Lecture

Application of Taylor's approximation formula

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In course

MATH-101(en): Analysis I (English)

We study the fundamental concepts of analysis, calculus and the integral of real-valued functions of a real variable. ...

Description

This lecture covers the application of Taylor's formula, including the composition of functions, computing limits, detecting local maxima and minima using higher derivatives, and inflection points. The slides provide examples of differentiable functions around x=0 and demonstrate the process of computing Taylor expansions. The lecture also discusses the concept of local extrema and inflection points in the context of Taylor series and limits.

Instructor

Thomas Mountford

Teaching & PhD Past EPFL PhD Students Damien Gauthier, Samir Brahim Belhaouari, Driss Baraka, Daniel Rodrigues Valesin, Samuel Schöpfer, Kamran Kalbasi, Jacques Saliba, Hao Xue, Keming Chen Past EPFL PhD Students as codirector Guillaume Charles Woessner Courses Analysis I MATH-101(d) Study the fundamental concepts of analysis, and the differential and integral calculus of real-valued functions of one real variable. Markov chains MATH-332 The course follows the text of Norris

Official source

Ontological neighbourhood

Mathematics

Analysis: Calculus, Complex analysis

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