Curves and Surfaces

3 credits · Undergraduate

The course is designed as an introduction to differential geometry, the study of geometric objects by means of analysis. It presents a comprehensive study of curves and surfaces in Euclidean space. Topics include: Frenet frame and equations, curvature, torsion, first and second fundamental forms, shape operator, Gauss-Weingarten equations. PREREQUISITES: MATH 2002.03 and (MATH 2040.03 or MATH 2135.03) or consent of instructor FORMATS: Lecture