Laplace Method: Asymptotic Analysis

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

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

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

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

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

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

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

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

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

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