Depends. While I haven't studied mechanical engineering myself, a lot of my friends who have, seem to have spent a lot of their time learning to use steam tables and working with lathes (something I personally would love to do, btw) instead of racking their brains to solve problems in physics/math.

Personally, I think everyone should learn at least the basics of modern Algebra (not high school stuff, but: groups, semigroups etc.), Topology etc. (Note that I did not get an education in either Physics or Math, but am jealous of those who did)