Transfer to a bigger/better named school

<p>I'm a sophomore at a small LAC in pa. I'm a biology major doing premed and I don't like the atmosphere at my school. I want to transfer for a bigger/better school in a city.
My first year I got a 3.5, however, this semester I slacked off a bit and now I'm looking at a 3.35 or so. In the spring I want to apply to NYU, possibly Columbia or Upenn, and Rutgers. Will Columbia even consider me if I apply next semester? any advice on that would be great.</p>