Number theory is the branch of mathematics devoted primarily to studying the integers and integer-valued functions. Lauded as the “queen of mathematics” by none other than Karl Friedrich Gauss, number theory is a delight of pure mathematics with deep applications in cryptography and other computational realms. Students undertake the study of prime numbers, divisibility, Fermat’s little theorem, modular arithmetic, arithmetic functions, as well as generalizations of the integers and applications in cryptography. Emphasis is placed on proof writing, as well as the creation of computer algorithms intended to visualize and access the far reaches of the field.
This is a two-mod course. The first mod, Proof and Advanced Topics in Mathematics, may also be taken as a stand-alone course.
(This course will not be offered in 2023-24.)
Min-Max Credit Hours: 2.0-2.0