# 18.04 Complex Variables with Applications

**Catalog description:**

Complex algebra and functions; analyticity; contour integration, Cauchy’s theorem; singularities, Taylor and Laurent series; residues, evaluation of integrals; multivalued functions, potential theory in two dimensions; Fourier analysis, Laplace transforms, and partial differential equations.

Also see the math department’s subject overview for introductory math courses.

### Resources:

- Fall 2023 class website (some homework, some solutions)
- Spring 2019 lecture notes
- Spring 2018 OCW (homework, solutions, exams, lecture notes, recitation notes)