Lecture

Limits and Continuity: Analysis 1

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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 concepts of limits, continuity, and uniform continuity. It explains the properties of functions at specific points, such as left and right limits, and the behavior of functions in neighborhoods. The lecture also delves into the definition of continuity on closed intervals and the existence of maximum and minimum values. Additionally, it explores the notion of uniform continuity and provides examples to illustrate these mathematical concepts.

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

Topology: General topology

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