Lectures related to Regular Curves and Bijectivity

Covers the reparameterization of geometric curves and the concept of 'same geometric curve'.

Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.

Covers geodesic curves parameterized at constant speed to minimize distances between points.

Covers Descartes' Folium, a parametric curve with domain boundaries and tangent vector analysis.

Examines geometric singularities in architectural design through the analysis of spatial intersections.

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.