Summer of Math Exposition

So you're tired of drawing free-body diagrams

This video explores how an intuitive approach to path optimization problems leads from Newtonian Mechanics to Lagrangian mechanics. Aimed at people who have studied calculus and a little bit of physics, but not necessarily studying physics as a career path, this video hopes to interest people in the subject of physics beyond first-year physics courses.

Analytics

6.2 Overall score*
37 Votes
14 Comments
Rank 35

Comments

I loved the humour! I was definitely thinking "this is way more complicated than free-body diagrams" throughout much of this video, so I liked that you brought this up at the end, and explained the virtues of Lagrangian mechanics. Nicely done!

7.6

Very good video! My one suggestion is to maybe consider originality just because I have seen lots of videos on Lagrangian Mechanics.

6.8

Very nice video! I'm a recent algebra PhD who has always found mathematical physics rather confusing, and this is the first understandable explanation of Lagrangian mechanics I've seen yet. Bonus points for explaining some calculus of variations (in the video and the linked PDF), which I've also never studied properly.

7.7

I loved the illustration and casual style!

7.1

I really liked the explanation of functional variation. Maybe some easy examples of this and also the Euler-Lagrange equation would be helpful.

6.6

The video was well-made, but it kind of skipped over some of the most interesting parts. For example, it completely omitted the derivation of the Euler-Lagrange equation from the calculus of variations.

6.2

The content was nice. A few notes though: - im not sure the motivation for the video (not wanting to draw free body diagrams) was really ever played out on full. - animations aren’t compelling since they are mostly hand drawn cartoons - I think a real example with actual functions and numbers would have been a good use of time I did enjoy the narration and the silliness about the various mathematicians involved!

3.2

I understand you want to make it sort of as accessible as possible, but as a viewer I do want to know what actually you are minimising - sure you've derived in your handout the reverse process, but it doesn't seem to deviate too much from what others have said (e.g. the collab of vcubingx and flammable maths) on YouTube, so the novelty part is lacking.

5.5

Great video! Intuitive, builds up a narrative and motivation, and even provides a handout with more details.

7.1

This video is a good introduction to take some lessons in physics as the author said in the end... The subject is complicated enough , so details are not presented in the video, but there is a link to a complete academic work that explains those details with precision ... There is an effort to present this work with some animations that denotes dedication to achieve the soul of the SoME exposition... Good work,and good luck!! ...

7

motivation 4/10 clarity 4/10 novelty 6/10 memorability 6/10

3.6

Nice Hook. A very informative video. It had a nice flow through the ideas. Try removing the background noise from your audio (use noise reduction in the Audacity program). Some background music might also help.

6.9

I like your animation style. It's different and quirky in a good way. This is a challenging topic, and yet you manage to explain it well in simple terms. That's quite an achievement. If you're planning on making more videos, consider buying a good microphone, to avoid picking up background noise. Please don't smuggle political statements about "dead white guys" into your math videos. It's distracting and irrelevant.

5

Fun, yet still somewhat good intro to Lagrangian mechanics. I empathize with the motion of free body diagrams being a bit much and having another way to look at it is great since not a lot of people delve into other aspects of mechanics past high school or first year or college. I think if there could have been a simple example illustrating the principle in action, then it would elevate it even more,

6.7