Not Updated For Current Season
This is a basic jungle Udyr, most of the spells past level 3 are subject to change based off of how much your opponents are targeting you. Also you can get bear stance at level 4 to get an easy gank if the opportunity is there. Mainly start at golems(smite), go to wolfs, go to Spirits(smite big one), then heal at the base and go to Blue Golem, at that point you may need to heal up at the Spirits or Golem camp and then you can get Red buff. Use Turtle Stance mostly and never Tiger Stance unless you have enough mana to go back into Turtle Stance.
With Lantern it is best to pop the ward at dragon, it allows you to protect your teammates as well as see if anyone tries to take it before you can. Later on it's good to pop it at baron.
Udyr is slightly squishy early to mid game so be careful not to get targets by everyone, he can take some hits but for the most part you want to move like your always running away and sprinting back in to stun them and then Tiger Stance to burst them down.