I don't know about specific programs... they should be on your colleges website somewhere. These partnerships can be in obscure corners of websites so look carefully.
See if its possible to enroll in a class or two at your local state school, particularly in math/physics. I went the community college route and was able to start calculus at a state college while finishing up my associates through some type of partnership they had. The cost of the class was...
You've got to take advantage of it and really get to know/impress a couple professors. I did 3 years at community college, transferred to completely unknown cheap state school and ended up in a top 20 grad program.
I did the two sleep period thing for awhile as an undergrad. It has come to bite me in the butt in grad school though. There aren't enough hours in the day to go through the cycle of going home, sleeping and waking up twice.
As a pure math major you'll be focusing on abstract mathematics that isn't done with applications in mind. Your classes will be entirely proof based. Typical courses for a pure mathematician would be real analysis, abstract algebra, topology, number theory and the like. It gets very hard to wrap...
I'm currently in my first year of a PhD program in the U.S. and most of my fellow PhD students are still undecided as to whether or not they intend to leave after they earn their masters. If you think you may at any point want a PhD, apply to the PhD programs for the full funding and then decide...
If you enjoy and excel in calculus/linear algebra, you could pursue statistics. Statistics is heavily computational these days, and your programming skills would be incredibly useful. The minimum requirements for most grad programs is just calc 1-3 and linear algebra. Of course coursework in...
I was in the same position as you, except I was home schooled. At 18 I went to my local community college and signed up for Introductory Algebra--two full semesters below college algebra. I'm currently 22 and have taken a math course (or three) every semester I've been in school. Next spring...