1. The Eye Spy
NOTE: By accepting Inquisitor Theramir's quest, Lieutenant Elwyn will cease to offer her quest.
Inquisitor Theramir is glad to have you on board and puts you to work right away. His first order of business is to get a preliminary view of the activity going on inside of the Lyceum walls. To do this you will have to use a device called an Eye Spy. The Eye Spy is a magical device that will transmit what they see back to Inquisitor Theramir.
He will mark 3 different locations on your map and you will need to go to each, and right click the Eye Spy, until all three places have been updated on your quest. Each mark will be in the first area of the lyceum. Lots of monsters, including Ice and Fire Elementals, and Fairies will be in your way (remember, each location is marked on your map). You can either fight your way through in order to get to each of the Eye Spy locations, or you can invis in (yes! Invis works).
No matter which way you do it, once you active the Eye Spy in all three locations, bring back the Eye Spy to Inquisitor Theramir for the turn-in, and the next quest.
2. Fire and Ice Elementals

The Elementals you saw while running through the Lyceum are being summoned by the Students that reside in there. Inquisitor Themanir would like to study them more closely. It will be up to you to bring back 5 Slushy Remains that drop off of the Conjured Iceshards and the Glacial Guardians, and 5 Ember Stack which drop off of Conjured Lavashards and Molten Guardians. He will also advise you to kill 8 Ice and 8 Fire Elementals as well for good measure.
All the elementals are going to be level 15 4dot mobs, and will take a while to kill each, unless you have a few adventurers to back you up. Each Slushy Remains, and Ember Stack has an equal chance to drop off of the mobs for each member of the group, and they are a fairly common drop. The entrance mobs to the Lyceum will update your quest, so you won't have to go far into the Lyceum at all in order to get your quest updates.
Once you have finished your task, head back to Inquisitor Themanir who will be able to finally tell you about his special plan!