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how is it possible that a physics major or a biomedical engineering major can get a masters in electrical or computer engineering? wouldnt they be clueless joining the program because they dont have the requirements?
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Not really. BME -- lots of EE classes, controls, etc. Take a look at a BME lab sometime as well as the products coming out...many times, they do just as much EE work as electrical engineers.
Physics - there are many areas of EE that have a lot of overlap with pure physics such as solid state physics, etc etc etc. If a student went from majoring in solid state physics into, say, solid state devices, there wouldn't be too much of a lag.