[bjs250]

Politely disagree. I'm going to take engineering math to mean ~4 semesters of calculus (differentiation, integration, multivariable, and differential equations) as well as maybe a Linear Algebra class and a discrete mathematics class (probability, set theory, combinatorics). I would argue only the discrete mathematics course is practically useful

Anecdotally, as an engineer in industry, I use very little of the engineering math. Number sense and sort of general quantitative reasoning are used.

Let's suppose for sake of argument that I actually used engineering math though. Analytic solutions to derivatives and integrals (2 semesters of calculus) are largely useless because of applications like Wolfram Alpha that will solve these problems for you. The small class of ODE/PDE problems that are handled by analytic undergrad math classes will most often be solved using numerical methods such as Runge Kutta. Linear algebra is actually super useful in practice because you can use matrix solvers to solve systems of linear equations -- but a first course in undergraduate linear algebra is often just basic by-hand computations on matrix systems, and don't discuss higher order concepts at more than a shallow level (spans, invertibility, spectral decomposition, canonical forms, etc.)

[mirimir]

I'm old. There were no PCs then, so the analytic stuff was useful. What I remember most about the pure math classes were proofs about whether or not something was solvable. But never anything about how one might actually solve anything. And far too much number theory. All too abstract for me.

[bjs250]

Yeah, well I totally agree on that end. Proofs are almost never practical for anyone.

Number theory is also a huge bore