Arc Length ApproximationExplores arc length calculation for curves and polygons inscribed in circles using trigonometry and parametric equations.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Surface of RevolutionExplains the parametric equations of surfaces of revolution generated by curves in space.
Curves and SurfacesCovers the representation of plane curves and the nature of obtained curves.
Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Surfaces in SpaceExplores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.
Curvature and Inflection PointsExplores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
