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18.04 Complex Variables with Applications, Fall 1999

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. (Courtesy of Prof. R. Rosales.)

Highlights of this Course

Study materials for this site feature MATLAB®-generated three-dimensional graphics including Newton Iterations and Multiple-Valued Functions, along with a MATLAB® tutorial. A list of assignments and required readings are also included on the site.

Course 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 and Laplace transforms.

Staff

Instructor:
Prof. R. Rosales

Course Meeting Times

Lectures:
Three sessions / week
1 hour / session

Level

Undergraduate

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