![Image of imaginary part of the cube root on the complex plane. Image of imaginary part of the cube root on the complex plane.](/courses/mathematics/18-04-complex-variables-with-applications-fall-1999/18-04f99.jpg)
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)
Prof. R. Rosales
MIT Course Number
18.04
As Taught In
Fall 1999
Level
Undergraduate
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.
Other Versions
Other OCW Versions
OCW has published multiple versions of this subject.