Transferring to Columbia

<p>I'm a freshman at University of Hawaii this year and was wondering what kind of chance I would have if i were to apply to Columbia as an applied mathematics major. The courses I am/will be taking this year are:</p>

<p>-Math 252A Calculus II Honors
-Math 253A Calculus III Honors
-Chem 181A General Chemistry Honors
-Physics 171: General Physics I
-Eng 200: Composition II
-Econ 300 Intermediate Macroeconomics
-Econ 301 Intermediate Microeconomics: Price Theory
-Econ 321 Introduction to Statistics
-Hist 151 World History (to 1500's)
-Japanese 202 </p>

<p>My high school gpa was 3.5/4.0
SAT I: 700 Math 630 CR 630 Writing
SAT II: 660 Math 670 Chem 650 Physics
*Not very impressive SAT scores for ivy applicants =(</p>

<p>-I also have a part time job as a tutor at a private tutoring establishment. I work 15 hours a week.
Assuming I can maintain a 4.0 GPA this year, will I be a competitive applicant given the competiveness of Columbia's applicant pool? Thanks. I appreciate any input.</p>