Question:
When I have a choice to take only one of two possible sequences: A theoretical one which aids my research and an applied one that aids my employability, which one should I opt for? (I must do the other on my own)
Background:
I am currently in a PhD program for Applied Math. I have finished all my core courses but am now required to take any (from a list) of courses which span Econ (Micro Econ, Time series type stuff), Management (Business Intelligence) and Statistics (Mathematical Stats, the gnarly stuff). My research is on Big Data Analytics from a Mathematical perspective.
I want to keep my options for engineering (Electrical/Industrial Engineering) and Business (Data Analytics) faculty positions open. I want to join academi and in my department, senior students have gotten jobs in all of the three quoted above.
From that standpoint, what courses should I be taking? My time is constrained and I have to choose one of the three. I know for my research, I will benefit from a more rigorous mathematical training in Stats but I don't know if this will help me get a business school job. If I choose one, I know I can (& will probably make time) do the other two on my own but I am confused which one to pick.
The way I think :
If I do stats, I will have a rigorous background in any kind of statistical inference which is gold for what I do but I will have no clue about microecon, finance or business intelligence. All three are big application areas for my research.
If I do econ/business intelligence, for my research, I might get stuck at times when I am trying to interchange an expectation with a gradient and wondering "under what conditions can I do this".