K E I 1
MATH 240 EXAM 1
Section I (25 x 4 = 100 points) / 100
Usesets A =cfw_1,4,7,B =cfw_h,j,k,C =cfw_xEZI4SxS 10,and D =Z+forProblemsl11:
1. Howmanyelementsarein BXC? B k; 3 - ~13 50 3x? =-
C, has 7'! elimji'
cfw_umxagwik. W), (W,
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Math 240
Chapter 3
Sections 3.1 and 3.2:
The Logic of Quantified Statements
Definitions
A predicate is a sentence that contains a finite number of
variables, and becomes a statement when specific values are
substituted for those variables.
The domain of
Math 240:
Discrete Mathematics
Sections 4.6 4.8:
Indirect Methods of Proof
PROOF BY CONTRADICTION
1. Suppose the statement to be proved is false,
i.e., assume that the negation of the
statement is true
2. Suppose that this supposition leads logically
to a
Math 240
Chapter 5
Section 5.1:
Sequences
EXAMPLE: Suppose you wish to count the number of
people in your family tree, counting yourself
as Row 0. How many relatives are in the kth row?
Describe a function whose input is the row
number, and output is the
Imperial Valley College
Math 240
EXAM 1 REVIEW GUIDE
This exam will be based primarily on the exercises at the end of each section of the Epp text, and on in-class examples.
Sections: 1.2, 1.3, 2.1, 2.2, 2.3, 3.1, 3.2, 3.3, 3.4
CHAPTER 1
Definitions: subs
Math 240
Discrete Mathematics
Sections 5.4 and 5.6
Definitions
DEFINITIONS
A
relation for a sequence
recurrence
is a formula that relates each term to certain of its
predecessors , where with .
The initial conditions for such a recurrence relation
specif
Imperial Valley College
Math 240
CHAPTER 2 PRACTICE QUIZ
1.
Negate the following statements:
a.
b.
Dillon likes big butts and he cannot lie.
If you eat pizza before bedtime, then you will have
strange dreams.
5> x 10
c.
2.
p r q
Find the truth value of th
Imperial Valley College
Math 240
EXAM 2 REVIEW GUIDE
This exam will be based primarily on the exercises at the end of each section of the Epp text, and on in-class examples.
Sections: 4.1, 4.2, 4.3, 4.4, 4.6, 4.7, 4.8, 5.1, 5.2, 5.3, 5.4, 5.6, 5.7, 5.8
Om
Imperial Valley College
Math 240
PROJECT 2
You may work alone or in groups of two. If you work with a partner, turn in one project with both names on it.
This project is due at the beginning of class on Thursday, 10/20. 12 problems 5 points each = 60 poin
Imperial Valley College
Math 240
PROJECT 1
You may work alone or in groups of two. If you work with a partner, turn in one project with both names on it.
This project is due at the beginning of class on Tuesday, 9/20. A total of 40 points is possible.
1.
Nombre APELLIDO
INTITUL DEL TRABAJO POR
Edad
CUAL USTED EST POSTULANDO
Direccin, Ciudad, Pas
Apto - Casa
Tel : xxxxxxxxxxxxxxx
Nombre
APELLIDO
Ttulo xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Email :Ao
[email protected]
EmpresaCiudad
(Ciudad-Pas)
- Pas
Uni
Formato DGP/DR-01
FECHA DE SOLICITUD
Subsecretara de Educacin Superior
Direccin General de Profesiones
Fecha:
ao
mes
da
Solicitud de registro de ttulo y expedicin de cdula profesional para mexicanos con estudios en
Mxico, para niveles de tcnico, tcnico su
Math 240
Chapter 4
Sections 4.1 4.5:
Direct Proof and Counterexample
SOME ASSUMPTIONS
1.
3 properties of equality for all objects:
(Reflexivity)
If , then (Symmetry)
If and , then (Transitivity)
2.
The set Z of integers is closed under addition, subtra