Thanks. When you say "learning tools for analyzing designs" -- do you mean calculus, differential equations, other math and such? Or do you mean "XYZ Software Tool for Fluid Mechanics" etc?
I think you can really pick up Fluids, vibrations, and advanced mechanics on your own with that background, if you end up needing it. But to the larger question, yeah you need calc 1-3, ODEs, and actually a good bit linear algebra to be able to understand and apply 300-level engineering and beyond.