What I liked about math in engineering school was that after a certain point, it was really all about numerical methods. Because it is such an applied field, of

What I liked about math in engineering school was that after a certain point, it was really all about numerical methods. Because it is such an applied field, of course you want actual numbers - that's your bread and butter. You first learn the basics, the same way a mathematician learns something, but afterwards it's all simulation and approximations. During grad school, however, there was a complete shift from this - IMO. You suddenly had more classes with with math for mathematicians. Of course, this was because you took a lot more advanced and cutting edge classes, which were often built on various fields of math. New tech often follows that route...breakthrough discoveries in math or physics, which is often described in dense mathematical language. Before it eventually gets more applied and approximated forms, which are more suited for real-life uses. I've also noticed that working engineers tend to be much better at mental computation, than most researchers / scientists. But that obviously comes from years of work experience.