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Sounds fascinating! Unlike many people, I've never actually changed my major since I entered college. This is not descriptive of my personality, though, because typically I start things and change my mind frequently throughout the project. I'm glad you enjoy math, because I do not. Fortunately, biology doesn't require too much math, although it some areas it does. It just depends on the field, I suppose.
I would say biology is very multi-purpose, perhaps even more than engineering, but I don't know. I could go a lot of different directions with it, and like you, this has me a bit worried!

Another thing is that my main college only offered "gen biology", which is kinda lame, but it's a really small university. However, I don't think I would have changed anyways, or if I did I would have gone "bio Chem" or "molecular biology" or some such.
My dream job is one that allows me to help keep the environment clean.
What about you?