Professor:
Dr. Janet
Vassilev
Office:
Humanities
467
Office
Hours: TWTh
1112
Telephone:(505) 2772214
Email: jvassil@math.unm.edu
webpage: http://www.math.unm.edu/~jvassil
Date

Section

Topic

Homework

8/25

0.1, 0.2 and 1.1

Logic

0.1 1(e,f),
2(f,h,k), 3(b,c,g), 5(b,I,j), 6(d,f,k)
1.1
2a, 10a 11d

8/27

2.1 and 2.2

Sets and Set
Operations


9/1

2.2 and 2.3

More Set
Operations and Relations

2.1 2(b,d), 3(d,e), 5(b,e,g), 10b, 12(b,f), 14b
2.2 1b, 6b,
18, 19a, 21, 28a
2.3 4(c,d),
5(a,d,h), 9(d,g)

9/3

2.4

Equivalence
Relations


9/8

2.5

Partial Orders

2.4 2(b,c), 4, 9, 13(c,d), 15(a,b), 23
2.5 1(c,d),
3(c,d), 4(c,d), 5, 10a, 11b, 13b, 16b,17

9/10

3.1

Functions


9/15

3.2

Inverses and
Compositions

3.1 1(d,e), 4(b,c), 7b, 13b, 15b, 24b, 26a, 29
3.2 3, 6b, 7c,
10(b,c), 15, 18
3.3 3b, 7, 18,
20(c,f), 22b

9/17

3.3

11
Correspondence


9/22

4.1

Division
Algorithm

4.1 5(a,c), 6(a,e), 7, 11b
4.2 2,
10(b,c), 11, 12(d,e), 19, 20, 22, 24, 29

9/24


Review


9/29


Midterm 1


10/1

4.2

Euclidean
Algorithm


10/6

4.3

Prime Numbers

4.3
1(c,d), 4(b,c), 6, 9, 12a, 17(a,b), 20a, 22, 35
4.42, 3(b,e), 9(b,g,i), 10a, 11c, 16, 18a, 20a

10/8

4.4

Congruence


10/13

4.5

Chinese
Remainder Theorem

4.5 1c,
2e, 6b, 9d, 13, 15, 18(c,g), 24d
5.1 1(a,f),
4(d,g), 5b, 6(c,e), 9(d,g), 17

10/15

5.1

Induction


10/20

5.2

Recursively
defined sequences


10/22

5.3

Homogeneous
recurrence relations


10/27

5.3

Nonhomogeneous
recurrence relations

5.2 1(b,c), 6, 15, 20, 23, 26, 43
5.3 2, 6, 8,
13, 15

10/29

6.1 and 6.2

InclusionExclusion
Principle and Counting


11/3

6.3

Pigeonhole
Principle

5.4 1(b,e), 2(d,g), 4, 6
6.1 3, 5, 9,
11
6.2 4, 6(a,b),
8(a,b), 17(a,b), 20b, 22(b,c)

11/5


Review


11/10


Midterm 2


11/12

7.1

Permutations


11/17

7.2

Combinations

6.3 5,
8, 12, 15, 24
7.1 2, 4, 11,
15
7.2 4, 7(a,b,e), 12, 16(a,b), 18
7.3 2, 4, 9,
14, 17

11/19

7.5 and 7.6

Repetitions
and Derangements


11/24

7.7

The Binomial
Theorem

No homework
this week – Happy Thanksgiving

11/26

9.1 and 9.2

Intro to
graphs


12/1

9.3

Graph
Isomorphisms

7.5 2,
6, 8, 9, 12, 14
7.6 4, 6(a,b,e)
7.7 3(a,c), 12, 22
9.2 2, 6, 7,
15, 21, 22a, 32

12/3

13.2

Coloring
Graphs


12/8


Review


12/10


Review


12/17


Final Exam

