If you are a time series econometrician, measure theory is actually really useful. That being said, in my school "introduction to analysis" covered all the material in your "principles of analysis" class and part of the "real analysis" class. Measure theory was then covered in a course called real variables.
Also, pevdoki1, one of my recommenders, who is a Minnesota PhD told me: "what you really need is a course on measure" after I asked what math classes to take after senior level analysis. So maybe you'll find more use to those math skills of yours than you anticipate,
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