Summer of Math Exposition

Really strong video. Great visuals, steady VO and explanations. I didn’t even know “controller theory” was a whole thing, I thought it was just a PD Controller and that’s it.

Could maybe have done with some music, something to fill the occasional dead air and give the video a little bit more energy/pop.

The font in so cute, I like it. Though I’m still not clear what is controller and what every function does(because I think this video is kind of hard to me), but this video at least give me a insight of what this field is about.

Excellent video, especially enjoyed it because I am trying to learn control theory.

I think a lot of your visuals, especially with the handwritten style, are very nicely done, and I think your live action examples are quite inspired: the one with the chicken is an interesting way to get the basic concept of a feedback controller across, and the Rubik’s cube analogy is a wonderful way to show the benefits of the Laplace transform as a problem-solving tool. The demonstration of how P and PD controllers work on the mass is also quite good.

If there’s one thing that I think is holding you back, it’s a certain degree of “half measure” that relates to how you’re treating the math behind the Laplace transform and the convolution: a lot of the really important properties they have are things that can be proven with commonplace integral calculus rules. I think if you’re trying to strip the math back far enough that you’re not really going to involve manipulating those definitions, I don’t particularly see a reason why it’s better to still include those higher-level concepts rather than just giving a more qualitative explanation. Having that content there but not explained makes the video harder to recommend both to people who aren’t at the level to deal with it, and to people who do.

In any case, well done overall! I think I am going to go back and subscribe later (when I’m signed into the right Google account)

Very interesting! I was unaware of the complexity of designing a controller. The Rubik’s cube analogy for why we use Laplace was really great! Overall…great job!

Math was both visible and hidden; speed was good. I think it would be better with a little LESS graphics design esthetics, i.e. keep the speed but show more gory details of intermediary steps and and integral algebra (in L-transforms), maybe leave them on screen for 2 sec so viewer can pause if they want to follow. Very clean, very appealing and well scripted overall!

I loved the chickens!

All of the explanations were very clear and also motivated very well. I had heard of control theory before, but had no idea what it was about; now I do! I think I am interested enough to watch the rest of the series.

Great video introducing control theory. Nice structure with clear motivation. The video can benefit if it would take a short while to connect “Newton’s laws” with the “double dot.”