You need all of that math to understand the topics, then you can apply them to real life. FWIW you can probably be a decent design engineer with an industrial engineering degree plus some thermo, circuits, dynamics and a lil CS... I see more than a few jobs open up that accept both degrees.
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.
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.