That's a good point, too, I had a bunch of abstractions without applications in my head.

Its interestine, when you say abstractions. Could you explain what you mean by abstractions in this context and what do you mean by the underlying fundamentals.

One example would be resonant circuits. Ok great you can build resonant circuits, but what for? The fundamentals to understand frequency responses came later in signals and systems. The application came much later when I learned about electric motors, which basically behave like low pass filters (resonant circuits) which enables us to use PWM to generate sine shaped current curves by switching the input voltage on and off. The voltage signal is smoothed by the LPF circuit that is the motors windings.

I think it would have helped me if we talked about the motor or other examples first, and then did some math to show how the resonant behavior can be useful.

It’s crazy that VFDs work! You have to have a really good ground though, or you get arcing through the bearings.