Survival: The Thieving Apprentice

So you turn in the first part of the quest at the tower (~24,38 Azshara, Kalimdor). Then you get the quest Professionally Good Looking, which you can just fly to three different NPCs, talk to them, and fight them (not hard, you can just hack and slash through). Once you get all the gear, fly back to the tower and hand it in. This will then give you the Order of Incantations quest, which you just click on the separate jewels in this order: PURPLE-WHITE-ORANGE-BLACK. Walk through the door way, you will be stunned, then just chase Archmage Kylem up the tower, killing as you go. At the top, he teleports away and you have to defeat Sanath Lim-yo (just DPS her down). Click the portal (I believe there is a cut scene, but mine auto-skipped or didn't play), then turn in the quest to Joanna, when she comes running up. Teleport back to Dalaran (using the hearthstone), and turn in the quest to Archmage Kalec. Accept the quest from Archmage Modera and step into the circle behind you and click the pop-up ability. Then go back to the order hall and click the new abilities!

I find the easiest way of getting to Azshara is going to Stormwind and then use portal to Mount Hyjal and then fly. Alternatively you can use portal to caverns of time but that will send you yo the southern part of Kalimdor where as the quest takes place north.

The tower is at 24,38 in Azshara behind Org. The code to the barrier is purple-white-orange-black, incorrect click and you get killed. Cost me 160g to figure it out, lol.