My husband is a chemical engineer. He has worked for an environmental engineering consulting firm, a different consulting firm (doing more practical stuff than the first company), and may go to work for a national lab in the near future.
He uses math in his work on a daily basis. The first job was spent basically predicting whether or not things like acid rain or mercury would adversely affect parts of the country in which utilities owned the land. Lots of charts, working with clients, writing proposals, finding potential clients, etc. It was a great job because you were always working with very bright people -- many who didn't have awesome social skills, they were purely appreciated for their brains. The work dwindled down to nothing in later years, though. Now he's doing the same kind of work, but it's more reality based type of work.
With both jobs he has spent the lion's share of the time working from home. This is great in terms of family life -- not so great in terms of working with peers, getting in on contracts, etc. If you like working from home, sometimes engineering consulting can be the way to go. But you will always have to socialize to some extent -- the beauty part is you're socializing with other bright, nerdy types.
Kris