Tangent Spaces and SubmersionsCovers tangent spaces and submersions in differential geometry, emphasizing vector spaces and differentiable structures.
Geometry of Surfaces in R²Explores the geometry of surfaces in R², including implicit descriptions, critical points, and regular surfaces.
Hyperbolic GeometryIntroduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Curves in the Oriented PlaneExplores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
Curvature and Inflection PointsExplores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
