Tuesday, January 7, 2014
11:37 AM
These lecture notes are for Craig Jensen's Discrete Mathematics 3721 class at UNO.
They are intended to be used with the:
Required textbook "A Short Course in Discrete Mathematics" by Bender and Williamson
And the
Recomme

MA3721 F F14 Jensen
Name:
INSTRUCTIONS: Do TEN of the following ELEVEN problems listed below.
Be sure to follow the instructions of each problem. Clearly cross out the ONE
problem you do NOT want graded with a big letter X. Show all work! Each
problem is

MA3721 PF F12 Jensen Name:
INSTRUCTIONS: Do ALL of the problems listed below. Be sure to follow the
instructions of each problem. Show all work! The first 10 problems are worth 3
points each and the last 4 problems are worth 2 points each.
1. Use mathemat

MA3721 PM F14 Jensen Name:
INSTRUCTIONS: Do all of the problems listed below.
1. (2 points) Write out a truth table for
(p q) (p r).
Write out the full table and show all work.
p q r (p q) (p r)
0 0 0 1
0 0 1 1
0 1 0 1
0 1 1 1
1 0 0 1
1 0 1 0
1 1 0 0
1 1

MA3721 PF F14 Jensen Name:
INSTRUCTIONS: The actual final will have 11 problems and you will be able
to cross out one of them and not have it graded. Each problem will be worth 4
points.
1. Use (strong) mathematical induction to prove that
n
X
i i! = (n +

MA3721 M F14 Jensen
Name:
INSTRUCTIONS: Do all of the problems listed below.
1. (2 points) Write out a truth table for
(p q) (p r).
Write out the full table and show all work.
p q r (p q) (p r)
0 0 0 1
0 0 1 1
0 1 0 1
0 1 1 1
1 0 0 1
1 0 1 0
1 1 0 0
1 1 1

UNO Course Syllabus for Math 3721
Course title and number: Math 3721 Discrete Structures. Prerequisite: MATH 1115 or higher, or six
hours of mathematics courses numbered at least 1000. An introduction to the discrete structures that
serve as a foundation

A
variable x that make P(x) true
predicate is a sentence that contains a finite number of
variables and becomes a statement when specific values are
substituted for the variables.
P(x) Q (x) means that every element in the truth set of P(x)
is in the trut

MA3721 Q8 F12 Jensen
Name:
INSTRUCTIONS: Do all of the following problems. Write clearly and show all
work. This is a take home quiz and is due at the beginning of class on Monday,
November 19.
Define a sequence an , n Z+ , as follows:
a1 = 1, a2 = 2, and

UNO Course Syllabus for Math 3400, Sec 1, Summer 2014
A. Course title and number
Math 3400 Geometry. Absolute geometry, introduction to non-Euclidean geometries, Euclidean
geometries, metric approach.
B. Day, time, and place of class meetings
INTERNET, NO

A
predicate
is a sentence that contains a finite number of
variables and becomes a statement when specific values are
substituted for the variables.
The domain of a predicate variable is the set of all values
that may be substituted in place of the variab

MA3721 Q2 F12 Jensen
Name:
INSTRUCTIONS: Do all of the following problems. Write clearly and show all
work.
1. (2 points) Use truth tables to show that
(p q) p p.
2. (3 points) Use the rules on page 35 to show that
(p q) p p.
Be sure not to skip any steps