Calculus -- The foundation of modern science

Easy to understand explanation of integrals and derivatives using 3D animations.

[EugeneKhutoryansky]

To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available).
--To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable.
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--If you believe that the translation in the subtitles can be improved, please send me an email.

[omniyambot]

Simply explained the relationship between Integral and differential calculus visually without ever mentioning technical terms. This is the fundamental theorem of calculus. Brilliant video.

[smiley]

Wow, 8 years after dropping out of university and I have finally learned what the point of all this was.

[rancidgravy]

with this music it felt like some kind of spiritual journey

[MikaylaTgirl]

I still can't believe that Isaac Newton created Calculus before he turned 25. Seriously one of the smartest humans to ever have lived. I have the utmost respect for the guy.

[EugeneKhutoryansky]

If you liked this video, you can help more people find it in their search engines by clicking the like button, and writing a comment.  Thanks.

[ArthurMorganFTW_RDR]

I am absolutely speechless, I mean with the help of this 20 min video I can understand like half of my textbook...

[damskii]

I've never learned mathematics from a video and danced at the same time before.

[henrythompson]

Thank you. I know your series is about physics, but this one was an eye opener for me. Calculus is a subject I never studied and my math fundamentals are terrible. Your presentation made calculus something meaningful to me. I only wish I had this understanding while in school. I didn't realize how enjoyable studying math or physics could be.

[MichaelHarrisIreland]

Tks, this video helped me a lot to understand what calculus is about. An absolutely beautiful and simple presentation I'm so thankful for. Saves a lot of grey cells for an old man in a hurry.

[lamzez]

I wanted to correct something. I think what you explain in the video as "distance traveled" is actually the displacement. The distance traveled would be the sum of the area of every rectangle, doesn't matter if it's a negative or positive.

[ainnovation]

I was once called Mathematician and human calculator when I was still in school, being top in mathematics in the class and seeing this brilliant mathematics animation, I feel like want to teach and follow your step. I wish the young generation students will find your channel and I will keep recommending your video when some folks asking me about math.

[instruraja]

I cannot thank you enough for putting basic concepts in a detailed manner. thank you very much

[cartsoel]

As a visual learner and someone with ADHD and Autism I really appreciate the pace of the animation. It’s helpful to me to see the whole idea seen through to completion even if it seems redundant. I benefit from having core ideas repeated as they become more complex with each iteration. It makes it easier to digest and grasp and visualize. Very helpful.

I also appreciate the simplicity. I have trouble sorting out which Information is useful or not. The only information shown in the animation and narration was the information necessary to understand the current idea. Thanks!

More Education needs to be like your videos. It should be as easy as possible to learn things regardless of who you are or how your brain works. You do a good job at that.

[pourliver]

This made so much sense! As someone who will take calculus classes very soon, I really want to thank you for these clear explanations!

[sfGuy]

Now I understand the real world application of calculus. Great video and explanation. High schools and colleges need to incorporate your video into their calculus lesson so students can be more excited about its real world application and not be bored out of their mind. My college days of taking calculus was passing the tests and exams, but never understood the application to real world. Took physics and got lost in applying calculus to it.

[Aeroprism]

I still can't believe you put my songs in there. Makes it all hard for me to focus on all the science! Truly great videos, been a fan of this channel for years! Thanks you sir for helping us learn! And you can use more of my music whenever you like! I have lots I haven't even posted on my channel if you need more.

[EugeneKhutoryansky]

If you liked this video, you can help more people find it in their search engines by clicking the like button, and writing a comment.  After this video on calculus up above, I am now returning to making videos on physics.  New physics videos will be coming soon.

[bobmathews]

I struggled through calculus in college. I passed the class, but had no idea what I was doing. I wish I had seen this video years ago. Thanks! This is a great video.

[rango-konk]

I love this!!! I firmly believe that there are certain things in our universe we simply struggle to explain with words!! Words aren't enough!!!! We just need a different sense of approach and perception to understand it!!!