Essence of Calculus (3Blue1Brown)

About this course

Grant Sanderson's animated series that lets you discover calculus visually, so derivatives, integrals and limits finally make intuitive sense. Who it's for: Class 11 and 12 students, JEE aspirants and anyone who wants to truly understand calculus. These are the free, official videos of the "Essence of calculus" playlist from the 3Blue1Brown YouTube channel (youtube.com/@3blue1brown). All videos belong to 3Blue1Brown; Sikhami is not affiliated with 3Blue1Brown and simply arranges the public playlist into a course, so you can learn one lesson at a time and keep track of your progress.

What you will learn

• The essence of calculus and the paradox of the derivative • Derivative formulas through geometry • The chain rule and product rule visualised • Euler's number e and implicit differentiation • Limits, L'Hôpital's rule and the epsilon-delta definition • Integration, area and slope, and Taylor series

Course content

1 section · 12 lectures · 3h 11m

1. 1. Essence of calculus

   • The essence of calculus17m
   • The paradox of the derivative | Chapter 2, Essence of calculus16m
   • Derivative formulas through geometry | Chapter 3, Essence of calculus17m
   • Visualizing the chain rule and product rule | Chapter 4, Essence of calculus15m
   • What's so special about Euler's number e? | Chapter 5, Essence of calculus13m
   • Implicit differentiation, what's going on here? | Chapter 6, Essence of calculus15m
   • Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus18m
   • Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus20m
   • What does area have to do with slope? | Chapter 9, Essence of calculus12m
   • Higher order derivatives | Chapter 10, Essence of calculus5m
   • Taylor series | Chapter 11, Essence of calculus22m
   • The other way to visualize derivatives | Chapter 12, Essence of calculus14m