Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
Covers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Covers optimization on manifolds, focusing on smooth manifolds and functions, and the process of gradient descent.
Explores Riemannian connections on manifolds, emphasizing smoothness and compatibility with the metric.
