Find a piece of paper in the dungeons until you have 1 secret class for of each teacher, this will unlock a spell in each of the four magic class. Cast spells in there column of magic school to unlock better spells in those magic types.
Cast Suppression to unlock Confusion then on to Charm, then Shrink then Persuade
Cast Speed buff to unlock Stone skin which then leads to Flirt and then into Power Buff
Cast Boost to unlock Grapple then Transform and then Trip
and finally Harm into Torment into Ignite.