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