Surface of RevolutionExplains the parametric equations of surfaces of revolution generated by curves in space.
Curvature and Inflection PointsExplores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Curves and SurfacesCovers the representation of plane curves and the nature of obtained curves.
Analysis III: Third ClassCovers the correction of the simple curve definition and the importance of orientation in mathematical analysis.
Surfaces in SpaceExplores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.
Arc Length ApproximationExplores arc length calculation for curves and polygons inscribed in circles using trigonometry and parametric equations.
Parameterization of CurvesExplores parameterization of curves, emphasizing continuous settings and accurate curve representation through various examples.
Curves in the Oriented PlaneExplores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
