Columbia with low first semester GPA?

<p>My first semester of high school my gpa was a 2.7. I know thats horrible, I had a really hard time adjusting to high school. I go to a rigorous private day school in Atlanta, GA if that matters. Ever since I've maintained a 4.0 GPA, and semi-strong extracurriculars (2 season athlete, various clubs, ex.). My current GPA is a 3.74 UW but I plan to bring it up to a 3.85. I'm currently a junior and I was wondering if I do really well on my SATs if I would have a chance at columbia, or and Ivy League schools for that matter? Thanks so much for your responses.</p>