Hello... this is my first Build, and more than likely I know, not a great idea for Udyr really >.> but it's something that has worked per se. Main objective: Making Udyr a AP toon. Or mixed I suppose. Since Udyr can be a Tank, Melee DPS, or a Jungler, he can do quite well in them roles, depending on the Items used and what Stances are used mainly. You don't have to use every exact thing or do every exact thing I do if you're turning him into a AP type, this is just an idea, that is all.
Will get back to Runes when I have a better idea of what to use, this is just a guess for now upon the Runes, if you have better Runes or a different idea than what is on this Build, then use your idea, I don't know how mine is entirely yet. >.>
Making Udyr mainly in the Defensive Mastery Tree suits well with him, since it will help tank out in the beginning at least, and blah blah blah... don't have to follow my exact Mastery's, just mine that I use. >.>
Alright... for the Items, sure some can figure it out, or more, and not calling anyone a imbecile... yet. <.< :P
First, you get the Boots of Speed and 3 Health Potions, so you can stay in the lane longer and accumulate more Gold, and to also get experience and help your lane partner. Use your Health Potions only when it is truly needed, like when you're close to death or something... make sure you fall back a little. You can also use them after you have pushed/killed the Champions in your lane after you have taken some damage, and by then, should be able to get the Turtle Stance to recover lost Health and Mana.
Next item you should get, is the Hextech Revolver, or at least, work on getting it. You get decent AP bonus and Spell Vamp, which works well with your Tiger Stances and Phoenix Stances.
Then, work on getting Rylai's Crystal Scepter. More Health so you can take getting a bit more damage, that extra AP boost, and the passive it gives is use full when you hit someone with your Tiger Stance's initial attack, the Phoenix Stance should slow foes down too on initial activation.
3rd main item you should get is Mercury's Treads, so you move a little faster and gives Magic Resist, along with Tenacity, which is useful against certain Debuffs, like snares, stun, slow, silence, etc... so those boots are quite useful.
Aim to get Nashor's Tooth, everything it gives will help out. Personally, I say get the Stinger for it first, and then get the Fiendish Cortex or you could save up for the whole thing.
Rabadon's Deathcap is a MUST.... it gives you 140 AP and then a 30% BONUS to your AP, so that shall make Phoenix Stance and Tiger Stance a lot better upon activation.
Last item is to get Lich Bane and that may take a bit, personally... grab Sheen for your 6th slot, and then save up for Lich Bane.
o.o That is my item talk there, and there are probably better ideas that can or would be used, but that's up to any readers of this Guide to figure out, that's the best part of gaming... figuring out what works best with certain toons.
As you see in the Skill Sequence bar thing, just do what it says or learn things your own way if you have a better AP idea for Udyr, but remember: Phoenix Stance gives you a bonus to your AP.
Okay... when using this build, this is a way to hunt down or take out other champs, and certain champs that are weaker to Mage type people, like Taric, this build should be useful.
Alright, first when you pounce into a team fight or whatever it is you are going to do, just try to take down one Champion at a time. Use the Bear Stance first to stun your foe, then switch to Phoenix Stance to increase your AD & AP, then go into Tiger Stance for that hard hit and increased AS. Doing all 3 Stances in a row will give you an extra 30% increase to your AS, so that's quite useful. Then just keep switching between Stances but REMEMBER... Bear Stances stun only has a short CD per se on the same target, so try to just switch back and forth with Phoenix Stance and Tiger Stance after 3 Stance combo, do it couple of times before going back into Bear Stance.
Also, use your Bear Stance to chase down fleeing Champions if they try running away, and hopefully you can get a quick stun or if you are able to use the Summoner Spell, use Exhaust, then Ignite so you can kill them quickly hopefully while they are running away. Do NOT try this if they have more than half Health unless you are sure you can kill them. Try to avoid the Turrets if possible too. You can take the Jungle-like paths and catch them between Turrets, and probably killing them in the process, plus you have more Health left over, unless you get ganked by other Champions.
There is nothing else more to discuss... and if you want to do a different or most of the other ideas, or confused by my Guide, just check out other peoples Guides.
AND... please save the negative criticism. If you don't like the Build, then just put a Vote on it, if you're going to try and make me stupid, then just save your words and time of writing it all out, I don't care. I've played Udyr how most play him, being a pure Tank in Health, and of course, more different items that are Defensive.
If you are lost by anything, leave a comment as well.