I think, on some level at least, you can differentiate the types of chemistry you're identified by the type of mathematics they use. For example, physical chemistry, based a great deal on physics, will require more and more advanced calculus, the branch of mathematics invented to describe physics. Analytical chemistry requires statistics, more and more as more advanced topics are studied. As I recall (vaguely) multivariable algebra is used to describe thins like orbitals, and other advanced inorganic chemistry concepts. On the other hand, if I used anything other than basic arithmetic for organic chemistry, I don't remember it. On the other hand, organic was memorization intensive.