Summer of Math Exposition

I find this explanation very intuitive, and well-animated.

- Make better use of colors for parts of the terms as the viewer is then able to more easily rediscover it - When you form the areas v du and u dv it would be better to move the areas to make it clear how it fits together with the original areas. Essentially, you are visualizing the Grenzprozess (sorry, I am German ;) of your du/dv like you did in the u-v-diagram of the vector parametization of your function [f, g] - It would probably be better to show the formula in the beginning, instead of the ackward intro. Definitely goes into the right direction. Polish, polish, polish... 6/10

I quote it "better than most " because it is a very goog and useful idea to demonstrate things we have learned without having got real explanations (the same for pythagorean theorem for example) Neverteheless I think it would be more explanatory with a commentary on top of the visualization.

Hi ! That's a great visualization of the integration by parts formula ! The animations are very good, maybe a little overcrowded at the end with all the notations. But to make your presentation clearer you really need to add voiceover. I figured what the video was about only in the last 30 seconds, which is not ideal to understand a topic. Hope you'll be able to use the manim-voiceover plugin, you can even use AI voices if you don't have a microphone. Thanks for submitting !

Very hard to follow

Motivation 1/5 - I would like to see more of an introduction, whether it be tying it to a story or providing a use case - I get that this might be hard when the goal is a proof without text, but even in Nelsons proof without words, he uses a short blurb to quickly summarize what he is proving - you could probably do this while sticking to your goal of not using any text: - a quick animation of using IBP on either a simple integral or in its general form example would show what is IBP and why its useful - At the very least, showing the general form of IBP at the beginning would get you at least a 2 or 3 for motivation since its a very familiar equation for many Clarity 5/5 - enjoyed the use of manim, and it helps with the explanation of *relations* between different terms - However, I would like to see a better introduction of the terms and concept overall like stated in the previous part - I do love this explainer though! I'm going to have to buy that book because I absolutely love this proof Novelty 3/5 - really enjoyed this short, concise explanation of something beautiful - Many other videos tended to be to wordy while you required none - However, I can't give you too much for novelty, because apart from animating Nelsons proof, there wasn't much individual contribution - I would give a 4 or a 5 if you could add additional examples, or maybe including other proofs as well to form one longer video - Even better if you could adapt this proof to something more complicated that Nelson doesn't cover, or combine multiple proofs to solve one larger question / problem rather than just serially stringing them together - That would be a 5/5 for novelty Memorability 5/5 - what can I say, this is unforgettable overall 3.5/5

Considering that it's only 2:17, expectations shouldn't be too high. The rectangles coming off the x and y axes did not look good (I think it would look better if they were thinner and the midpoint was placed on the curve). I still think that understanding IBP as a method to undo the product rule is very important conceptually, but it's nice to have a geometric approach as well.

This was very beautiful.

Visualization implies some intuition. I doubt there is some intuition behind that. Also, no explanations.

Cool intuition! perhaps going a little slower would help? But you should evaluate that depending on the analytics of your video! I am glad i got to see it though!

A short text stating the goal of the video at the beginning would be nice. Just "One of Calculus's Most Famous Theorems" could mean many different things. Also an actual voice explaining the steps would be helpful as some of them could be not very clear for some viewers.

The area visualization provided good intuition, but there was a lot of math at the end that wasn't as clearly presented as the rest of the video

This is a very nicely done animation, it's very short and sweet. Unfortunately, that leaves me with very little to give really meaningful feedback on with the video itself. I think for me, this is something very beautiful, I'm very partial to proofs without words, and I think your animation is clean and the music relaxing. However, I can't shake the feeling that I haven't really learned anything watching your video. It's so short, and the visual proof is so facile, that there's not much to sit and think about, to feel uncomfortable about, to struggle with, to eventually overcome with new knowledge. You've certainly created something of great beauty, something which I think math on youtube is the better for having, but I'm not totally sure I could say that what you've created is "Math Exposition", and in that regard it seems somewhat inappropriate to this competition.

Motivation: The title captures most of it. One of the downsides of this format is that you don't have the opportunity to "sell" the video. Still, in this case, since the topic is likely to be known by your target audience, that doesn't hurt too much. Clarity: Although it's put in the video description, a quick note onscreen or in the title saying the video is about IBP might prevent some confusion. Also, keeping the original graphs for u,v in terms of x (small and in the corner, perhaps) might be appreciated for that last slide. Novelty: The gimmick of turning a proof without words into a video proof without works was neat— something I haven't seen before. I think that was mostly unobtrusive for the content, although it does force the viewer to get the information in "just one way", rather than a second that narration might have provided. Memorability: As a short video with a unique style, I think this one will stick around in my mind and I'm interested to see if you expand on this format. (I can't point to anything specific imagery in the video that made an impression on me, though, which might be an avenue for improvement.)

Great animations! Would definitely be helped by a script/narration.

great bro a new perspective

Doesn't really use the benefits of video format, it could have been a page in a math book. (static graphs and formulas)

This could have been a masterpiece but not well executed at all

If i was struggle to get this, this would help, but if I dont look specyficly for this it doesnt make sense