Computer Science Laptop

Helllo guys! Two questions.

1. I'm a senior in High School, and I'll be graduating in May. As I go off to college, I'm in need of a laptop. Now, I want a gaming laptop, but also one I can work on for school. I will be taking Computer Science courses at Ivy Tech in Indianapolis. I was wondering if I could get several recommendations for good gaming laptops. I do have a few requirements. I'm on a budget of about $1,200 give or take a thousand. I want something that packs enough punch to run modern day releases like Dying Light, Evolve, Call of Duty, Battlefield, ETC. I also want something that is light weight, compact, and portable. Something around 15 inch screen would be nice. Lastly, I want something that is going to last me a decent amount of time. I consider anything over five years to be a good lasting point for a gaming laptop. I was looking at a Lenovo Y50-70 at Best Buy, and it seemed nice, but it was very thing (which is what I want) but it brought the question to my mind of overheating. Will something that compact overheat easily, ultimately cutting the lifespan by quite a bit? Any recommendations for a good laptop would be great! I want several options.

2. If I decide I'd rather just cut the cost and get a dedicated desktop to game on, would any laptop do fine for a Computer Science course? Do I really need a powerful laptop for Comp Sci? I could probably find a cheapish laptop with a Core-i5 but with integrated graphics. Would that be fine? Any recommendations on generally good laptops to work on for school and coding?

Thanks for any help! If you have more questions about what I want, or want something clarified, please reply here or send me a private message. Thanks!