Curves in the Oriented Plane

This lecture covers the concept of curves in the oriented plane, discussing the orientation of curves, bases of vector spaces, and the equivalence relation of orientation classes. It explains how to determine if a vector space is oriented and the relation of equivalence called 'orientation class'. The lecture also delves into the exterior product of vectors, the angle between vectors, and the curvature of regular curves. The instructor demonstrates how to define the normal unitary vector and the curvature of curves in the oriented plane.