I'm a mechanical engineer with strong minors in applied computational mathematics and scientific computing, and math has been, for me, a super-power. It opens all kinds of thermal, structural analyst jobs. I can optimize all kinds of stuff. I can automate simulations and plot the results in ways that the non-technical can get a good idea of the right direction to go. That all comes from math.<p>Can you hand-code a solver for Maxwells equations or Navier-Stokes (lid-driven cavity flow)? That opens electronics and thermo-fluids. How are you with classic and singular perturbation methods? That gives you signal integrity at Intel - they pay pretty well. Get a few languages under your belt - icky things that are gold plated. MatLab, LabVIEW, Python, SQL, and C. That gives you most of mechanical engineering, lab-based data collection, tons of current "data science", being able to work with previous content, and making your code go really fast, respectively.<p>Try not looking for jobs on monster, or dice or such. Get friendly with a technical recruiter at Manpower Technical and ask them to get you a few decent contract positions to help you both return some excellent value, and to grow your professional breadth. Make sure some of the positions are business, production, design, and leadership in that order. If you do leadership first without the others, you are wasting yourself.<p>Read a few books on how to negotiate salary. Your earnings at age 25 determine your total lifetime earnings, so if you let yourself get low-balled early, it can cost you a few million in total lifetime earning. You don't want that.<p>Once of my heroes is Karl Kempf. Read what he, applied mathematician that he is, has done. He returns a defensible $8 billion per year every year in new value to his company. He is someone to emulate.