Calculus and physical chemistry
Calculus is the basis of physical chemistry. Have a look to Maxwell relations,Clapeyron equation. How stated Uncle Al you should take a book of physical chemistry and look into, furthermore some books (see Atkins) have an appendix showing you the mathematical skills required to understand the content of the book. Here what you should know only for thermodynamics in my opinion:


algebra 
logarithms
vectors
calculus
Partial derivative
differential equations


If you go deep into the atoms more mathematical skills are required.