http://talk.qa.collegeconfidential.com/college-admissions/2015601-what-us-universities-explicitly-state-that-calculus-is-required-or-expected-for-frosh-applicants.html (latest list in reply #6) lists the colleges that explicitly state that calculus in high school is required or expected. The list is quite small.
However, a student aiming for other more selective colleges who completes precalculus in 11th grade or earlier and has calculus available to him/her should take it in order to avoid standing out in a bad way against strong competition for admission.