Faralda is an NPC in The Elder Scrolls V: Skyrim.

She is a Senior Wizard in the College of Winterhold

During the quest First Lessons, she gives you a test which you must pass in order to gain access to the college. The tests consist of a random spell that you must cast in front of her[1].

Faralda is also the master trainer in the school of Destruction. She will train you in the Destruction skill as well as sell you Destruction spells.

References

  1. http://www.rarityguide.com/articles/articles/1005/1/Skyrim-Walkthrough-College-of-Winterhold---First-Lessons/Page1.html