Lecture

Taylor Series: Expansion and Properties

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In course

MATH-101(c): Analysis I

Étudier les concepts fondamentaux d'analyse et le calcul différentiel et intégral des fonctions réelles d'une variable. ...

Description

This lecture covers the expansion and properties of Taylor series, focusing on the calculation of derivatives and the uniqueness of the series. It also explores the application of Taylor series in approximating functions and the concept of differentiability. The instructor demonstrates the process of expanding functions around a given point and discusses the conditions under which a function has a Taylor series. Examples are provided to illustrate the application of Taylor series in various scenarios.

Instructor

Sacha Friedli

Diploma of Physics, Université de Lausanne, 1999 Phd, Institut de Physique Théorique, EPFL, 1999-2004 Post-doc, IMPA (Instituto Nacional de Matemática Pura e Aplicada), Rio de Janeiro, Brasil, 2004-2006 Adjunct professor, Departamento de Matemática (Universidade Federal de Minas Gerais), 2006-2016 Collaborateur Scientifique, Cours de Mathématiques Spéciales, EPFL, Lausanne, 2016-

Official source

Ontological neighbourhood

Mathematics

Analysis: Calculus

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