This is an introductory course in Number Theory. The course will explore the properties of, and the relationship between, the natural numbers, integers, rational numbers, and irrational numbers. This course will explore and prove theorems related to topics in number theory such as: Pythagorean Triples, Divisibly, The Fundamental Theorem of Arithmetic, Congruences, the Chinese Remainder Theorem, Prime numbers, Modulo arithmetic, Pell?s Equation, Diophantine's Approximation, and the Gaussian Integers.