Summer of Math Exposition

when you don't know the answer

Link to interactive Web.VPython simulation: https://trinket.io/library/trinkets/1fe7d9cdd6 Music Ravel: Gaspard de la Nuit - Ondine (Performer: Bernd Kreuger) https://commons.wikimedia.org/wiki/File:Maurice_Ravel_Ondine.ogg “Impact Prelude” - Kevin Macleod https://www.youtube.com/watch?v=on7qf4jUbgw “Late Night Radio” - Kevin Macleod https://www.youtube.com/watch?v=QhtL-6Cf5Xk Credits MIT Runge Kutta Derivation https://web.mit.edu/10.001/Web/Course_Notes/Differential_Equations_Notes/node5.html Atomic Vibration Clip (electrons technically) https://www.youtube.com/watch?v=ofp-OHIq6Wo NASA Hurricane Video https://youtu.be/p-3aB9hJ8Hc?si=qha6kCicKlDLHOxo Solar System Clip https://youtu.be/z8aBZZnv6y8?si=3VX2OkpMlKOix76k

Analytics

6.6 Overall score*
39 Votes
11 Comments
Rank 26

Comments

really informative

7.6

I would recommend Gilbert strangs computational science and engineering book that discusses oscillations.

5.2

Nice introduction

6.9

This was really good, it had all the elements of a great math video. But, I could imagine why a lot of equations without context could put people off. The vast majority of viewers aren't as comfortable with deriving Newton's Laws as the author assumes, and so instead of saying this is derived from x, y or z you are better of showing them some things from first principle (this might lengthen the video though :( )

7.1

That intro was excellent

7.1

Excellent video, super interesting. However I had hoped for a clearer explanation of the RK2 method which seemed to go very quickly, as well as explaining what the significance of first/second order is (etymology) in terms of error. Maybe also some other examples?

7.8

this video was really cool it had a very appealing start by introducing the main problem and made me invested in it very easily maybe most of the math was explained pretty well in my view but i think more example could have been used to show the utility of the methods explained and i like that he left an interactive code that the viewers could toy with

7.6

If you are going to do a video about why Runge Kutta 4 works, I believe one should also include some hints of its derivation and why it makes sense. Other than that, I enjoyed it.

6.2

This was a lovely video. Sometimes equations were reviewed too quickly and/or popped up on the screen without sufficient time for review. It might be beneficial to hear when (under which context) one might like to use the different methods presented.

5.3

Goal Orientation: 8/10 Novelty: 2/10 Thought-Provoking: 3/10 Comprehensibility: 6/10 Technological: 7/10 Overall Average: 5.2/10

6.5

I really liked this one, with all the animations and easy to follow explanations. And the intro.

7.2