Curves and Isometries

This lecture covers the parameterization of curves and the notions related to them, such as tangent and normal vectors, oriented curvature, convexity, and concavity. It also delves into isometries in the context of curves, discussing symmetry with respect to lines, translations, and rotations. The lecture further explores Bezier curves, their control points, and the calculation of the Frenet coordinate system. The concept of curvature and the explicit calculation of curves are central topics, along with the graphical representation of functions and the length of curves. The session concludes with a detailed explanation of the Frenet coordinate system and its application in curve analysis.