You know, whenever there's a magical school (cough, Harry Potter, cough), I think: these kids should be learning actual school things, not just magic.
And with this school, my thoughts are the reverse. Why the heck are a bunch of soldier kids who are definitely going to die before they even become adults learning things like mathematics? Maybe if it was things like officer training, I'd understand, but wouldn't their time be better spent doing drills, playing sports, maybe even just enjoying art and literature to make up for their short lives, instead of putting them through dull school things? (I note they were learning history, I think that's a good thing though).