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Calculus Ideas Everyone Should Know

Paul Lutus · Youtube · 80 HN points · 0 HN comments
HN Theater has aggregated all Hacker News stories and comments that mention Paul Lutus's video "Calculus Ideas Everyone Should Know".
Youtube Summary
This video explains a handful of essential Calculus ideas everyone should be familiar with -- how population increases, how bank accounts work, why it takes so long for a car to stop. The explanations are visual and don't require a deep knowledge of mathematics.

Further topical reading at my Website: https://arachnoid.com/calculus

My car braking article: https://arachnoid.com/braking_physics

A technical background article for the orbital physics engine: https://arachnoid.com/orbital_dynamics

Please visit my Website for many more articles and resources: https://arachnoid.com/

Thanks for watching, please like and subscribe.

Index:

00:00 Section 1: Introduction
01:24 Section 2: Functions and Rates of Change
02:07 Section 3: Position, Velocity and Acceleration
03:42 Section 4: Common Misconceptions
06:26 Section 5: Car Stopping Distances
07:51 Section 6: Computers and Calculus
09:22 Section 7: Numerical Calculus Examples
11:42 Section 8: Solar System Model -- Jupiter flyby / gravity Assist
15:02 Closing credits
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Hacker News Stories and Comments

All the comments and stories posted to Hacker News that reference this video.
Oct 27, 2021 · 80 points, 4 comments · submitted by happy-go-lucky
samcheng
If you like this kind of thing, I thought the 3Blue1Brown discussion on calculus was pretty good:

https://www.youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53...

m_kos
Apparently, the author (Paul Lutus) wrote the original Apple Writer [0] and "designed spacecraft components for the NASA Space Shuttle.[1]"

Neat!

0. https://en.wikipedia.org/wiki/Apple_Writer

1. https://arachnoid.com/administration/index.html

coolgeek
The author's 36pp PDF article (which he links to) has much more on the topic.

https://arachnoid.com/calculus/

guerrilla
If this is where you're at, make sure you check out the famous Gilbert Strang's "Highlights of Calculus" series from MIT's OCW. He really boiled it down in those. [1]

1. https://www.youtube.com/playlist?list=PLFW_V3qDH5jRyfpD9uiq6...

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