Lectures related to Enclidian Functions: Definition and Properties

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

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

Linear Algebra: Multilinear Forms

Introduces multilinear forms in linear algebra, emphasizing clarity and logic in presentation.

Limits: Definition and Properties

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

Linear Algebra: Compositions and Injections

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

Elliptic Partial Differential Equations

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

Exponential Function: Change of Variables

Covers the concept of exponential functions and their change of variables.

Optimal Transport: Cyclically Monotone Sets

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

Rational Powers: Definition and Properties

Covers the concept of rational powers and their properties.