Does there exist Top 50 rankings of applied math phd programs? For example, if one were to apply to Top 50 business schools for a full-time MBA program, one could get rankings from the NYTimes, the Financial Times, the Wall Street Journal, U.S. News and World Report, and the Economist, just to name a few sources - I bet there are plenty more.

I plan to apply to Top 50 applied math phd programs, however I cannot find any sort of rankings other than the one from the U.S. News and World Report, which only ranks up to Top 14 -- schools that I wouldn't realistically have a shot at getting into.  So, I am looking to aim a bit lower but am not sure where to even start.

How should I go about figuring out which applied math departments are generally regarded as  "Top 50 applied math departments"?  

Why aren't there a ton of different sources where I can get rankings from -- like in the business school world (and probably law school world too)?
Why aren't there a ton of different sources where I can get rankings from -- like in the business school world (and probably law school world too)?


One issue is that I think you are comparing apples to oranges.  Applied math is generally considered a part of mathematics--it is often not a separate department: the AMS only lists 30 graduate applied math departments.  What you are asking seems to me more akin to "what are the top 50 schools in environmental law"?  (I don't know whether such lists exist or not.)  

Second, what is considered "applied mathematics" varies from department to department, and perhaps from person to person.

Last, neither overall rankings nor specialized rankings should be regarded with too much seriousness.  There aren't meaningful, natural orderings on departments which measure "how good" a department is, largely because "good" is a nebulous concept.

As for how to choose schools, here are a couple suggestions:


Ask some of your professors in applied math for ideas.  Where I went to grad school was a place suggested by an undergrad professor.
Use general math rankings to get an idea of reputation (and thus selectiveness) of departments, and look at department websites to see which have active applied math groups.


Note: many students won't know going into math grad school won't know whether they want to do applied math, stats, probability, analysis, algebra etc etc, so in terms of selectivity, looking at the general reputation of the department may be more helpful anyway.