Curves and SurfacesCovers the representation of plane curves and the nature of obtained curves.
Surface of RevolutionExplains the parametric equations of surfaces of revolution generated by curves in space.
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.
Curves in the Oriented PlaneExplores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.