What programming have you done so far? Have you worked on any open-source projects? Run your own web site?
I know a lot of people with math degrees working in software engineering or site reliability in Silicon Valley. So it's definitely possible ... but you have to have the skills.
So tell me about your skills. :)
In school, some of my math courses have been programming intensive, (bioinformatics and statistics, all sorts of numerical methods and optimization courses). I've taken most of the CS curriculum as well, but scheduling the remaining class (a senior project) for a double major would take an extra year.
On my own, I've written a couple android apps, mostly video games. But that's about it. No websites and no open-source work.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.