At my school, you are either required to take Calc I & II (sciences), or Finite Math and "Survey of Calculus" (business/liberal arts majors)
I don't know if this is helpful, but here is this course description for the Finite Math course:
"Linear equations, matrices, linear programming, sets and counting, probability and statistics."
So, at least to me, it sounds like a mix between linear algebra and statistics.
So IMO the fact that it comes before a survey of Calc. course and taking into account the course description makes me think that Finite Mathmatics =/= calculus.
Granted, this is just at my school (my school does a lot of weird things). It may be different at yours.