Computer Science also includes lots of digital circutry and electrical engineering stuff. I am an undergrad right now majoring in computer science, and doing reaserch in the area of computer architecture (which is ALL digital/analog hardware).

I will be graduating this spring and will be going to graduate school, where I will be doing my reaserch full time. Computer Science is NOT just programming as many people think.

Im personally doing a BS in CS then, after maybe five years of industry experience I might go back for a masters in software engineering. I don't know about the whole PHD thing though, probably won't attempt to get it until im really far out there in my career.

Both B.Sc Computer Science and B.Eng in Computer Engineering are the same.

Just that B.Eng in Computer Engineering study 2 year in Electrical Engineering and 2 year in Computer Science.

Both course are overlapping in most country.
Both course enable you to become Software Engineer...

However, one of the best Software Engineer i know, come from law background.