Lectures related to Exponential Function: Change of Variables

Covers the model problem of elliptic PDEs with weak formulation and classical solutions.

Explains the definition and properties of indefinite integrals, highlighting the relationship between primitives and the set of all primitives of a function.

Convex Functions

Covers the properties and operations of convex functions.

Limits: Definition and Properties

Explores the definition and properties of limits, including uniqueness and the two gendarmes theorem.

Optimal Transport: Cyclically Monotone Sets

Covers cyclically monotone sets in optimal transport theory and their properties.

Enclidian Functions: Definition and Properties

Covers the definition and properties of enclidian functions, including uniqueness and applications in mathematical structures.

Rational Powers: Definition and Properties

Covers the concept of rational powers and their properties.

Derivability and Continuity

Covers the concept of derivability and its implications for continuity in functions.

Linear Algebra: Compositions and Injections

Explores compositions and injections in linear algebra, emphasizing their importance.