I am about to go to school for computer science. I haven't heard of a degree in "computing", not to say it doesn't exist. Most often game developers get a computer science degree. Here is something I found online on a forum:
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It does not really matter whether you choose CS or soft. eng. What matters is what courses you that are useful for game design. How CS/Soft eng. programs are administered and managed varies by the size of a college. typically for game programming, you want to:
1. have experience in openGL/Directx. Most worthwhile Cs degree offering colleges have a computer graphics course that will expose you to the basics of computer graphics, the graphics pipeline, and one of these 2 APIs.
2. OOP principles, which in most medium size colleges is accessible to both soft eng. and CS students.
3. Internship experience, as it helps with post graduation employment prospects
4. A couple of classical physics courses especially in mechanics, beyond what the degree requirements prescribe
5. some understanding of computer and graphics hardware architecture, which is offered in a "computer architecture" course in most worthwhile universities
6. an interest in game dev. in general, being up to date on the latest tool kits, engines, advancements in game design, etc.......
7. software engineering courses, it helps to have a couple of these. most game dev teams employ one or more soft eng principles like SCRUM, agile dev, etc......
These needs can be met a a decent mid size university in the USA. Do not obsess over which degree to choose, CS vs soft eng. You can be in either program and meet the above requirements. Most employers are no picky about which one of these degrees you possess, but mainly the requirements of the work (which usually have groundings in the above 7 tips), of course, having past internship experience is a huge plus.