[ErroneousBosh]

I spend a lot of time working with real-world electronics, where a good mathematical background is important to calculate things like component values for a desired behaviour.

But far better is developing a sense of what's "about right".

I have taught people who studied Electronic Engineering "properly" who calculate that the resistors need to be 20.7kΩ and 21.3kΩ for a given circuit and then will go mad scouring Farnell, Mouser et al for those values.

You or I would say "That needs to be a 22kΩ resistor and an 18kΩ resistor in series with a 4.7kΩ pot, because that is going to need adjusted on test because of the tolerances in everything else", wouldn't we?