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.)

Instructor(s)

MIT Course Number

18.04

As Taught In

Fall 1999

Level

Undergraduate

Cite This Course

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.

Rosales, R.. 18.04 Complex Variables with Applications, Fall 1999. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-04-complex-variables-with-applications-fall-1999 (Accessed). License: Creative Commons BY-NC-SA


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