I should have loved electrical engineering

If you want to learn how to solve problems with hammers, engineering is what you want to do. If you want to know how the hammer works, do mathematics or physics. If you want to get paid, do software.

This is why I did an EE degree, didn't get paid much, went into software and used that to pay for a mathematics degree.

This is outdated advice. If you want to get paid, get a hammer.

And once you're actually using that hammer for real work, you'll learn how to use it to solve all sorts of problems, better than any school could teach you.

Here's a screw, here's a bit of wood. What tool do you use...? ;)