Explains the parametric equations of surfaces of revolution generated by curves in space.
Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.
