Lectures related to Wirtinger derivatives

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

Introduces derivatives, forward contracts, options, and their financial uses.

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.

Explores complex derivatives, Cauchy-Riemann equations, rules of derivation, and properties of holomorphic functions.

Explores multi-index, Taylor formula, partial derivatives, and remainders estimation in Taylor series.

Explores functions of class C^p, emphasizing continuity and differentiability properties.

Explores canonical transformations, the Hamilton-Jacobi equation, symplectic groups, and differential equations in physics.

Explains partial derivatives, Hessienne matrix, and their properties.

Covers differentiability, derivatives, composite functions, linear approximation, and partial derivatives.

Covers Wirtinger derivatives in complex variables, discussing their definition, application, and properties as independent variables.

Explores differentiability in analysis, discussing conditions for functions to be differentiable and continuous.

Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.

Explores the history and evolution of derivatives markets and securities tied to underlying assets.

Covers properties of logarithms, derivatives, exponentials, and sine-cosine functions.

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Explores distribution interpolation spaces, convergence of sequences, derivatives, weak derivatives, and their applications in minimization problems.

Covers the basics of derivatives, limits, composite functions, partial derivatives, and primitives in physics.

Explores Taylor polynomials, including order, development, limits, and algebraic operations.