Professor: Dr.
Janet Vassilev
Office: Humanities
Office Hours: MF 11 am12:30 pm and by
appointment.
Telephone: (505) 2772214
email: jvassil@math.unm.edu
webpage: http://www.math.unm.edu/~jvassil
Date

Chapter

Topic

Homework

8/25

1.1, 2.1

Introduction to algebraic structure on a set^{} 

8/27

1.21.5

Examples of
Groups


8/29

1.6

Homomorphisms and Isomorphisms


9/3

1.7

Group Actions


9/5

2.2

Subgroups
defined by actions


9/8

2.3

Cyclic groups


9/10

2.4

Subgroups
generated by subsets


9/12

2.5

Lattices and the
lattice of subgroups of a group


9/15

3.1

Quotient Groups


9/17

3.2

Lagrange’s
Theorem


9/19

3.3

Isomorphism
Theorems


9/22

3.4

Composition
Series


9/24

3.5

Alternating
Group


9/26


Review


9/29


Midterm I


10/1

4.1

Group Actions
revisited


10/3

4.2

Groups acting
by left multiplication


10/6

4.3

Groups acting
by conjugation


10/8

4.4

Automorphisms


10/10

4.5

Sylow Theorems


10/13

4.5

Sylow Theorems continued


10/15

4.6

Simplicity of A_{n}


10/20

5.1

Direct Products


10/22

5.2

The Fundamental
Theorem of Finitely Generated Abelian Groups


10/24

5.4

Recognizing
Direct Products


10/27

5.5

Semidirect Products


10/29

6.1

Nilpotent and
Solvable Groups


10/31

6.3

Free Groups


11/3


Review


11/5


Midterm II


11/7

7.1

Rings


11/10

7.2

Examples of
Rings


11/12

7.3

Ring
homomorphism and Quotient Rings


11/14

7.4

Ideals


11/17

7.5

Rings of
Fractions


11/19

7.6

Chinese
Remainder Theorem


11/21

8.1

Euclidean
Domains


11/24

8.2

PID’s


11/26

8.3

UFD’s


12/1

9.1

Polynomial
Rings


12/3

9.2

Polynomial
Rings over Fields


12/5

9.3

Polynomial
Rings which are UFD’s


12/8

9.4

Irreducibility
Criteria


12/10


Review


12/12


Review


12/19


Final exam

