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title: 18.04 Complex Variables with Applications | ||
permalink: /courses/mit/course-18/18-04/ | ||
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**Catalog description:** | ||
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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. | ||
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Also see the math department's [subject overview](https://math.mit.edu/academics/undergrad/subjects/180x.html) for introductory math courses. | ||
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### Resources: | ||
- Fall 2023 [class website](https://math.mit.edu/classes/18.04/2023fa/index.html) (some homework, some solutions) | ||
- Spring 2019 [lecture notes](https://math.mit.edu/~dunkel/Teach/18.04_2019S/notes/1804_Main.pdf) | ||
- Spring 2018 [OCW](https://ocw.mit.edu/courses/18-04-complex-variables-with-applications-spring-2018/) (homework, solutions, exams, lecture notes, recitation notes) |
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