This one's hard. You'd need to decide how specific you want your classes, and how popular each course would be. A popular course might have multiple copies of the same class, while an unpopular one might be practically deserted.
After that, you'll need to know the motives of each teacher. Some of them might just be teaching because it keeps them out of the fight, or because they find it easy and need the money.
If you have Barrier Magic, it might be divided into one or several classes. For example, classes about practical skills like manifestation, energy conservation, and decision making about when and where to deploy barriers.
If you have Summoning, it might focus on what creatures you summon, when to summon, or it may just be one class devoted to learning to summon your sole familiar and then doing it as the final lesson. Then you would need to learn how to use it, take care of it, and the vulnerabilities of a summoner and the best countermeasures.
If you have Automata, then you'd learn Theory and Practical skills. How to craft them, where to find the best materials, how to use them effectively, how to maintain them, and what to do if you're ever caught without the right type for the current situation.
I'd also assume there's classes about the Umbra, since you'd need to know your enemy to defeat them. History and other practical knowledge might be offered or even required to prevent your nitwit warriors from getting killed in dumb ways.
There should also be practical classes devoted purely to working with other people. Learning to protect a tinkerer is very different from protecting a summoner. This is something that should be separate from the five-man-band thing that the school sets up, as well. After all, you never know when you'll get separated from your team or forced to work with another team or even faction during an extended battle.
I can't help with names, but for extracurricular activities, there might be duels/Pokémon battles, barrier-based contests, casual monster hunts/sports, material gathering trips, and entertainment like cooking, sports, games, and other non-battle-based stress relief activities.
I kind of meant after they leave school, though. Like, what kind of job opportunities are they looking at? It'd be a waste if they just became janitors, but they might have the option of hunting monsters, guarding cities or merchants, scouting potential city locations, dedicated sports like tournaments, fighting criminals. Or just teaching the next generation.
Actually, if ALL magic and automata crafting is taught at this academy, they might also have civilian jobs that take advantage of the strengths of their skills, like construction with heavy lifting pokemon, automated public transport, barrier magic used to help with experimental actions that would usually be too dangerous.
Whatever jobs are available will determine the classes being taught, and help figure out character motives too.
Now I have to go fix things, see everybody in a few months.
