My last trainer had me doing 1 day a week of pull up burn outs and nothing else. Vary the grip each set and just do as many as you can each set until you can't lift yourself anymore.
It was nice because that gym had an assisted dip/pull up machine. So I saw the progress each week as you dropped the assist off. New gym is old skool so I'll walk in do like 4-5 sets and maybe 40-50 pull ups till I'm spent and leave. The young high school kids give me the weirdest look since I'm only there for 20 minutes. The have the concept that you must be at the gym for 1 hour and take 5 minutes between reps haha
I really liked that trainer. He was a no fuss type. Most things he had you super set. Most rests were never longer then a minute, usually less. He felt that you should typically never have to be in the gym longer then 30-45 minutes unless you're trying to be a body builder.
retired 06 E90 325i
New: 09 VW Platinum Grey Jetta Sportwagen 2.0T SEL w/DSG, panoramic sunroof and Ipod adapter