Can you expand on how analog electronics benefits in particular from a formal EE education? I build analog circuits (amplifiers, filters, power supplies mostly) very frequently in my job as a physicist. We have to care about noise so I've picked up a knowledge of how to deal with it in analog circuits. Is there some other area of analog electronics that "hackers" like me might not get exposed to, compared to an EE undergrad? I'm thinking of moving into EE and would like to work out the gaps in my knowledge. I also ask because I can see obvious reasons why your other example - RF electronics - would benefit from formal training but none for analog electronics.