Lectures related to Laplace Method: Asymptotic Analysis

Functions Extension and Taylor Expansion

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

Limit Calculations Applications

Demonstrates efficient limit calculations using Taylor expansions and basic algebraic operations.

Laplace's Method: Exercises

Covers exercises related to Laplace's method and complex analysis.

Holomorphic Functions: Taylor Series Expansion

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

Composition of Taylor Expansions

Covers the computation of Taylor expansions composition up to order 4.

Developing Cosine Composition

Explores the composition of Taylor expansions through an example, simplifying complex compositions to identify essential terms.

Laurent Series and Convergence: Complex Analysis Fundamentals

Introduces Laurent series in complex analysis, focusing on convergence and analytic functions.

Power Series and Taylor Series

Explores power series, Taylor series, convergence criteria, and applications in mathematics.

Functions: Differentials, Taylor Expansions, Integrals

Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.

Application of Taylor's approximation formula

Covers the application of Taylor's formula, including composition of functions and detecting local extrema.

Taylor Polynomials: Calculating Limits and Derivatives

Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.

Statistical Theory: Maximum Likelihood Estimation

Explores the consistency and asymptotic properties of the Maximum Likelihood Estimator, including challenges in proving its consistency and constructing MLE-like estimators.

Written Correction: Equilibrium and Taylor Expansion

Covers equilibrium in physics and Taylor expansion with exercises.

Taylor Polynomials and Remainders

Explores Taylor polynomials, remainders, and various function expansions around a point.

Algebraic Operations and Taylor Expansions

Explores algebraic operations on Taylor expansions and the development of various functions.

Taylor Expansion

Covers Taylor expansion around 0, derivatives, integrals, and series in Analyse 1 2018 exam.

Taylor Development: Convexity

Covers the Taylor development theorem, convexity, and computation rules with Taylor.

Taylor Expansions: First Order

Explores Taylor expansions of first order in optimization on manifolds.

Power series and Taylor series

Covers power series, Taylor series, and their applications in functions like logarithmic functions.

Taylor Expansion: Derivation and Application

Covers the derivation of a function near a critical point.