Curves and SurfacesCovers the representation of plane curves and the nature of obtained curves.
Geodesics on SurfacesExplores geodesics on surfaces, focusing on minimizing distances and properties of paths, with examples like great circles on spheres.
Gaussian Curvature and GeodesicsExplores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.
Shells ICovers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.