Lecture
Bisection Method: Proposition and Demonstration
Description
This lecture covers the bisection method, also known as the dichotomy method, focusing on a proposition and its demonstration regarding a continuous function within a closed interval. The proposition states conditions for the existence of a root, followed by a detailed proof.
In MOOCs (9)
Analyse I
Le contenu de ce cours correspond à celui du cours d'Analyse I, comme il est enseigné pour les étudiantes et les étudiants de l'EPFL pendant leur premier semestre. Chaque chapitre du cours correspond
Analyse I (partie 1) : Prélude, notions de base, les nombres réels
Concepts de base de l'analyse réelle et introduction aux nombres réels.
Analyse I (partie 2) : Introduction aux nombres complexes
Introduction aux nombres complexes
Analyse I (partie 3) : Suites de nombres réels I et II
Suites de nombres réels.
Analyse I (partie 4) : Limite d'une fonction, fonctions continues
Limite d’une fonction et fonctions continues
Official source
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Ontological neighbourhood
Related lectures (38)
Numerical Analysis: Nonlinear Equations
Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.
Integration by Change of VariablesMOOC: Analyse I
Covers integration by change of variables and the derivation in chain rule.
Bisection Method: Zero Finding
Covers the bisection method for finding zeros of continuous functions.
Continuous Functions and Derivatives
Covers the definitions of continuous functions and derivatives, emphasizing the concept of functions being continuous at a point and the notion of derivatives.
Properties of Continuous Functions
Explores the continuity of elementary functions and the properties of continuous functions on closed intervals.