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Well, I'm biased because my career in aerospace resulted from a BSEE from the Univ. of Missouri. Electronics play a larger role in each generation of aircraft. In 1985 the Boeing 767 and 757 aircraft we put into service. The electronics on these aircraft allowed hands-off flight from being aligned on the runway for takeoff to wheels down at the destination. Those aircraft had 360 microprocessors. Think how much progress we have made in 30 years since. I predict that the technology similar to what is being used in drones will be enhanced to control commercial aircraft. This would allow the pilots in a remote location ON THE GROUND to control the aircraft. My pilot friends hate this idea but it has large business benefits.
A degree that trains you to design microprocessor and I/O circuitry boards or design flight safety software would open numerous opportunities in the aerospace fields. During my career, I designed a radio altimeter that measured the distance to the ground with three inch resolution, Air data computers that report things like altitude and airspeed to cockpit and aircraft systems, FADECs (Full authority Digital Engine Control) to mange the operation of jet engines, and slat/flap/HStab control systems that manage the moveable surfaces of the wing that allow an aircraft to take off and land at safe speeds.
The one thing that all these systems had in common was that they were flight critical. That means if they malfunction they might cause the aircraft to crash. The electronics and software had to anticipate all possible failure modes and accommodate them in a way that did not prevent a safe landing. The FAA has rigorous requirements on how these systems are designed to meet safety goals.
I hope that this response will be helpful in your career. I would be happy to respond to your questions on this subject.
Aerospace or Aero. Aerospace companies also hire Mechanical, Electrical, Computer and Software Engineers, and others. Take a look at some companies' websites to see what skills they hire.