It's not a good idea to major in computer science if you know you want to work in the game field. Right now you could probably get away with doing that, but within a few years companies will be looking specifically for game degrees, and having only a programming / computer science degree (as opposed to a game design / game programming degree) will hurt your chances at getting a job in game development. You'll pretty much be stuck with a non–game-related computer job if you get a genral computer science degree.
Getting into the industry has little to do with the degree itself. What matters is experience and networking. It takes a very lucky and gifted individual to go directly from college to the game industry. The smart thing to do is expect working as a programmer for a non-gaming company for a few years first. A computer science degree is fine.
There are some gaming concepts you miss out on when getting a computer science degree, but nothing you can't experiment with on your own. I have a Game & Simulation Programming Degree from DeVry University, and generally would not recommend a similar degree unless you have a few years experience prior to entering such a degree.
"I want to make games" is a very bad mindset.