Lectures related to Taylor's theorem

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Covers functions extension and Taylor expansion, exploring mathematical concepts in depth.

Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.

Explores the theory and application of Taylor polynomials for function approximation and limit calculations.

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Covers the calculation of limits using Taylor series and the composition of compound functions.

Covers Taylor series, remainder order, limits, and convergence criteria in approximating functions.

Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

Covers the interpretation of Taylor's formula through an example, focusing on developing limited series for sin(x) around a=0.

Covers the Taylor's formula, its interpretation, and applications in mathematics.

Explores Taylor's formula in two variables, emphasizing its application and importance for functions of a single variable.

Covers the study of local functions, behavior analysis, and Taylor series development.

Covers the concept of functions being n+1 times differentiable and the Taylor formula.

Covers the derivation of a function near a critical point.

Covers the development of Taylor polynomials of order 2, including examples and calculations.

Covers Taylor series with integral remainder for open intervals and their applications in mathematical analysis.

Explores Taylor's formula, polynomials, functions, and series applications.

Explains Taylor polynomials, small o concept, variable changes, and remainder calculation.

Covers Taylor's approximation theorem, differentiability, error control, and function expansions.