Taylor expansions: second orderExplores Taylor expansions and retractions on Riemannian manifolds, emphasizing second-order approximations and covariant derivatives.
Symplectic GeometryCovers the background on symplectic geometry, focusing on symplectic manifolds and canonical structures.
Derivative Chain RuleCovers the derivative of the composition of two functions and the chain rule theorem.
Markov Chains and ApplicationsExplores Markov chains and their applications in algorithms, focusing on user impatience and faithful sample generation.
Directional DerivativesCovers the concept of directional derivatives in multivariable calculus and their applications.
