3Blue1Brown: Essence of Calculus
Grant Sanderson
  • Course duration: 2h 49m
In this liveVideo course mathematician Grant Sanderson—better known on YouTube as 3blue1brown—sets out to make calculus feel like something that you could have discovered yourself. FREE ON LIVEVIDEO, Essence of Calculus gets to the heart of this core mathematical study in one binge-watchable series of lessons. Grant’s distinctive animation-and-visuals style and friendly approach makes learning calculus not only intuitive, but also fun!

About the subject

Calculus is the branch of mathematics that deals with calculating continuous change. It is used in every technical discipline—including computer science, statistics, and engineering. If you want to create models to obtain optimal solutions, you need to have basic skills in calculus.

About the video

Calculus is often presented as a set of rules to be memorized. Essence of Calculus takes a different angle, covering calculus’s core ideas in a way that ensures you know where they come from and what they actually mean. It gives you all the necessary information for you to “invent calculus” for yourself, making the logical leaps just like you were an historical mathematician. Through a friendly and easy-to-understand visual approach, you’ll learn derivative formulas through geometry, implicit differentiation, and more. This liveVideo course is ABSOLUTELY FREE. Just add it to the cart for $0.00 and check out.
Table of Contents detailed table of contents

Essence of Calculus

The essence of calculus

The paradox of the derivative

Derivative formulas through geometry

Visualizing the chain rule and the geometry rule

What’s so special about Euler’s number e?

Implicit differentiation, whats going on here?

Limits, L’Hopital’s rule, and epsilon delta definitions

Integration and the fundamental theorem of calculus

What does area have to do with slope?

Higher order derivatives

Taylor series


You’ll need basic math skills.

What you will learn

  • How derivatives work
  • Core derivatives formulas
  • Chain rule and product rule
  • Formal derivatives, the epsilon-delta definition, and why L'Hôpital's rule works
  • Integrals and the fundamental theorems of calculus
  • Where to go beyond calculus

About the instructor

Grant Sanderson studied mathematics at Stanford, with a healthy bit of computer science along the way. His YouTube channel 3blue1brown presents math with a visuals-first approach and has over 2.2 million subscribers.

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