The Beauty of Numbers
Division III; Quantative/Formal Reasoning;
This is not the current course catalog
Have you ever wondered what keeps your credit card information safe everytime you buy something online? Number theory! Number Theory is one of the oldest branches of mathematics. In this course, we will discover the beauty and usefulness of numbers, from ancient Greece to modern cryptography. We will look for patterns, make conjectures, and learn how to prove these conjectures. Starting with nothing more than basic high school algebra, we will develop the logic and critical thinking skills required to realize and prove mathematical results. Topics to be covered include the meaning and content of proof, prime numbers, divisibility, rationality, modular arithmetic, Fermat’s Last Theorem, the Golden ratio, Fibonacci numbers, coding theory, and unique factorization.
The Class: Type: lecture
Requirements/Evaluation: evaluation will be based primarily on projects, homework assignments, and exams
Prerequisites: MATH 102 (or demonstrated proficiency on a diagnostic test) or permission of instructor
Distributions: Division III; Quantative/Formal Reasoning;