You will come across Hilbert transforms in a signals and systems or DSP course, which you would take in an EE/ME undergrad. A lot of the work in this space was

You will come across Hilbert transforms in a signals and systems or DSP course, which you would take in an EE/ME undergrad. A lot of the work in this space was done by mathematicians which I think contributes to the abstraction level at which it's taught. It can be useful and is definitely real.