Nephilim88: Very useful, thank you :)
I have one question, though: I've already found three maps for the griffin school gear and two for the cat school gear. I've found all the griffin school equipment schemes and I crafted it.
Now I've bought the first map for the bear school gear and, after reading it, the quest didn't trigger. The other two quests triggered, but for those I always bought and read two maps. Do I have to buy and read another bear school gear map to trigger the quest?
If you find all the gear before triggering the quest you will not be able to trigger the quest at all.
This isn't a real problem as you get no reward at all for completing these quests, the quests are there simply to make finding the gear easier.
EDIT - Leaving previous as is but I misread what you posted, if you already found the Ursine gear then what I said still stands if you didn't find any yet and the quests aren't triggering it sounds like a bug.