So I'm a senior mathematics major this fall and I have only taken three CS classes (Java I, Java II, and C++). This summer, I am participating in a mathematics REU (Research Experience for Undergraduates), and I program in C++ about 8 hours a day...and I find that I absolutely love it. I love using programming to solve math problems in my research. I think I want to pursue a career in programming.

I have a few options

1. Stay at my university an extra 1-1.5 years (beyond the 4) and do a double major in Math/CS. This will put me in up to around 7-10k in debt (currently I have no debt and am scheduled to graduate debt free). Then apply to a masters in CS.

2. Apply directly to a masters in CS from a math undergraduate degree. I don't like this idea because I likely won't get into a good program or funded with such little background.

3. Go to graduate school, funded, in applied mathematics and try to further my knowledge in computer science while there. Then apply to a masters in CS.

I'm not sure if 1 or 3 would be better.

My end goal would be to go to a top 20-30 CS graduate program and to get a cool, good job.

What would you recommend?