Virtually all schools require Calc 1. My Calc 1 class was pretty easy. Calc 2 is required by a few schools, Harvard being the only one I can think of. Calc 2 is a lot harder than Calc 1, but you learn so much more about Calc that I think people should take it, although many people thinks it really hard. Some schools require 8 credits of Math but let you take Stats instead of Calc 2, which is a lot easier but still something you should take.
I cant think of any schools that require calc based physics. There is a special program at Harvard (some joint program with MIT) that requires calc based physics and calc up to differential equations (calc 4 basically), but that is only a special program, you can take algebra based physics and calc 1 and 2 and still apply to Harvard.
JHU requires 8 credits of math but you can take stats instead of Calc 2, or at least thats the way it used to be.