I've recently started university and it already becomes obvious that a laptop computer would make my life much, much easier. Since my birthday is coming up, I decided to start looking. I'd like to know your guys' opinions on the matter.
I want a laptop for light work and calculations, not a heavy-duty gaming machine.
-Screen should be 15", no more. Otherwise, it won't fit in the attache case I carry my stuff in. I don't want it much smaller, either.
-CPU needs to be able to handle Mathematica (I'm gonna use it a lot), and that's about it.
-Memory doesn't really need to be anything stellar either, but I'd still like a hefty amount. If there's a game I'm going to play on it, it'll be KSP, and I mod heavily.
-I'd like to run Win 8.1 64bit, because I can have a license for free thanks to my university. But I can also have any other version I want, so if 8 doesn't work, it's not an issue.
-A built-in Wi-Fi receiver would be very useful.
-Battery should last for a few hours of non-intensive work (simple Mathematica operations).
-Price. Generally, I don't want anything too expensive. Polish Zloty isn't any less worthless now than it was when I was buying a phone. The cheaper, the better, but without compromising functionality. I'll probably be looking for used ones because I'm a cheapskate.

TL;DR, I want a cheap 15" laptop that wouldn't be a complete piece of junk. What can you guys recommend?