Some international universities (e.g. ones in europe) have different masters degrees for financial engineering vs. financial maths. A difference in the course structure is that the financial engineering program includes econometrics courses, while fin math program includes stochastic calculus courses. Can some experienced quant explain to a layman here (i.e, engineer with no finance experience) how the finance career options differ for someone who knows econometrics vs. stochastic calculus (I basically don't know much about either area)?