this is my guide to AP Warwick
AP Warwick is one of the best mages in he game imo due to the sheer fact he can put out all of his AP in damage every 3.4 seconds and at next to no mana cost late game aswell as being very anti-tank
with AP Warwick you will find no one can counter you very effectively and thus it is very easy to play AP Warwick
Please rate,comment and check out my other builds

Pros
Grate all game damage
Massive heals
Anti tank
Anti DPS
Anti mage
Anti Carry

Cons
Vulnerable to "CC"
squishy mid to late game until you get your Rylai's crystal scepter
early game some of his damage comes from auto attacks so vulnerable to blinds

AP Quins for some nice early game damage
AP blues as above
Cooldown yellows for max cooldown reduction
Mana regen reds for more spamming

well with the new masteries i go down offence now for the AP and SP and i go down utility to get the mana regen and spell vamp

we start off with a doran's ring for some ap,health and mana regen
then we try rush a Morello's evil tomb getting boots of speed after the fiendish code then finish your Ionian boots of lucidity for max cooldown reduction for that nice 3.6 sec cooldown

my skill sequence should be very self explanatory but anyways
i max "Q" first because its your main damage and heal skill
i mas "E" second because it allows you to chase SO easily
maxing "W" last because it dosent really give anything to AP Warwick with its AS
getting a point in "R" whenever possible

i get exhaust because AP WW because he dosent really have much "CC" and nothing is worse then your enemy getting away with almost no health
i also take ignite for a bit of extra burst damage but this is just my preference feel free to take whatever you want here

when playing Ranked AP Warwick don't let on how much damage you can do otherwise they will focus you down like a 21/0 Caitlin; play very passively and just farm as much as possable until lvl 6 then get more offensive
also ask your jungler to give you Blue buff whenever possible because it allowes you to stay in team-fights where otherwise you could be "OOM"

in non ranked play you just want to hide in the brush and pop a "Q" on the squishiest champ whenever possible (last hitting whenever possible)