>>405
Game programming, which might strike a chord with you. Any (good) graphics programming requires extensive linear algebra and matrices, obviously advanced geometry as well. I don't really need to go into game physics, weighting systems and admissible heuristics for various other things, eg: player matching.
Being that nearly every problem to do with computing involves maths, I guess we can stop feigning ignorance on that one at least and move on.
Engineering requires a variable amount of mathematics, particularly in calculus. Most engineering degrees pretty much require you to spend three years doing math as well, so you end up with a math degree of sorts anyway, admittedly that would only be useful for engineering.
Economics, which I'm not too familiar with requires a large amount of mathematics, particularly statistics and stochastic models. I don't think we will have any disagreement here either.
Medicine and mathematics similarly have very close ties. Being able to model things like bacteria growth is very important.
Science I don't really even need to point out, assuming you have ever read a single scientific paper in your life.
Essentially, ever important subject possible needs quite specialized or advanced mathematics, and more often than not specialist mathematicians will be needed.