Alchemy
The art of making ordinary plants and meats into potions capable of bestowing magic effects. To use Alchemy, you need at least a mortar and pestle (there is one sitting on a crate during the tutorial sequence in the beginning of the game). Equip the mortar and pestle in your inventory to open the Alchemy window. To create potions, you need to find two different ingredients with the same effect. You can add up to four ingredients (for up to 3 different effects for a single potion, for Apprentice level and up). As your skill increases, ingredients have more potential effects that you may harness.
Hand To Hand
The ability to fight and kill foes with nothing but one's own hands. While not as powerful as using a weapon (and certainly not as good to block with), hand to hand combat is fast and doesn't use as much fatigue. Higher skill levels give you more power attacks which can be used to paralyze and disarm opponents.
Mysticism
This branch of magic can be used to detect living creatures through walls, trap souls within soul gems, and levitate items across the room with telekinesis.