Lectures related to Limites à l'infini: Suite et fin

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Explains the volume calculation by intersecting two cylinders using coordinates and integrals.

Covers the Bayes discriminant rule for allocating individuals to populations based on measurements and prior probabilities.

Explores the Supremum Theorem, its properties, proofs, and exercises.

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Introduces Principal Component Analysis, focusing on maximizing variance in linear combinations to summarize data effectively.

Covers integration techniques like partial integration and substitution rule, providing step-by-step explanations.

Explores the Extra-Gradient method for Primal-dual optimization, covering nonconvex-concave problems, convergence rates, and practical performance.