It depends on what you mean by software engineering. If you mean software planning/management, then basically high school algebra is sufficient.
As AwesomeTogether said, you'd want calculus and linear algebra for computer graphics. You'd want the same for scientific computing.
But for business software development or web development you could again get by with high school algebra. (Unless you want a Bachelors degree in which case they'll want you to have a lot of math.)