When the physics first started out, it was very much like Galileo demonstrating that all objects fall to the earth at the same speed, something quite experimental. The math used would probably be pretty simple arithmetic. Then Newton's principia and the invention of calculus made physics all the more "difficult". And years went by when Maxwell's PDEs unified the electric and magnetic forces. Then its followed by GR's use of Riemann geometry and string theory's very complex mathematics. Does it mean that the further we probe into nature, the more advanced our mathematical tools ought to be? And if it is so, and say, one day, these advances are essential to industry, what impact would it have on education? Would we have to start teaching calculus to 6-year olds or what?