Hyperbolic GeometryIntroduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Differential Geometry of SurfacesCovers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
Shells ICovers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.
Metric Tensor: DefinitionExplores the definition and properties of the metric tensor, enabling control of geometric quantities and lengths.
Gaussian Curvature and GeodesicsExplores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.