Lectures related to Parameterization of Curves

Explores homogeneous coordinates, curves, and unique solutions in Cartesian coordinates.

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

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

Explores the definition of curves, parameterized curves, and tangent vectors in relation to open intervals and continuous functions.

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

Introduces working with surfaces, polysurfaces, and solids in Rhino, covering rendering, material editing, and mesh creation.

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

Explores Taylor expansions of first order in optimization on manifolds.