Why Order Matters: An Introduction to Non-Commutative Mathematics
Self-paced
Instructor: Melanie Butler
Full course description
What do mathematicians actually study once they move beyond numbers, equations, and calculus? In this course, you'll explore the world of abstract mathematics through an accessible introduction to non-commutative rings: a mathematical structure that challenges some of our most familiar assumptions about arithmetic. Along the way, you'll discover how mathematicians define new systems, investigate patterns, and use logical reasoning to explore ideas that may seem far removed from everyday life.
Through a short reading, guided reflection questions, and a faculty presentation, participants will gain insight into how mathematicians think and why abstract mathematics remains an important part of a liberal arts education. No advanced mathematical background is required, just curiosity and a willingness to engage with new ideas.
Enrollment fee is non-refundable.