Elemental: Fire, Water, Earth, Air, Ice, Lightning, Light (Healing as well), and Dark (Necromancy as well)
Summoning: Something simple, like summoning Crows or a boar.
Traps: IF you've played Dofus you would know what I imagine. Traps that can be set such as explosives like magic traps. Normal/Physical traps fit in here also.
Healing: Self-Explanatory should heal cuts, bruises, and headaches. Maybe a gash or two.
Passive/Support: Buffs, Debuffs, Mist to conceal allies and blind enemies, etcetera.

Can you do some simples for all these?

Limited I'll be in charge of.