Welcome to my Urgot Build

Skills

Passive: Zaun-Touched Bolt Augmenter Urgot's attacks reduce the damage that his target deals. This is a great yet unnoticed passive. It helps Urgot fulfill his duty as an anti-carry by weakening their auto attackers and it helps early game to dominate 1v1s.
Q Ability: Acid Hunter Urgot fires a skill-shot missile that deals physical damage and applies Urgot's passive. Can lock on to targets afflicted with Noxian Corrosive Charge. This is Urgot's main skill and should be maxed out first. It is one of the best harassment abilities in the game due to its damage and range early game.
W Ability: Terror Capacitor Urgot creates a sheild around him for 7 seconds that blocks damage and gives acid hunter a slowing effect. This versatile shield is great for helping you tower dive, chasing, and getting away.
E Ability: Noxian Corrosive Charge Urgot fires an AoE charge that deals damage over time, reduces enemy armor, and allows him to lock-on with Acid Hunter. I get this ability first because I find it deals more damage than Acid Hunter at level 1. Getting good at hitting with NCC decides your late game. If you can hit with it you will be able to harass your enemies through their minions and at a long range.
Ultimate: Hyper-Kinetic Position Reverse Urgot stuns a target for 1 second and switches position with his target. He also gains armor and magic resistance and the target is slowed after the switch. This is a great ability for tower diving or preventing tower dives. Its also great for disabling champions like Galio and Nunu & Willump when they use their ultimate. Main targets for hyper-kinetic position reverse HKPR are squishy carries and casters who stand in the back and beat down on your team from afar. It can also be used on occasion to escape fights. Make sure to not use it foolishly unless you have Flash available.

Runes and Masteries

greater mark of desolationx9 As for all physical damage champions armor penetration is very important.
x9 Urgot requires good cdr to spam Acid Hunter in the time span of Noxian Corrosive Charge.
x9 Urgot uses abilities fast and need mana. Your masteries will help but with seals you will never run out of mana.
greater quintessence of desolationx3 Again armor penetration is very helpful for Urgot.

My masteries are 9/0/21
Some people argue that Urgot is a tank and should have defense masteries but I prefer utility and offense for cdr, mana regen, and to help my summoner spells.

Item Build

Core Build

I always start out with a Meki Pendant and build it into a Tear on my first trip back to later be built into a Manamune. After the Tear buy Boots of Speed.

After Boots of Speed I go for a damage item. This item usually depends on how much money I have on my second trip back or how well I'm doing. I prefer to buy a Brutalizer for the damage, armor pen, and cdr(cooldown reduction) and to later build into a Youmuu's, but if I have enough money I buy a Last Whisper or if I'm dominating my lane I buy a SotO. Buying the SotO is not recommended unless you have armor penetration runes.

For boots either get Swiftness for more speed or Mercs if the enemy team has multiple CC effects or is a high caster team. If you like Boots of Mobility be my guest but I prefer Swiftness.

After boots build your Tear into a Manamune. Then buy a Glacial Shroud for cdr, mana, and armor. If you have enough gold, buy a BF Sword before the Glacial Shroud. Either build your BF Sword into a Bloodthirster or a Black Cleaver then build the Glacial Shroud into a Frozen Heart. If you got a Brutalizer go ahead and build it into a Youmuu's.

For your 6th item you have a few choices. A Last Whisper will help with armor pen while giving you some more damage, a second BF Sword helps further your damage output, but I prefer a defensive item last. Guardian Angel and Aegis of the Legion are good choices to compliment your ultimate late game. Banshee's Veil helps against heavy caster teams and gives some extra mana to build your Manamune. Randuin's Omen and Sunfire Cape are good choices if the enemy team is heavy physically.

Gameplay

Laning Phase
Urgot is a GREAT early game champion and can go 1v1, 2v2, or 2v1. I always start with Noxian Corrosive Charge as my first ability because you can hit multiple champions lowering their armor while dealing good damage. Once you hit an enemy champion with Noxian Corrosive Charge, nothing is stopping you from landing 2-3 Acid Hunters on them. The range is amazing and can go through minions as long as you are locked-on. Remember though you can still hit with Acid Hunter without being locked-on. The key to laning with Urgot is constant harassment. Terror Capacitor is good for its slowing ability and good for surviving a turret shot.

Ganking
Urgot excels at ganking due to hyper-kinetic position reverse his ultimate. Separating the enemy champions confuses them and sets their champion in the middle of your friendlies. With Noxian Corrosive Charge and Acid Hunter, your enemies will not get away. Make sure to use Terror Capacitor to add the slowing effect with Acid Hunter.

NOT COMPLETE