[@Eragon]

Aircraft Maintenance and Piloting courses need a professor.
Mechanized Cavalry (early period tank command and maintenance) does as well.
Vision classes need a professor (oracle/seer type power perhaps?).
Compromise classes (generalized magic/reality-manipulation) need a professor.

Those are the needed classes.

It might also be nice to include a few other courses as well - combat training, military strategy, fitness and weight training, etc.