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MAT-299T.10   Introduction to Proof: Number Theory1 credit

Prerequisites: MAT-151 or higher with a minimum grade of C.

Methods of mathematical proof will be introduced using concepts from number theory. Topics may include: axioms for the integers, Euclidean algorithm, Diophantine equations, Fermat's Little Theorem, unique factorization, and primality testing.

MAT-299T.15   Introduction to Proof: Combinatorics1 credit

Prerequisites: MAT-151 or higher with a minimum grade of C

Methods of mathematical proof will be introduced using concepts from combinatorics. Topics may include: permutations and combinations, finite mathematical structures, inclusion-exclusion principle and elements of the theory of graphs.

MAT-299T.20    Introduction to Proof: Sets and Functions1 credit

Prerequisites: MAT-151 or higher with a minimum grade of C.

Methods of mathematical proof will be introduced using concepts from sets and functions. Topics may include: the basics of set theory including equivalence relations, cardinality (including the notions of countability and uncountability), and topics covering surjective, injective, bijective, and inverse functions.

MAT-299T.25   Introduction to Proof: Logic1 credit

Prerequisites: MAT-151 or higher with a minimum grade of C.

Methods of mathematical proof will be introduced using concepts from symbolic logic. Topics may include: an introduction to logical implication, quantifiers, contrapositive, and logical equivalence.