Professor:
Dr. Janet Vassilev
Office: SMLC 324
Office
Hours: MF 2 pm3 pm, W 9 am and by appointment.
Telephone: (505)
2772214
email: jvassil@math.unm.edu
webpage:
http://www.math.unm.edu/~jvassil
Date

Section

Topic

Homework

8/20

0

Sets and Relations


8/22

0

Cardinality and Equivalence relations

0: 12(b, d, f), 26, 31, 32, 34, 36

8/24

2

Binary Operations 

8/27

2

Binary Operations 

8/29

3

Isomorphic Structures 
3: 2, 4, 6, 12, 15, 24, 27, 314: 10, 20, 22, 25, 29, 32, 35

8/31

4

Groups


9/5

4, 5

More on groups and subgroups

5: 4, 7, 16, 18, 20, 26, 36, 39, 47, 51, 53, 54 
9/7

6

Cyclic groups_{} 

9/10

6

Cyclic Groups


9/12

6,7

Cyclic groups
and Finitely generated groups

5: 556: 6, 10, 18, 22, 32, 34, 35, 44, 46, 47, 50

9/14

7,8

Finitely generated
groups and dihedral groups


9/17

8

Dihedral groups


9/19

8

Groups of
permutations

8: 2, 5, 6, 8, 12, 16, 35, 36, 40, 42, 48

9/21


Review


9/24


Midterm 1


9/26

9

Orbits, cycles
and alternating groups

9: 2, 3, 7, 10, 12, 14, 16, 23, 29, 31, 34

9/28

9

Orbits, cycles
and alternating groups


10/1

10

Cosets and
Lagrange


10/3

10

Cosets and
Lagrange

10: 2, 6, 7, 9, 10, 12, 15, 19, 26, 30, 32, 33, 39

10/5

11

Direct Products
and Finitely generated abelian groups


10/8

11

Direct Products
and Finitely generated abelian groups


10/10

13

Homomorphisms

11: 4, 5, 8, 10, 12, 24, 32, 36, 38, 39, 40, 46, 50

10/15

13

Homomorphisms


10/17

14

Factor Groups

13: 3, 5, 8, 18, 19, 22, 28, 32, 34, 36, 44, 45, 49, 5014: 2, 6, 12, 13, 23

10/19

14

Factor Groups


10/22

15

More on Factor
Groups


10/24

16

Group Actions

14: 21, 22, 26, 27, 31, 34

10/26

16

Group Actions


10/29

16

Group Actions


10/31

17

Group Actions and Counting

16: 1, 2, 3, 8, 10, 12, 14

11/2


Rings


11/5


Review 

11/7


Midterm 2 

11/9

18

Rings


11/12

19

Integral Domains 

11/14

20

Fermat's and Euler's Theorems 
18: 10, 12, 15, 16, 24, 33, 39, 40, 44, 5019: 6, 10, 17, 27, 29 
11/16

21

Field of Quotients 

11/19

21

Fields of Quotients


11/21


Class cancelled


11/26

26

Factor Rings and Ideals


11/28

27

Prime and Maximal Ideals 
20: 4, 12, 14, 23

11/30

22

Polynomial Rings


12/3

23

Factorization of polynomials


12/5


Review


12/7


Review


12/14


Final exam

