Laplace Method: Asymptotic Analysis

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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.