It depends on the University. I am from University of Ottawa, and I wish I took Computer Science instead of Software Engineering. They made me take Geology/Evolution/Italian Cinema while I begged the dean I would like to take Computer Graphics/Artificial Intelligence/Cryptography etc. Software Engineers in my University let the student focus on the higher level vision to know everything, but I kid you not, I totally forgot everything I learned in Geology/Evolution/Italian Cinema/etc. So if I took Computer Science, then I would have done the fun stuff, the important stuff that would help me prepare for job hunting. Instead, I just focused on Open Source, and personal projects to prepare, and that worked.