Most students (at my school) encounter Fourier Analysis in Partial Differential Equations if they are math majors and Circuit Analysis II (with more use in a Systems and Signals course) if they are EE majors.
To use the techniques from Fourier Analysis, you need integration as well as a good working knowledge of complex numbers and trigonometric functions. Understanding it requires Linear Algebra.
Thats as far as I know. This is coming from a EE who just took linear algebra.