So, for a reasonably detailed version of my magic system, go here. Because I'm pretty sure no-one went there, it says,
Brief Overview of Magic
These powers manifest themselves any time from birth to the end of puberty. These magical powers fall under seven broad categories. Air, water, earth, plasma (fire/lightning), plants, light, and animals. Animal magic is tricky, because living things resist magic. But, many animal mages can influence animals, and some can control dead animals (this is called necromancy and is a big societal no-no.) The strength and scope of magic varies from individual to individual. But, these are the most common in order. Earth, water, air, plants, animals, plasma, and light.
These magical capabilities are like the show Avatar, the Last Airbender, in how controlling magic works. However, in my book magic is much less powerful. For instance, an earth Mage may only be able to influence as much dirt as they could lift, and lifting this dirt would take about as much energy as doing it by hand, except you don't have to touch it, and it could be a perfect brick shape. No force is exerted in separating the dirt or material from other similar material attached to it. So if you were to pull this rock in two, that would take little effort, other than the force of pushing the pieces apart.
Magic is like a muscle that is really hard to develop.
The level of magic described above is only about 75% of magic users. Everyone else is more powerful.The strongest people can do things like shoot lasers, uproot trees, be human flame throwers, make zombie hordes, create small tornadoes, cause rovers to overflow or to break dams, or cause small earthquakes. This is about 7% of the population. Everyone else is in between.
My Question
So, in my world, depending on where you live, you attend school for about eight years. You graduate at 12-16 years old. Most people then proceed to get an apprenticeship or learn a trade. The time period is not specified, but it is probably comparable to the 18th century. However, any time between 1750-1875 would probably be fine.
Given the specified time period, and that a lot of society is fueled by magic, what subjects would be taught in school? Assume that a lot more people have access to these schools, and that magic is taught a lot more after graduation.