Lectures related to Composition of Applications in Mathematics

Weak Derivatives: Definition and Properties

Covers weak derivatives, their properties, and applications in functional analysis.

Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

Explains the union of sets, its properties, operations, and intersection.

Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.

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Mathematical Analysis: Functions and Composition

Covers the analysis of functions, composition, and mathematical induction.

Constrained optimization: the basics

Covers the basics of constrained optimization, including tangent directions, trust-region subproblems, and necessary optimality conditions.