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MATE3020

This course covers Discrete Mathematics.

  • logic
  • axiom
  • proposition
  • lemma
  • theorem
  • corollary
  • truth table
  • conjuction
  • dysjunction
  • negation
  • quantifier
  • direct demonstration
  • demonstration by contradiction
  • counterexample
  • demonstration by contraposition
  • set
  • relation
  • intersection
  • union
  • exclusive or
  • venn diagram
  • inclusion-exclusion principle
  • boolean algebra
  • equivalence relation
  • partial order
  • relation matrix
  • function
  • injectivity
  • surjectivity
  • function composition
  • inverse function
  • bijectivity
  • permutation
  • countable set
  • cardinality
  • integer
  • divisibility
  • division algorithm
  • base change
  • least common multiple
  • largest common divisor
  • Euclid’s algorithm
  • prime number
  • Fermat’s little theorem
  • integers modulo n
  • induction
  • recursion
  • strong induction
  • recurrence relation