Finite Mathematics - CS 4/51012
Topics
Chapters
Handouts
Two Interval Graph Problems (Introduction)
pdf
ps
Combinatorial Circuits
Sec. 9.1 and 9.2 from
J
(or Sec. 1.7 from
A
)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Boolean Algebras
Sec. 9.3 from
J
(or Sec. 1.7 from
A
)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Boolean Functions and Synthesis of Circuits
Sec. 9.4 and 9.5 from
J
(or Sec. 1.7 from
A
)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Synthesis of Circuits: Applications
Sec. 9.5 from
J
(or Sec. 1.7 from
A
)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Graphs, Directed Graphs: Introduction
Sec. 6.1 and 6.2 from
A
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Representation of Graphs
Sec. 6.6 from
A
(or Sec. 6.5 from
J
)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Euler Paths and Cycles
Sec. 6.5 from
A
(or Sec. 6.2 from
J
)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Hamiltonian Cycles and the TSP
Sec. 6.3 from
J
(or Sec. 14.4 and 6.7 from
A
)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Hamiltonian Cycles: Existence
Sec. 14.4 from
A
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Algebraic Properties of Graphs
Sec. 14.1 from
A
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Planar Graphs
Sec. 14.2 from
A
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Coloring Graphs
Sec. 14.3 from
A
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Trees
Sec. 7.1 and 7.2 from
J
(or Sec. 6.3 and 15.1 from
A
)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Binary Trees
Sec. 7.5 and 7.6 from
J
(or Sec. 15.2 and 15.4 from
A
)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Spanning Trees (by Chenyu Yan)
Sec. 7.3 from
J
(or Sec. 15.5 from
A
)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Isomorphism Problem
Sec. 6.6 and 7.8 from
J
(or Sec. 15.4 from
A
)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Theory of Codes
Sec. 18.1, 18.2 from
A
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Hamming Codes
Sec. 18.3 from
A
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Intersection Graphs (by Irina Lomonosov)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Routing in Graphs (by Irina Lomonosov)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Discrete Probability (Intro)
Sec. 4.4 from
J
(or Sec. 8.5 from
A
)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Discrete Probability Theory
Sec. 4.5 from
J
(or Sec. 8.9 from
A
)
pdf(1)
ps(1)
pdf(2)
ps(2)
.
Textbooks:
James A.
A
nderson,
Richard
J
ohnsonbaugh,
Douglas B.
W
est,
Discrete Mathematics with Combinatorics,
Discrete Mathematics, 5/E,
Introduction to Graph Theory, 2/E,
Prentice Hall, 2001.
Prentice Hall, 2001.
Prentice Hall, 2001.
HOMEWORKS
Homework #1
pdf
ps
(due 09/17/2002)
results (pdf)
Homework #2
pdf
ps
(due 10/08/2002)
results (pdf)
Homework #3
pdf
ps
(due 10/15/2002)
results (pdf)
Homework #4
pdf
ps
(due 11/5/2002)
results (pdf)
Homework #5
pdf
ps
(due 11/26/2002)
results (pdf)
Homework #6
pdf
ps
(due 12/3/2002)
results (pdf)
solutions (pdf)
EXAMS
Tuesday, October 29, 2002, 3:15 - 4:30 p.m.
Info
Results
Wednesday, December 11, 2002, 7:45 - 10:00 a.m.
Info
Finite Mathematics - CS 4/51012
Final Grades (pdf)
F. Dragan
dragan@cs.kent.edu
Fall 2002