Mathematics 433/533 Class Notes: Richard Koch

This document contains class notes for Mathematics 433/533 from March 24, 2005 by Richard Koch. It covers topics in curve and surface theory, including arc length, curvature, geodesics, principal curvatures, Gaussian curvature, and the Theorema Egregium. The notes are divided into chapters, with each chapter covering key concepts, formulas, and examples related to the geometry of curves and surfaces.