I would like to receive some very pragmatic answers, and if not, informed opinions.
So I have to choose three elements out of list A and 3 elements out of list B and I want to pick them so that I can maximize my employability.
As employability I want to consider the following sectors: Engineering Companies, Statistics/Data Analysis/Machine Learning companies, Mathematical Physics Research at University/Private companies, Analyst/Software developer.
Here are the lists:
LIST A: (choose 3)
- Numerical Methods (learning Python in-depth and also the underlying mathematical theory)
- Survival Models
- Advanced Theory of PDEs and Applications
- Advanced Fluid Dynamics.
- Statistical Inference
- Graph Theory
- Design & Analysis of Experiments (learning SAS in depth)
LIST B: (Choose 3)
- Relativity, Cosmology and Black Holes.
- Statistical Methods 2 (Nonlinear regression)
- Mathematical Biology
- Hilbert Spaces (functional analysis on Hilbert Spaces)
- Integral Transform Methods
- Stochastic Processes
So my question is how do I choose, PRAGMATICALLY, 3 items from list A and 3 items from list B to optimize my employability as considered in the four job sectors? For example here are my thoughts:
I gave each item a grade from 1 to 10 on how it would be useful in each sector, so that for example " Numerical Methods (10,8,7,10)" means that numerical methods would be 10/10 useful in engineering companies jobs, 8/10 useful in statistics/data analysis/machine learning companies, 7/10 in research and finally 10/10 in Analyst/software developer.
Of course the numbers need to be motivated, however they are clearly not that arbitrary, as I am sure many will say down in the comments.
So here are the grades I've given to the items and how I optimized for each sector:
LIST A: Numerical Methods(10,8,7,10), Survival Models(5,10,6,6), Advanced PDEs (9,4,9,2), Advanced fluid dynamics (9,3,10,3), Statistical Inference(7,10,6,6), Graph Theory(8,8,6,9), Design&Analysis of Experiments(9,9,9,9)
LIST B: Rel&Cosmology(8,2,10,2), Nonlinear Regression (5,10,6,6), Mathematical Biology(7,2,10,2), Hilbert Spaces(2,4,8,2), Integral Transfom (10, 2,10,2), Stochastic Processes (7,10,8,7).
Therefore I obtained the following:
- Engineering: LIST A: Num Meth, Adv PDE, Analysis & Design ( or choose Fluid Dynamics). LIST B: integral transf, rel and cosmology, stochastic processes (or math biology).
- Stats/Machine Learning: LIST A: Survival, Stat Inference, Analysis and Design. LIST B: Non linear regression, stochastic processes, Hilbert Spaces.
- Research: LIST A: Adv PDEs, Adv fluid dynamics, design and analysis of experiments. LIST B: Rel and cosmology, math biology, integral transform.
- Analyst/Soft Dev: LIST A: Num Meth, Graph Theory, Design and Analysis. LIST B: nonlinear regression, stochastic processes, and any other.
Given my grades, how exactly do you think I could optimize my employability? Furthermore, would you be able to propose a different grading? In general, if I had no preference between the four job sectors, and no preference in the items themselves, but my only payoff would consist in optimizing my employability, what combination of items would be the best?