That's very impressive tbh.
You are right about the math vs physics relationship. It's great to see the limits, definite integrals, surface integrals in action. I would like to get back to tutoring Physics C at some point but I just started a new career change so I'm busy studying all this new stuff I have to learn so it'll have to wait. I was not nearly as strong a student as you probably were so I lose it quickly unfortunately. My favorite though were the integrals with electrostatic potential (Gauss's Law,
manipulating charge into charge density * volume). I always had fun with those because you had to get creative at times. Same with series in Calc BC....the students not so much
