Marshall University Math Colloquium

October 10, 2003

“From slot machines to topology through calculus”

Peter Saveliev

Marshall University

Abstract

Consider the following problem: Suppose two gamblers are playing slot-machines and after a period of time they won $100 each. Is it true that there was a time interval during which each of them won exactly $50? Using Calculus we restate this problem in proper (topological) terms and then solve it. The talk is accessible to Calculus II students.