Math 310
Exam 2 Review (Chapters 3)
Updated 3/6/2015
Section
Various
Chapter 3
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Section 3.4
Section 3.5
/ 3.6
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Topic
Questions
/ Probs
 5
Translate statements into
symbols and symbols into
words.
Construct truth tables of
 5
disjunction, conjunction,
negation, conditional and
biconditional
Find truth value from
 6
statement
Construct a truth table –
 3
identify tautologies (all are
2 statement only)
Use equivalent statements to  2
rewrite a conditional
statement
Construct a truth table for a
 1
circuit
Converse, inverse and
contrapositive
 Truth tables
 1
 Translate given
 5
conditional
(words/symbols)
 Determine truth value
 4
Arguments
 Euler diagrams
 Truth tables
 Valid and invalid
argument forms
See Vocabulary next page
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6
Review Problems
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p. 89 #28, 43, 49
p. 109 #28, 37
review notes
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p. 99 #33, 37
p. 109 #51, 46, 49, 52
 p. 99 #47
p. 109 #59
one biconditional
 p. 108 – 19 #73, 75
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p. 109 #93
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See table p. 111
#1, 13
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25, 27, 46, 47, review
translations on table p.
112
p. 119 #3, 18
p. 131 #7, 9, 11, 32
+ review class notes
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Vocabulary / Concepts
Statement
Connectives
Compound statements
Quantifiers – All / None / Some
Conjunction / Disjunction / Negation
Number systems
Truth Table
Equivalent Statements
De Morgan’s Laws
Conditional / Bi Conditional
If, Then
If and only if
Circuits
Converse
Inverse
Contrapositive
Translations of p  q (see p. 125)
Euler diagrams
Valid and invalid arguments
 Modus Ponens
 Modus Tollens
 Disjunctive Syllogism
 Reasoning by Transitivity
 Fallacy of the converse
 Fallacy of the inverse