Surface of RevolutionExplains the parametric equations of surfaces of revolution generated by curves in space.
Geometry of Surfaces in R²Explores the geometry of surfaces in R², including implicit descriptions, critical points, and regular surfaces.
Gaussian Curvature and GeodesicsExplores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.
Differential Geometry: SurfacesExplores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.
Surfaces in SpaceExplores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.
Parametric SurfacesCovers the concept of parametric surfaces and the importance of orientation.