MATH 210 - Quizzable Vocabulary

Chapter 1

• Recursive Formula of a Sequence
• Closed Formula of a Sequence
• Truth Table
• Proposition
• Propositional Variable
• Logical Connectives:
  • "And"
  • "Or"
  • "Not"
• Negation
• Logically Equivalent
• Tautology
• Contradiction
• Predicate
• Domain
• Symbol to represent membership in a set
• Quantifiers (and what each quantifier means)
• Counterexample
• Implication
• Hypothesis of an Implication
• Conclusion of an Implication
• Converse of an Implication
• Inverse of an Implication
• Contrapositive of an Implication
• Biconditional Statement
• Modus Ponens
• Modus Tollens
• Converse Fallacy
• Inverse Fallacy
• Argument Structure
• Premise of an Argument
• Conclusion of an Argument
• Valid Argument

Chapter 2

• Prime
• Perfect Square
• Even
• Odd
• n is divisible by k (or "k divides n," "k is a factor of n," "n is a multiple of k")
• Rational
• Irrational
• Division Theorem
• mod
• Statement about positive integers
• Principle of Mathematical Induction (PMI)
• Direct Proof
• Proof by Contrapositive
• Proof by Contradiction
• Relatively Prime
• Pigeonhole Principle (both the general and basic version)

Chapter 3

• Set
• Elements of a set
• Roster Method
• Empty Set
• Universal Set
• Set-Builder Notation
  • Property Description
  • Form Description
• Subset
• Equal (as sets)
• Intersection of two sets
• Union of two sets
• Difference of two sets
• Complement of a set
• Principle of Inclusion-Exclusion
• Cartesian Product
• Ordered Pair
• n-tuple
• Power Set
• Partition of a set

Chapter 4

• Function
• Domain
• Codomain
• Binary Relation
• Inverse Relation
• Composition of 2 Functions
• Identity Function
• Composition of 2 Relations
• Invertible
• Onto
• One-to-one