Your ambition is admirable, but before you get too carried away, make sure your parents can afford the out of state tuition. Otherwise, none of this will help you. The most you can take out in loans for a 4 year degree is $27k. If you have to co-sign loans to afford tuition, then you can’t afford it. You don’t want a pile of debt dragging down your choices, especially when you decide to get married and start a family. You’ll be surprised how much overlap there is in technology. Most CS and a lot of EE graduates end up getting IT jobs and spend their entire career never looking at a math problem.