The Elder Scrolls V: Skyrim Tips

Max Out Destruction Skill
When you join the Fighter's Guild, you will be told to go outside and duel with one of the members. When you are outside, switch over to destruction magic and use it against that person continually. He will keep telling you to use a sword, but you will gain experience by using destruction magic and he will not die. You can do this for as long as you want, this is an easy way to get more XP.