Curvature and Inflection PointsExplores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Extrema of FunctionsCovers the discussion of local extrema, concavity, convexity, and inflection points in functions.
Curves in the Oriented PlaneExplores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
Envelope of CurvesExplores the concept of envelope of curves within families of lines, including implicit equations, super-ellipses, and curvature.
Surfaces in SpaceExplores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.