Summer of Math Exposition

The topic is good but the video is really fast and you don’t really get time to focus on the equations the substitutions and the reasoning because you can follow the rhythm proposed. I imagine that the answer tries not focus in the answers analytically but the reasoning itself but also it’s so fast to follow either.

I like the intention but it should take a smaller tempo. Don’t hurry up with explanations and focus in the most important thing in every parts. The audio could be clearer also.

Nice visuals, but the pace is absurdly fast and it’s less finding a solution and more just introducing a very specific scenarion and rearranging some terms in an equation which just appears with hardly and explaination as to why. At least the goal is made clear in a nice and funny introduction. Nice concept but sadly not well executed in my opinion

Very interesting topic! I enjoyed the premise and concept of the video. I liked how you applied high-school math to a novel application that wouldn’t have necessarily been covered in school curriculum. I found at times it was a bit fast-paced, however, making it slightly harder to follow.

I sometinmes had a hard time understanding where you were going (no pun intended). The pacing of the exposition could be improved : I think you could have spent more time on the indtroductio and the modelling aspects, and shortened (or skipped) the formal ODE solution part. The last part, introducing momentum could also have been clearer (I was a bit lost).

The video production was very good and I like the choice of topic. Unfortunately, the whole thing felt rather rushed; I’m by no means a novice at calculus or DiffEq but the derivations from about 2:00 to 4:30 in the video were handled so quickly as to leave my head spinning a bit. The equations were useful, and kudos for going your own way on the graphics, but this is one case where I feel like something Manim-like would have been actively useful, to highlight and call out specific terms and specific manipulations through your solution. I also feel like the equations themselves were over-emphasized, though that does depend on what the primary goal of your video was; if it was to discuss pursuit paths and problems in general, rather than the solution of that particular model, then I think you could have elided many of the details, given maybe a rough outline of the manipulations, and presented the formula. It would also have let you shift the balance between equations and illustrative graphics in your video a bit; everywhere you used the illustrations they were well-done and informative and move of them would have been great to see. I do have one small nit, though: around 1:15, I’ve heard the derivative expressions there called x prime and y prime but x dash and y dash were entirely new to me and I think they might be confusing to students and other folks coming to the video. That all said, don’t sell yourself short: whether you think this was low-effort or not, you took the time to do it and that’s well worthy of celebration in its own right!