Curves in the Oriented PlaneExplores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
Oja's RuleCovers Oja's rule in Neurorobotics, focusing on learning eigenvectors and eigenvalues for capturing maximal variance.
Derivatives and ContinuityCovers continuous differentiability, the Bernoulli-l'Hôpital rule, and finding extrema using derivatives.
Taylor expansions: second orderExplores Taylor expansions and retractions on Riemannian manifolds, emphasizing second-order approximations and covariant derivatives.
Derivative Chain RuleCovers the derivative of the composition of two functions and the chain rule theorem.
