CMATH 3000 Transition to Abstract Mathematics through Number Theory
This course paves the way to proof-based" mathematics courses (e.g. Abstract Algebra) and provides a comprehensive introduction to number theory. Major topics include the logic of direct and indirect proofs divisibility primality and factoring congruence and modular arithmetic. While mainly focusing on abstract topics we will also investigate the mathematics behind divisibility tests and public key cryptography. Class time and homework will engage students in mathematical inquiry: investigating generalizing conjecturing proof and counterexample.
Offered
as needed