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Subsection 2.3 Topics

  • Proposition Logic; Predicates; Quantifiers; Encode statements into predicates with quantifiers; Boolean formulas; the notion of Satisfiability.
  • Basic Proof Techniques–Direct Proof; Proof by Contradiction; Simple Examples; Refresher on summation notation.
  • Induction and Invariants–Basic proofs by induction; Proving simple invariants
  • Graph Theory–Graph Coloring and applications; Trees; Planarity; Proving simple graph properties using induction
  • Sets and Functions–Definitions, Relations; Injections, Surjections, and Bijections; Infinite sets; uncountability
  • Recurrences–Recurrence relations; Solving Linear recurrences
  • Big-O and Intro to Algorithms–Growth of common functions; Big-O and Big-Omega; Master Theorem