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.
Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Explains the parametric equations of surfaces of revolution generated by curves in space.
Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
