Which areas of chemistry require calculus?
For first year college chemistry the only calculus, if there is any at a particular school, would be reaction rate equations.

$\mathrm{d}[A] = -k[A]\mathrm{d}t$ ;  $\mathrm{d}[A] =-k[A^2]\mathrm{d}t$ for example

Then second year you take organic chemistry; no calculus.

In the third year, thermodynamics has some multivariable calculus (partial derivatives) and quantum mechanics has partial differential equations.