Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Introduces scalar gravity, covering covariant derivatives, Ricci tensor, Einstein Equivalence Principle, and the generalization of Newtonian gravity equations.
Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
Explores normal curvature on a surface, discussing oriented curvature, existence proofs, and elimination methods for finding curvature.
