HON 2520. Mathematical Concepts and Applications
Embark on an exploratory journey into the realm of integers, primes, and the unique properties that define them in this introduction to Elementary Number Theory. Designed with all levels of mathematics in mind, this course invites students to appreciate mathematics through an inquisitive lens. By experimenting with numbers, making conjectures, and observing patterns, students will discover the intriguing world hidden within numbers. Emphasis is placed on observation, exploration, and conceptual comprehension. Topics covered include divisibility, prime numbers, congruences, the Fundamental Theorem of Arithmetic, modular arithmetic, quadratic reciprocity, and more. Ideal for students who wish to experience the beauty of mathematics, this course is a doorway to the enchanting world of Number Theory. Credit, 3 semester hours. Honors students receive General Education credit for a course in the Divisional Electives area of Natural Sciences and Mathematics.