Udyr is one of the streongest junglers at the moment, you just have to ignore your teammates especially if you are in Bronze. Udyr is one of the few junglers that can easily carry a game, being tanky while dealing lots of damage. The problem is that you wont be able to have an impact on early game but if you follow my instuctions and just focus on jungling until 20 minutes you will be a late game beast. You should have 20 stacks on feral flare on minute 15 and round 40 on minute 20. That will mean that you will have a great impact on the game. You can even have the highest farm in the game, that is not uncommon. Udyr can easily farm camps. If you are sure and have a ward coverage you can try too drake as soon as you have completed wriggles lantern, spirit stone and boots of speed. DO NOT give any buffs to middle laner or bottom/top if possible. Do not chat-focus on your jungling- do not flame people losing their lanes. Try to get red buff first, your mana points will be enough to get wolf camp and blue buff as well. DO NOT COUNTERJUNGLE (except from enemy jungler being afk) TRY TO FARM JUNGLE AS MUCH AS POSSIBLE

I have already made some notes in rune selection but I will give you depper information. If you want to have the highest chance of dodging skillshots (vs ziggs, elise, cho gath) you cairtainly have to run Movement Speed quints, it could help you a lot. When facing evelyn/elise jungle pick the mr blues in order to have that slight advantage. TRY TO FARM JUNGLE AS MUCH AS POSSIBLE

Well, masteries are quite important for having that early game jungle farm. DO NOT run 9-21 you will be someway tanky but you will lose a lot of time and cosequently jungle farm. You can runinstead of http://leagueoflegends.wikia.com/wiki/Category:Mastery_icons?file=Executioner_mastery_s4.png but I dont approve it. It is actually based on the game. 3 points in movement speed in Utility may seem useless to you and u would rather put them in defense but I pointed out that 1.5 movement speed on udyr is 5 ms in the beggining. Quite good. In case you still disagree put them in http://leagueoflegends.wikia.com/wiki/Category:Mastery_icons?file=Veteran%2527s_Scars_mastery_s4.png and 1 point in http://leagueoflegends.wikia.com/wiki/Category:Mastery_icons?file=Hardiness_mastery_s4.png
You could ask why not in http://leagueoflegends.wikia.com/wiki/Category:Mastery_icons?file=Juggernaut_mastery_s4.png , well I guess even 2 armor will reduce a lot of damage in the jungle. TRY TO FARM JUNGLE AS MUCH AS POSSIBLE

Common items start for a jungler. DO NOT run red trinket in the beggining. You must control your jungle. Put the trinket in front of the wraits or in the gap between the river and the blue buff. Calculate the gold you can have in your first back. You will need 1150 G so care. In case of a first blood or jungle denial just pick the claws and a boot(if possible).The combinatin of claws and spirit stone will offer you enough health and mana recovery, dont worry about pots, just buy some wards. Alactrity enchant is very important for udyr. You need to have a lot of movement speed. The kind of boots youy will buy is relied on the game. Trinity force will offer you the jungle clear ability and the damage and movent speed potential. You can engage and disengage even faster. I would recommend tri force on udyr in every single game either toplane or jungle. Randuin's omen has become quite a strong and popular item so you should certainly buy it and use it. IF you go in and can tank them all buy the sunfire cape. Spirit visage can offer you the healing potential tho. Udyr does not need any kind of life steal. His second skill can heal him adequately. In case of a six item build DO NOT sell the feral flare. You should certainly buy frozen mallet though. And please use the free wards offered by wriggles lantern :). Do not forget to TRY TO FARM JUNGLE AS MUCH AS POSSIBLE

Get the phoenix at level one. The tiger stance will offer you the attack speed boost and the first hit poison damage as well, so it is quite important a skill even if you max it as your last skill maxed. Level up phoenix at level three but if needed and you think you can kill the wraith with your ult at one level do it.

Run flash and smite. You can pick ghost as well but in case you want to engage with the bear form you cant do it as fast as with the flash. I would suggest picking flash.

Pros

Udyr has the easiest jungle clear ability.
Udyr has the high mobillity with his bear stnace.
He can easily engage and disengage without even losing health.
He has high DPS