Rath said:
The way we have been taught is that Computer Science is working on small important pieces of coding such as algorithms and that SE is working on much larger scale projects which require less understanding of the very fundamentals of coding but much more code.
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CS can be a lot of things, but generally, yeah, you're about right. I think SE is more planning, planning out those large projects, and then splitting it into those smaller pieces that the CS people would work on. Maybe a better way to say it would be a more specialized project manager?