For what it's worth, my computer science degree also had courses and projects that included requirements analysis, breaking down the problem, and elements of software engineering methodology and project management. (I believe we had a course titled "software engineering" even though the university doesn't award engineering degrees.)

I suppose in some schools computer science programmes might be fairly distinct from engineering ones. However, it seems that in lots of places a bachelor's in computer science is rather an generalist degree that covers lots of (mostly software) tech topics and some CS theory.

I'd still have trouble calling myself a software engineer, though, since I don't technically have an engineering degree, even though in lots of places my job might be described as such.

I also don't know a single programmer/developer whose job is distinct from field 2.