Learn Calculus With These Four Online Courses

https://lifehacker.com/learn-calculus-with-these-four-online-courses-1836377912/amp

Four Online Free Calculus Courses:
1. http://www-math.mit.edu/~djk/calculus_beginners/

2. “Calculus Made Easy” (1910 )

http://calculusmadeeasy.org/

3. “Essence of Calculus” (12 short videos, with Chinese subtitle)

4. [Best👍] “Calculus” (MIT Prof Gilbert Strang)

https://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005/textbook/

Walter Bradley Center Fellow Discovers Longstanding Flaw in Elementary Calculus

https://mindmatters.ai/2019/04/walter-bradley-center-fellow-discovers-longstanding-flaw-in-elementary-calculus/

… The paper on the proof of the second derivative (Quotient rule) :

https://www.dropbox.com/s/mv6npb3tpe76xjl/4.pdf?dl=0

Reference:

Faà di Bruno Fomula

The universe’s secrets are at your fingertips – just learn calculus | Cornell Chronicle

https://news.cornell.edu/stories/2019/03/universes-secrets-are-your-fingertips-just-learn-calculus

https://www.sciencefriday.com/articles/the-language-of-calculus/

Hacker Calculus

Understanding Math Rather Than Merely Learning It

The Error Function & The Integral of e^(-x^2)

The Bell Curve:

Improper Integral vs. Infinite Series

To test if the infinite series converges,
provided the function
in the interval [2, ∞[ is:

• positive &
• decreasing function

you can convert it to
(although they converge to different values.)

Integration by parts, DI method

(Traditional Method learnt at O-Level) Integration by Parts:

NEW Technique taught by this UC-Berkley Chinese Mathematician: “DI” Method

First Stop: “D column at 0 “

2nd Stop:

3rd Stop: