Lecture

Taylor Series: Expansion and Properties

In course

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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

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Official source

https://mediaspace.epfl.ch/media/0_e1osxogl

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Ontological neighbourhood

Mathematics

Analysis: Calculus, Complex analysis

Religion

Belief systems: Abrahamic religions

Logic

Classical logic: First-order logic

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