Agreed on the Laplace transforms. They instantly turn linear differential equations into basic high school algebra problems. But they don't work for nonlinear problems.

I remember when I first learned calculus and holy shit that was cool already. Then it kept getting better and better as I learned differential equations, linear algebra, etc.

To me EE = heavy math and that’s what makes it so fun.

I actually do software now but it’s completely different. There’s like no math in most applications of it. Putting something together with a Rasp Pi or Arduino feels like 98% software and 2% EE.