Optimization on ManifoldsCovers optimization on manifolds, focusing on smooth manifolds and functions, and the process of gradient descent.
Introduction to OptimizationIntroduces linear algebra, calculus, and optimization basics in Euclidean spaces, emphasizing the power of optimization as a modeling tool.
Scalar Product and Euclidean SpacesCovers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.
Orthogonality and SubspacesExplores orthogonality, vector norms, and subspaces in Euclidean space, including determining orthogonal complements and properties of subspaces and matrices.