Summer of Math Exposition

Presented by 3Blue1Brown 3blue1brown

What's so "linear" about linear differential equations?

Why are linear differential equations called linear in the first place?. From function spaces to Wronskians, I present a linear algebra perspective of the interesting realm of differential equations.


Analytics

5 Overall score*
84 Rank
33 Votes
12 Comments

Comments

3.2
I have a few criticisms for this video. Before I go into them, I appreciate your contributions to online math education. 1) It is too fast and monotone. You should add more emotion into your speech. It doesn't come immediately, you just have to practice. Also the animations are too fast and kind of distracting at times (more in the second half) 2) In the the animation of the system of equations and determinant, it would be nicer if the symbols don't just shuffle randomly and the functions and coefficients visibly go to their places. 3) This is more of a suggestion. Add one problem from the real world in your videos. It could be one that reduces it to a simple problem. It is important for the student, because otherwise, he will be confused and ask the old question "When will I use this in real life?" Good luck going forward! We need it.
6
The closing music started too early, and interfered with the end of the narration.
5
Have an intro. Also the video doesn't flow with a sense of discovery. It's just a knowledge dump. Regardless, I quite liked it :)
7
Very good design. But I think there is too much text, which is unnecessary : viewers will focus on texts rather than on the audio. Thus, I advise you too put only keywords, and keep up the (very !) good work ! Have fun :)
1.9
motivation 0/10 clarity 2/10 novelty 2/10 memorability 0/10 explain the jargon with animations and use breaks in the narration
3.4
Goal Orientation: 6/10 Novelty: 1/10 Thought-Provoking: 0/10 Comprehensibility: 7/10 Technological: 5/10 Overall Average: 1.9/10
6.1
Good compact video with good script and graphics. In general the content is not super interesting and a bit "banal" apart from the W function introduced here
7.9
great but you can be a bit slow(midway video)...but yes the faster is way cooler(after video is complete)...good job bro.
5
I think the video was well done, however I do feel that a lot of it could have just been done in PPT rather than with Manim. Also, some of the text you put on screen was not left up long enough to read and digest without having to pause.
8.1
Very short but amazing video explaining the linear operator. It was really entertaining and easy to follow. I think it might be a little hard to understand everything if you're not familiar with the topic, as you’re providing a lot of information. Nevertheless, it’s well explained and really good. Keep making more math videos!
3.9
While the topic presented is interesting, the video is trapped by wanting to use the correct and rigorous definitions while on the other hand doesn't have the time two cover multiple semesters of mathematics. To the general viewer, most concepts would benefit an example. While the linear differential equation example you give shows a lot of steps, they are only shown for a few seconds, and the voice-over only comments on more abstract proceedings. The video could also use some introduction showing where it leads.
8.4
Amazing video! This is just a personal preference, but I'd love it if instead of an AI voiceover there was a human voice narrating the video.