Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Discusses stresses in beams under flexure, including shear forces and bending moments.
Covers the sizing procedure for structural elements and the relationship between moment and curvature in deformed structures, using examples of three-hinged gantry cranes.
Covers the calculation of curvature in beams and the design of beams for stress considerations.
Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.
