Computer science is a liberal arts degree that involves mostly formal mathematics and problem solving. The contents covered in undergraduate mainly involve application of graph theory, numerical analysis, algebra, and logic analysis. Some electives will also cover basic group theory and state machines for compiler theory or calculus of variations for real analysis in machine learning.
Software engineering teaches programming, practical skills, coding languages and application development.
There's very little overlap aside from the fact both use code (as does a math degree, physics, material engineering, etc...)