Even though Frozen has been over played, over hyped, over sung, over rated, and just freakin' annoying at this point (in my opinion) the level of detail that Disney and Pixar alike put into their 3D movies is incredible. Just take a look at this video:
Now, I have no idea what that stuff was in the beginning other than "velocity" and "particle", but clearly it uses very high level physics and therefore calculus algorithms. It's crazy to think that back when The Incredibles came out, just animating people's skin and hair realistically was impressive, and now animators are focused on entire environments and tiny particles being realistic.
The applications for physics and math are endless.