Questions about types of engineering.?

I'm soon going to be attending the University of Michigan. I don't know what type of engineering to major in. I've narrowed my search down to Electrical/Computer, Chemical, Mechanical, and Nuclear. I don't exactly know what i'm looking for. I like math such as differential equations and calculus 3. Theoretical maths such as discrete or linear algebra are much more boring to me. Also, i've taken chemistry and physics before and i seem to like physics a little better. So, i would just like some insight from a person who has actually taken some engineering cles to answer my questions Like what do you do specifically in those fields? A few example problems would maybe help too. Thank you for your answers.