Brings back memories of my first mountaineering trip on Mt. Lefroy. I was lucky enough to go with 2 experienced climbers including Dave Stephens, a popular guy around here.
I ended up impaling his leg with my crampons when I slid near the summit but we still remained friends afterwards. Haha!
If you're getting into alpine rock, you should try the Eisenhower Tower. Not too difficult and the position on the rock is incredible!