Would it be cruel to suggest that you might want to advance a bit more before weighng in ?
I'd say that semiconductor physics, real math, control systems, real mixed signal and a couple of others should get a go ... but my eldest child didn't get much past this, so maybe the state of the art today?
Again- I mean no cruelty in my comments, but seems as if modern curricula are not teaching a person what a person needs to know to go into any related industry job...
(And I could be wrong - as I often am)