Ha, yeah... If GIS is a small field, FM is just a shade tinier.
I wanted to make the leap to Analytics. Even with a degree geared toward it, I couldn't get a second look without actual experience in SQL or R, etc.
I ended up getting a break through a contact and becoming a system analyst and I'll get to do a bit of analysis later on the data within the system. Still in FM, but, at least I'm being exposed to SQL and real projections.
It's tough making the switch to a different field, everyone expects you to take entry level stuff to earn your chops, like your experience doesn't have value.
My counselor at school advised me to switch from a chronological resume to a functional resume. Rather than listing my main duties, I could call out the more transferable stuff.
I never took calculus or differential equations, so, I can't comment whether they'd be useful.