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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: ...

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This video covers practical iimplementational aspects of the continious least squares approximation. An example problem is ...

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

Finding the domain and range from the graph of a continuous function and writing the answer in interval notation. This video ...

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

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 ...

Access all videos and PDFs: https://tbsom.de/s/fa Become a member on Steady: https://steadyhq.com/en/brightsideofmaths ...

Access all videos and PDFs: https://tbsom.de/s/ra Become a member on Steady: https://steadyhq.com/en/brightsideofmaths ...

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

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: ...

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

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: ...

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

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

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