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. (Image courtesy of Prof. R. Rosales.)

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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Staff

Instructor:
Prof. R. Rosales

Course Meeting Times

Lectures:
Three sessions / week
1 hour / session

Level

Undergraduate