I am looking for laptop for my undergraduate studies in Engineering. Can anyone recommend some models for me?

1. Preferred Brand - Anything will do, Preferred ASUS/Toshiba
2. Budget - Around 2000-5000
3. Usage - Assignment for degree in Engineering, and play some resource-eating games like DOTA
4. Preferred
a) 15 inch but don't mind smaller
b) Not too heavy
c) At least 4hr battery life
d) not getting overheated easily
e) i5/i7 Processor
f) At least 8GB RAM
g) Have decent number of necessary ports
h) Decent graphics card

Hopefully I can get suggestions because I don't want to change my laptop too often. My current laptop is already 5 years old. Thanks.