Academic fields don’t have sharply defined edges. For years, the Economics Department has recommended that students interested in pursuing PhD studies in economics major in Math with Specialization in Economics rather than economics itself. And you would think (or I would think, without a whole lot of sophistication about higher level math) that “Math with Specialization in Economics” would be applied math, but at least at Chicago it isn’t in the (relatively new) Computational and Applied Math Department, but rather back in the plain old unapplied Math Department. I believe, however, that it’s also possible to focus on economics via the Applied Math degree, too.
And you can swerve in other directions, as well. Computer science, statistics, operations research, sociology, psychology, and biology all have lots to say about creating and exploiting gigantic data bases.
What your major is called is a lot less important than what skills you have learned, and how far up the learning curve you are on what your employer actually does – remembering that practically no fresh college graduate is all that far up any interesting employer’s learning curve.
I wrote all of the foregoing hours ago, and @HydeSnark really preempted it. Pay attention to that post! Not only for what it says, but for the attitudes and experiences it represents.
I will, however, note that the Computational and Applied Math major is relatively new – maybe three or four years old – and has not had a lot of graduates. The regular Math major remains one of the most popular majors in the college. For years, the regular Math major offered an Applied Math track within the regular math major, which looked a lot like Math with Specialization in Economics except instead of specializing in Economics you were supposed to specialize in some other social, physical, or biological science. Because it was Chicago, the overlap between Applied Math and Math was substantial, and I think that’s still the case even though Applied Math now has its own department.
If you look at Harvard, in the grouping Math, Applied Math, Statistics, the percentages are 20%, 50%, 30%. Roughly. I think that suggests where the money is. Which is to say, it’s not in one place, but if it were in one place that place would be Applied Math. At Chicago, the ratios are roughly 60% Math, 10% Applied Math, and 20% Statistics.