This dungeon comprises four boss fights:
Algeth'ar Academy is located in Thaldraszus at /way 58.28 42.35. There are various routes, so the bosses don't necessarily have to be taken in this order. You can see more information on WowHead here.
Arcane Orbs spawn all around the circle and must be soaked by different people. Don't let them hit Vexamus! It will gain 20 energy and damage your whole party. Each orb soaked does damage and puts a magic-dispellable stacking debuff Oversurge that makes you take 100% more damage per orb soaked. Alternatively, have someone with magic immunity run around and soak all the orbs!
Arcane Fissure is cast approximately every 40 seconds at 100 energy if you handled the Arcane Orbs correctly. Every orb that hits the boss will reduce the timer by 8 seconds! You will get knocked back, take damage, and spawn multiple swirls over a few seconds which will explode. Don't drop the swirls on your group!
Healers and DPS
Drop your Mana Bombs puddles slightly away from where you want to stand. Try to place them grouped closely if possible! They will disappear after 1 minute, about every 3rd wave.
Arcane Fissure does a burst of group damage, make sure everyone is topped off before it!
Important: The boss always casts in this order:
Barkbreaker - Tankbuster cast every 20-30 seconds, use a defensive!
Play Ball! activates at 75% and 45% health. Facing boss from where you come in, left side is wind and right side is fire. Pick up balls by running over them, then using the Extra Action Button to throw it once you're in the goal of your choice.
Always stay slightly spread out, but somewhat close to boss if possible.
Stop casting when Deafening Screech goes off! It will interrupt and school-lock you for 6 seconds!
Overpowering Gust is a frontal cone aimed at a random player. It will damage and knock everyone hit by it off the platform.
Tanks and Healers
Savage Peck tankbuster and DoT happens every ~15 seconds. It can be dodged and parried! Use defensives/externals as needed.
Strategies for Play Ball!
Pick one goal or the other, depending on your group comp. Do the other one second. Deal with mechanics as explained above.
Advanced Buff Stacking
This method is designed to take advantage of stacking powerful buff windows provided by the balls. DPS the boss for the first 50%. For the 75% Play Ball!, you'll want to hold onto the balls until you will die from the next Deafening Screech cast (when Sonic Vulnerability is stacked too high, or the boss is at about 47% health, then throw them into the wind goal. This activates the winds and the Gale Force buff orbs. Push the boss past 45%, pick up the new balls as well as your orb, then throw them into the fire goal when cooldowns are available. The boss will now take 75% bonus damage while you have 45% bonus haste. Pop all your cooldowns and nuke the boss!
Echo of Doragosa
Every single ability applies Overwhelming Power. Do not get hit unnecessarily or this fight will get exponentially harder.
Some abilities are unavoidable. You will eventually get stacks.
Stand relatively close to the boss if possible.
Every 4 stacks, you will drop a Arcane Rift where you are standing that remain for 2 minutes. Try to group them with previous ones.
Astral Breath is a frontal cone aimed at a random player. Sidestep it.
Run away immediately after every Power Vacuum. It pulls you on top of her, and then does an AoE.
Energy Bomb - Random target, move away from the person as anyone hit gets a stack.