Complex Variables with Applications

Image of imaginary part of the cube root on the complex plane.

Image of imaginary part of the cube root on the complex plane. Image created with MATLAB® software. (Image courtesy of Prof. R. Rosales.)


MIT Course Number


As Taught In

Fall 1999



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Course Description

Course Features

Course Highlights

This course features a complete set of assignments with solutions and all exams are available. In addition, the study materials section inclues MATLAB®-generated three-dimensional graphics (e.g., Newton Iterations and Multiple-Valued Functions) and a MATLAB® tutorial.

Course Description

The following topics are covered in the course: 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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Related Content

R. Rosales. 18.04 Complex Variables with Applications. Fall 1999. Massachusetts Institute of Technology: MIT OpenCourseWare, License: Creative Commons BY-NC-SA.

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