I do computer science at Sydney uni. There for the first year the Computer Science people and software engineer people can do the same subjects if they wish. Computer Science lets you choose the subjects you want to do with only programming and maths compulsory, yet software engineering has the subjects already chosen for you. Computer Science has majors from which to choose from, these are : Principles of computer science, multimedia technology, networks and systems, software development, digital design, computational science and computational linguistics.(Don't know if majors are the same at all uni's.)
I think there both very hard courses but software engineering takes i think 5 years where as computer science takes 3 years.