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402.4Y3 What Is Uniform Continuity?

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Matthew Salomone

Building intuition for how uniformly continuous functions are different from gardenvariety continuous ones. See the playlist: http://matthematics.com/real

0:00 Introduction
0:55 Intuition: How Does δ Depend On ε?
4:18 Is It a "Slope" Thing?
5:36 NonUniform: We Need To Know x₀ To Find δ
6:58 Uniform: "One δ To Rule Them All"
7:23 What Uniform Continuity Looks Like
9:34 Recap

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402.4Y4 Can Its Slope(s) Make a Function Uniformly Continuous?

402.4Y4 Can Its Slope(s) Make a Function Uniformly Continuous?

402.4A5 Continuous Functions and Open Sets

402.4A5 Continuous Functions and Open Sets

Real Analysis | Intro to uniform continuity.

Real Analysis | Intro to uniform continuity.

Real Analysis | The uniform continuity of sqrt(x).

Real Analysis | The uniform continuity of sqrt(x).

Real Analysis | Showing a function is not uniformly continuous.

Real Analysis | Showing a function is not uniformly continuous.

Proving Uniform Continuity using εδ

Proving Uniform Continuity using εδ

Continuity versus Uniform Continuity

Continuity versus Uniform Continuity

Uniform Continuity (Example 4): Not Uniformly Continuous

Uniform Continuity (Example 4): Not Uniformly Continuous

Pointwise and Uniform Convergence Visualized

Pointwise and Uniform Convergence Visualized

Uniform Continuity lecture

Uniform Continuity lecture

401R3.3 Inequalities, Absolute value, and Triangle Inequality

401R3.3 Inequalities, Absolute value, and Triangle Inequality

Uniform Continuity (Example 3): Not Uniformly Continuous

Uniform Continuity (Example 3): Not Uniformly Continuous

Real Analysis | Uniform continuity and compact sets.

Real Analysis | Uniform continuity and compact sets.

A Look at Some Higher Level Math Classes | Getting a Math Minor

A Look at Some Higher Level Math Classes | Getting a Math Minor

Continuity and Uniform Continuity in Tamil | Real Analysis

Continuity and Uniform Continuity in Tamil | Real Analysis

#1 Uniform Continuity|Uniform continuity definition|Uniform continuity Example|Rahul Mapari Real Ana

#1 Uniform Continuity|Uniform continuity definition|Uniform continuity Example|Rahul Mapari Real Ana

What is Uniform Continuity?

What is Uniform Continuity?

Lecture 13.4 Uniform Continuity on Closed Intervals

Lecture 13.4 Uniform Continuity on Closed Intervals

Uniform Convergence Made Easy!

Uniform Convergence Made Easy!

Continuous and Uniformly Continuous Functions

Continuous and Uniformly Continuous Functions

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