Can I still craft my own spells?
In Oblivion, you could craft your own skills at the Arcane University. Can this be done in Skyrim?
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
Nope. You're stuck using the pre-made spells in Skyrim.
Luckily, the spells in Skyrim are more diverse than they ever were in Morrowind or Oblivion, so it seems like a fair trade.