Continuity mistake: When the lab is set on fire and the Hulk jumps into the room to save Elana, the Hulk that jumps through is actually a stunt double. Noted because the Hulk that jumps in isn't that tall.
Continuity mistake: When David gets out of his car and looks at the flat tire, the hubcap is gone. When he goes to the front and jacks the car up, he uses the jack handle to remove the hubcap that wasn't there before.
Chosen answer: Bruce has always been the character's middle name. In the comics he is Robert Bruce Banner, here he is David Bruce Banner. Apparently the executives behind the show preferred the name David.