Complex Variables with Applications

Two charts.

Two ways of looking at Re or Im{exp z}. (Image by Prof. Alar Toomre.)


MIT Course Number


As Taught In

Fall 2003



Cite This Course

Course Features

Course Description

This course explored topics such as 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 and Laplace transforms.

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Alar Toomre. 18.04 Complex Variables with Applications, Fall 2003. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed). License: Creative Commons BY-NC-SA

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