Calculus
From "what is a derivative?" to Taylor series, mostly through pictures. Watch them in this order.
- 1
The essence of calculus3Blue1Brown
Start here: the big idea of calculus, rediscovered from the area of a circle.
- 2
16:50The paradox of the derivative | Chapter 2, Essence of calculus3Blue1Brown
What a derivative really is, and why "instantaneous rate of change" sounds like a paradox.
- 3
17:34Derivative formulas through geometry | Chapter 3, Essence of calculus3Blue1Brown
The derivative rules you will use most, seen as geometry instead of memorised.
- 4
15:56Visualizing the chain rule and product rule | Chapter 4, Essence of calculus3Blue1Brown
The chain rule and product rule, the two tools that unlock everything else.
- 5
13:50What's so special about Euler's number e? | Chapter 5, Essence of calculus3Blue1Brown
Why e shows up everywhere: the one function that is its own derivative.
- 6
20:46Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus3Blue1Brown
Integrals and the fundamental theorem: why area and slope are two sides of one coin.
- 7
18:27Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus3Blue1Brown
Limits done properly, once the intuition is in place.
- 8
22:20Taylor series | Chapter 11, Essence of calculus3Blue1Brown
Taylor series: approximating any function with polynomials. A great finale.