Introductory chemistry book with calculus prerequisite
Most introductory physical chemistry courses and books don't rely very heavily on prior chemistry knowledge, and there is quite some math to do there. I think you can start most subjects there independently from scratch (QM, thermodynamics, kinetics).

To better prepare us for quantum mechanics, my (chemistry) faculty offered a two-semester lecture for "freshmen" where the professor derived the Schroedinger equation with us from first principles. The lecture was basically self-contained, both mathematically (introducing analysis) and chemically (first-years do basic chemistry and qualitative inorganic analytics, there is hardly any overlap with QM).

With students that are better in math than we were, this could work very well, and faster. :-)

I'm afraid I have no english book for this. The regular physical chemistry books don't dive into the actual mathematical derivation so much. We used "Wedler, Lehrbuch der physikalische Chemie".

Btw.: Students that are good in math AND chemistry are very valuable. Be prepared for your colleagues from the chemistry department to be after them. ;-)