Lecture

Continuous Functions: Definitions and Criteria

Description

This lecture covers the definition and criteria for continuous functions, including the three conditions for continuity at a point, the Cauchy criterion for continuous functions, and the extension of functions by continuity. It also explores functions continuous on an interval, the intermediate value theorem, and the corollary related to the existence of solutions for specific equations.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_x22gqvmc

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Ontological neighbourhood

Mathematics

Analysis: Complex analysis

Topology: General topology

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