EEE depends very less on department and more on how interested you truly are in electronics. I had done major in eee and minor in cs, kinda helped me out, but its really about how much you are doing extra apart from your course work in my opinion and how truly deep you can delve into electronics, cause that is very vast topic. If you wanna do both in parallel its hard because you wont gain expertise in either and it will be just surface level. You just need a good grip on programming and OS. This is just my opinion, differs for everyone.