Lectures related to Curve Parameterization

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Explores potential derivatives, Green theorem, simple curves, and adherence in open domains.

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Explains vector functions and the parameterization of curves with examples.

Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.

Explores regular curves, examples like segments and functions, and curvilinear integrals along regular curves.

Covers the calculation of areas using integrals for geometric regions defined by curves and parametric equations.

Covers curves in R^2, regular surfaces in R^3, and geometric properties of edges.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.