Is EE the right major

Chris, You will be combining different areas in your interest. In Mexico there is a major that combines both electricity and mechanics, and would
assume that in the States there is also something similar. You will need knowledge in both areas since you have to understand how your controls will be affected by the physical forces acting on the vehicle.
If you can't find such a major you could always see if your university allows for combined degrees or a minor in mechanics. In general most courses during the first or even the second year are more or less common to both. So you could decide after taking the basic classes (chem, physics, etc). Talk with your counselor at your school.
As for the math, there are a bunch of computer programs that try to teach you math and calculus. Even though most concepts have simplifications for daily use, you will be learning from the basic equations (including differential equations). Furthermore you can use mathematical and simulation programs to evaluate your progress (guess this is a step above the calculator).
However, an important part of an engineer is to be able to understand the answer, not just get the right value. With calculators most people can't think beyond the value (saw that a lot of that during my college years), the advantage of slide rulers was that you had to think of the values and whether these made sense.

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