Surface of RevolutionExplains the parametric equations of surfaces of revolution generated by curves in space.
Gaussian Curvature and GeodesicsExplores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.
Surfaces in SpaceExplores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.
Shells ICovers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.
Geodesics on SurfacesExplores geodesics on surfaces, focusing on minimizing distances and properties of paths, with examples like great circles on spheres.