Hey, I have a degree in physics and math. I have exactly one computer class on my college transcript - BASIC. I've been a professional programmer for 33 years or so. After you get your first job, nobody cares what your degree was in.
Wow, that is comforting. I will simply learn these skills and demonstrate them! Thank you.
Well... that first job can be hard without the magic degree. (I essentially got mine by the grace of God.) You might do better to get a CIS job, and while in that job, take on more and more CS-like responsibility. Then, when interviewing for your next job, you can say "not only can I do that, I have been doing that".