Professor: Dr.
Janet Vassilev
Office: SMLC 324
Office Hours: MF 23 pm W 910 am and by
appointment.
Telephone: (505) 2772214
email: jvassil@math.unm.edu
webpage: http://www.math.unm.edu/~jvassil
Date

Chapter

Topic

Homework

8/20

1.1, 2.1

Groups and subgroups^{} 

8/22

1.21.5

Examples of
Groups


8/24

2.3, 1.7, 3.1

Cyclic Groups,Group Actions and Cosets


8/27

1.7, 3.2, 4.1

Group Actions and Lagrange's Theorem


8/29

2.2, 4.3

Subgroups
defined by actions and the class equation


8/31

3.1, 3.2, 3.3

Quotient groups and 1st Isomorphism Theorem


9/5

3.3

Isomorphism Theorems


9/7

4.2

Cayley's Theorem


9/10

3.2, 4.3 
Cauchy's Theorem 

9/12

4.5

Sylow Theorems

HW 4

9/14

4.5

Sylow Theorems


9/17

1.3

Symmetric Groups


9/19

3.5, 4.6

The Alternating
Group

HW 5

9/21


Review


9/24


Midterm I


9/26

3.5, 4.6

The Alternating Group Continued

HW 6

9/28

4.4

Automorphisms vs Inner Automorphisms


10/1

5.1, 5.4

Direct Products


10/3

3.4, 6.1

Nilpotent and Solvable Groups

HW 7

10/5

5.2

Classification of finitely generated abelian groups


10/8

5.2

Classification of finitely generated abelian groups 

10/10

5.2

Classification of finitely generated abelian groups 

10/15

6.3, 5.5

Free Groups, Semidirect Products


10/17

5.5

Semidirect Products


10/19

7.1, 10.1

Rings and Modules


10/22

7.3, 10.2

Ring and Module homomorphisms, Quotient Rings and Quotient Modules


10/24

7.4, 7.6

Properties of ideals, Chinese Remainder Theorem


10/26

8.2, 8.3

PID's and UFD's


10/29


Review


10/31


Midterm II


11/2


Went over midterm


11/5


Euclidean domains


11/7


Factorization of polynomials

HW 10

11/9


Irreducibility criteria


11/12


Localization


11/14


Localization continued

HW 11 
11/16




11/19




11/21




11/26




11/28



15.2 3, 8, 11, 31, 32 
11/30




12/3




12/5


Review


12/7


Review


12/12


Final exam

