Curvature and Inflection PointsExplores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Normal CurvatureExplores normal curvature on a surface, discussing oriented curvature, existence proofs, and elimination methods for finding curvature.
Mechanics of Kirchhoff Rods IExplores the mechanics of slender structures, including Kirchhoff's equilibrium equations of rods and the theory of finite strain and finite rotation.
Differential Geometry: SurfacesExplores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.