Electronic Proceedings of the 12th Asian Technology Conference in Mathematics

 

 

Abstract

The Internet and Critical Points in Calculus, Geometry, and

Topology

Author: Tom Banchoff

Affiliation: Brown University

Internet-based courses in calculus, geometry, and the topology of surfaces make it possible for students and teachers to explore topics that start in calculus and continue to grow in subsequent courses. Starting with critical points of functions of one and two variables, we trace this theme through the Critical Point Theorem and the Gauss-Bonnet Theorem."