Calculus in a nutshell

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What is calculus? A concoction of graphs, slopes, areas, weird symbols, and incomprehensible formulas? This 3-minute video, a submission to the Breakthrough Junior Challenge 2020, unravels the complexity of calculus by providing a (very) brief introduction to basic calculus concepts in anime-style graphics.

Topics include limits, infinitesimals, differentiation from first principles, integration.

This video is by no means aimed to teach you how to solve calculus problems, but to provide a physical intuition to basic calculus concepts.

Credits:

#breakthroughjuniorchallenge
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bro dropped the hardest math video and thought we wouldn't notice.

pilotpat
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"Even if there isn't any point in your life that you'll have to apply calculus to real life problems, isn't the ability to see the world in another language pretty amazing?"

What a banger line.

rylamistrandall
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- Drops one of the hardest Videos on Youtube
- Does not elaborate further
- Dips

senti
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Computing a very complex integral and getting an answer like 2 or something, seeing the long page of work you just did, and seeing normal people not understand anything that you wrote down makes you feel like an absolute megamind genius. That’s what’s so satisfying about Calculus to me.

Jackt
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I feel like yt is missing these kinds of videos which show a deep artistic appreciation for STEM over educating the audience (which you've done rlly well here too btw!) I think this video stands well on its own as a love letter to calculus <3

triton
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you should make more videos I think you could get pretty big, with how you explain things its pretty easy, you should try to make a Cours on this, I enjoyed this video thank you

i_dont_know_why
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My foundation for math is very basic but I wholeheartedly believe that math is fascinating. I'm always fascinated by how everything in life can be expressed in a bunch of numbers. I seriously wish schools incorporate math with real world scenarios to fully grasp the concept of it and have a very strong mathematical foundation instead of being spoon fed equations and formulas with little to no real world application.

GabsARV
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He dropped this video 2years ago and disappeared, imagine what beast he has become during that timeframe, because this video shows he has a very deep understanding of what he’s talking about, I pray you reach your fullest potential and have a great impact on the world to further help us understand it better.

sforsheriff
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It's impressive how you presented the motivations behind calculus in only 3 minutes. Your art is phenomenal as well. Keep on making great things!

kwstakhc
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This video is so insanely well made! This deserves more views.

Edit: Bro this video suddenly blew up

jqkob
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When I took calculus almost 50 years ago, I wish someone had explained it that clearly. well done!

josephthomas
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pls make more videos; this gave me the motivation I needed to not completely fall apart in my first two weeks of college

nakkatori
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That was cool.
The point of learning math, at least for engineers, outside of the practical uses, is actually to learn how to think better.
Learning math allows you to understand very abstract concepts a lot better, makes your thinking process a lot more structured and organized, teaches you to analize and problem solve etc.
Also, if you manage to understand the meaning behind all the procedures and concepts, you'll gain a much deeper understanding of how the world works.

alaskawoolf
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wow i was expecting an ironic video on calculus but the way you illustrated and summarized the idea behind calculus is just beautiful

greenhat
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I was absolutely SHOCKED to see that this was a submission to the Breakthrough Junior Challenge. The fact that you weren't even a FINALIST is insane. You should've WON! I've never seen somebody explain a concept so beautifully, concisely and engagingly before. The animation made it look like it was something animated by a whole team of professionals working for a multimillion dollar corporation--when I saw "Breakthrough Junior Challenge" I was blown away at the fact that you must've done all of this ALL BY YOURSELF.

My submission this year wasn't a quarter as well put together as this was and somehow I won the popular vote--so, if you're still within the age limit, I believe with all my heart that you could win with a new entry. And, even if you're ineligible by now, I'm really looking forward to seeing what you'll do in the future!!! Subscribed.

hansyboi
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I don’t have the words to explain the satisfaction of knowing that real talent is still out there. What a tremendous display. You have my respect.

juankolman
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This video deserves so much more attention! I've never seen calculus as deep as this video presents it. Thank you

Jay-huol
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So happy this video is finally getting traction! My class has started out learning calculus, and I always took it for granted, but this is pretty insightful.

elisemariechoi
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0:05 so far as the average student and teacher are concerned, that's what math is, because math history is partially or completely absent in maths education.

TheAlison
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Not only is the art and animation amazing, but the explanation is so well done. What a great video!

lwwisur