I'm also wondering about this.
Specifically, I have a BS with a double major in physics and mathematics, and I'm wondering about my prospects for graduate school in either materials or electrical engineering.
Though I believe cgoetz86 is asking about something a bit different.
cgoetz86, you might be interested in either Boston University's LEAP program, or taking online courses (through, for example, NCSU). You might also be interested in knowing about the "FE exam" which is a part of the process for becoming a Professional Engineer (though without the degree, I don't believe you can attain the full status; but my guess is that taking and passing the exam would show some commitment to a discipline in engineering).
As a disclaimer, these are just ideas from someone who has no experience with the ideas put forth.