3 credits Prerequisites: MTH 142, CSC 156. Logic: truth tables, connectives, and quantifiers. Proof: formal and informal reasoning, strategies, proof by contradiction, existence, counterexamples. Set Theory: sets, operations on sets. Cartesian product, relations, functions, equivalence relations. Mathematical induction. Groups: modular arithmetic, permutation groups, isomorphism. Number systems: construction of the integers and rationals, ordered fields, the completeness axiom.
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