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We know a lot about functions now, so let's look at some special cases where functions get weird and jump around. Watch the ...

In this video, we explore the concept of continuous functions and provide a comprehensive explanation of the three key conditions ...

Formal derivatives, the epsilon-delta definition, and why L'Hôpital's rule works. Help fund future projects: ...

Keep going! Check out the next lesson and practice what you're learning: ...

Examples of continuous functions are abundant mathematics is actually the story of continuous function analysis is the story of ...

SoME2 This video gives a detailed construction of transition function for various levels of smoothness. Sketch of proofs for 4 ...

In this video, we explore several ways to combine continuous functions and show that the resulting functions are also continuous.

An introduction to continuous random variables and continuous probability distributions. I briefly discuss the probability density ...

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In this video, we prove two results that show how certain topological properties are preserved under continuous functions.

TheMathCoach explains the basic idea about limits, the definition of a continous function and how continuous functions can be ...

An Evening in Continuopolis [continuous random variables animation, probability density function]

This video covers the limit of a function. The focus is on the behavior of a function and what it is approaching. Remember this is ...

In this video, three key results regarding continuous functions on compact domains are discussed: (1) The first result, already ...

We will discuss a calculus proof that differentiability implies continuity! If a function is differentiable at some point a, then it is ...

MIT 18.100A Real Analysis, Fall 2020 Instructor: Dr. Casey Rodriguez View the complete course: ...

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We are just about done with calculus! Before we go, let's talk about one more topic that brings together differentiation and ...

In this video, we prove that if a function f is continuous on a compact set K, then the image f(K) is also compact. We approach this ...

IIT Madras welcomes you to the world's first BSc Degree program in Programming and Data Science. This program was designed ...

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MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: ...

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