You forgot one part.
Quote (me)
For the six non-barbarian classes, there are five skills for each level. Barbarians have, starting from level 1, 6/7/4/4/4/5 skills for each level.
Tier 1
Bash, Sword Mastery, Axe Mastery, Mace Mastery, Howl
Tier 2
Find Potion, Leap, Double Swing, Pole Arm Mastery, Throwing Mastery
Tier 3
Spear Mastery, Taunt, Shout, Stun, Double Throw
Tier 4
Increased Stamina, Find Item, Leap Attack, Concentrate, Iron Skin
Tier 5
Battle Cry, Frenzy, Increased Speed, Battle Orders, Grim Ward
Tier 6
Whirlwind, Berserk, Natural Resistance, War Cry, Battle Command