Honestly, the best way to increase your DPS is trial and error, as well reading through stickies on the official forums (Link: http://us.battle.net/wow/en/forum/1012664/ ). The stickies contain a huge amount of information aimed to be helpful and non-elitist.
As for trial and error, I would look for a simple DPS meter add-on from a reputable site and play around with your rotations.
You also could try asking people in game, or on the forums, but you run the risk of getting trashed for not knowing what you're doing by tools who need to step away from their screens for a few days.
Just don't get discouraged, and keep trying. You'll eventually find a sweet spot for rotation, and talent builds.