Computational Finance is optimizing some Financial Model and solving some
equilibrium problems. It will focus on the computer methods for obtaining
model solutions.
Financial Mathematics is based on how to establish the model. It always
use the Stochastic Process and Differential Equations. It's the basis
of Financial model.
Financial Engineering does really combine the Engineer and Computer with
Finance. You can also learn some eynamic programming and Beyesian D
ecision Analysis.
As for the job