Blue Golem(smite) then wolves then wight camp then wraiths then small golems then Red lizard(smite) then countergank/gank bot/top then back then counterjungle/gank. When there isnt a lane open to ganking farm farm farm as Olaf is one of the best jungle farmers in the game.

PROS
Amazing clear time/farming jungle capability
Good counterjungler
Good health sustain
Awesome fun to use ultimate
Good skirmishes

CONS
Doesn't mesh with team well
Doesn't have that good dmg later on
Not very good at ganks
TERRIBLE mana sustain early on

When all lanes are pushed and you know the bush in the top/bot lane closest to tower isnt warded go to into it without being seen to unleash a surprise gank on them fully utilizing Olaf's Q.

Olaf gets a huge power spike when he is low on hp so understand when you can kill the enemy even if they have much higher hp.

Olaf's E does quite a bit of dmg to you so use it wisely. Also, it's important to note that if his E kills its target the hp cost is refunded.