Groups 
HW 8

10/28

5.3

Determining quotients of Free abelian groups


10/30

5.5, 7.1

Semidirect products, Rings


11/4

7.3, 7.4

Ring homomorphisms, Quotient Rings and Ideals 

11/6

7.5, 7.6

Rings of Fractions, Chinese Remainder Theorem


11/11

8.18.2

Euclidean Domains and PID's


11/13

8.3 
UFD's


11/18


Review


11/20


Midterm II


11/25

9.19.3

Polynomial Rings


12/2


Polynomial Rings continued


12/4


Review


12/9


Final exam

