Explores the geometry of surfaces in R², including implicit descriptions, critical points, and regular surfaces.
Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.
Explains the parametric equations of surfaces of revolution generated by curves in space.
Explores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.
Explores the concept of envelope of curves within families of lines, including implicit equations, super-ellipses, and curvature.
Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.
Covers the representation of plane curves and the nature of obtained curves.
