I have a friend who got his undergraduate degree in Mechanical Engineering and now works as a iPad App developer. I had a boss that got his degree in Nuclear Engineering and went off to found his own online business (he now works as a developer at the company that bought his company). I've worked on code with team members that barely graduated from High School, and they were good coders. Don't about what degree you end up getting, if you want to program teach yourself. If your good at something people will begin to take notice, regardless of what your resume says.