Derivatives and ContinuityCovers continuous differentiability, the Bernoulli-l'Hôpital rule, and finding extrema using derivatives.
Chain RulesExplores the extension of the chain rule to higher dimensions and compositions of functions.
Directional DerivativesCovers the concept of directional derivatives in multivariable calculus and their applications.
Taylor expansions: second orderExplores Taylor expansions and retractions on Riemannian manifolds, emphasizing second-order approximations and covariant derivatives.
