What's a good laptop for engineering student?

Ok so I was accepted into the state of Georgia's Governor's Honors Program this summer. I am going for Mathematics. Just last week my old laptop died. Me and my dad decided I would need a new one for the program and possibly college (I'm a junior). I plan to major in an engineering field although as of now I am undeclared. As I did some research I came across a couple such as the HP Envy 15, Toshiba Lenova, Macbook Pro, and a Dell laptop of which I lost the source and cannot remember the name. I was wondering if anyone could give me some ideas.
Some of the aspects I am looking for are:
lightweight (to easily carry around all day)
Not too massive
Long battery life
expected to last and still be running well for about 5 years (to make it through college)

With all this in mind I have little knowledge of the hardware recommendations of an engineering laptop so I'm not sure what to look for in that regard.

Any help would be greatly appreciated.

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