How can a college student be whole-brained in a system that wants you to be either right- or left-brained [long details]?

I’m in college and I’m stressed out. Not because of the work but because of the future. Sure I enjoy what I’m studying, but I want to learn more.
I am currently in an industrial design program. I love design, the whole holistic viewpoint and the care for the user experience, but I don’t have the opportunity to study my other interests in more detail. I’m starting to think I have to pick either an artsy life or become some sort of scientific specialist. It really resonated with me when James Dyson expressed similar ideas in his autobiography.

To give more context, I just finished 1 year of university in Canada. The school doesn’t have the best overall reputation but there aren’t many options for a design program up here in Canada. It was a good year but I got depressed when I wasn’t aloud to take more difficult courses. I also worried that I would mainly become a stylist that just makes things pretty. I noticed that some product designers who I admire had experience/education in some other field in addition to design (e.g. James Dyson with engineering and Buckminster Fuller, Eric Migicovsky (founder of Pebble) with product design and systems design engineering, etc.) I guess that’s why I applied to and have the opportunity to attend a top school in the fall for computer science with connections to Silicon Valley. Although it’s a great school, I love technology, and I would have more opportunities to study my other interests I’m starting to have second thoughts about transferring.

I think I’m having conflicting thoughts between the whole idea of “If shoe shining is your passion, be the best shoe shiner there is” and wanting to have more than a general outer-surface-type knowledge of things. I know I’m more passionate and have a more intrinsic motivation to be a designer but I want to be more than a “jack of all trades.” I guess part of me wants to learn it all, I want to study the the liberal arts, the laws of the universe, computer science but how much can I really self-teach myself??

Sorry for the long details and thanks for reading. I find it funny that I now remember asking fluther how I could be an industrial designer when I was in high school on my old account.