This skill sequence will allow you to come out of the jungle with a stun and a good dmg attack(phoenix). Also as you can see i go for 5 points in both tiger and phoenix. This will allow you to dual any one in the game. If your opponent has built armor then use tiger. Tiger is all magical. If they have MR use phoenix. Also lvl 5 bear and turtle do not offer significantly better outputs then there lvl 4 counterparts.

As you can see i go very deep into offense. This is because as Udyr you have the speed to control your jungle completely and then be able to apply invade on the enemy teams jungle. Sense you will be in there jungle you are going to want to be able to solo there jungler safely, going deep into offense will let you do this. So focus on stealing there buffs and wraith camps.

As jungler you need smite. Learn to last hit the big monsters with it. Flash is great for jumping on for ganks or to jump over walls. You can use ghost but i find flash a better tactical tool.

At start follow this guide to a t. But once you get giants belt you can start changing things up for what the enemy team is doing and what your team needs you to do. If they have heavy AD go with chain vest but if they are big AP then go for negatron. At that point you should grab frozen mallet because the slow is amazing, health is boss and it will help you all around. If you are getting fed i suggest thornmail because it is great. After they killed Starks I now feel the best option is bloodthirster.

If you the game goes super late the best build is Frozen mallet, Bloodthirster, Thornmail, Trinityforce, Madred's Bloodrazor and frozen heart.

The jungle is the most important part. For this build to be most effective you MUST go for the lvl 4 route. This means

Wraiths, Blue(smite), Dogs, Wraiths(they respawn as you get there), Red, Golem Camp(smite the big one) then gank!!!

After that you should just keep control of your jungle side. As udyr you should never have more then one camp up at a time. If you do it should only be because you are ganking or stealing there camps. Warding there jungle will be even more important then warding your own. After all you should have no camps up for them to take.

Use the right stance. If you see a skill shot or channeling skill coming at you or a team mate Turtle up and take the hit for your team. In team fights keep your softies alive and stun them so they cant do any thing. Phoenix will shred them with AOE as you take there faces off with Tiger.