Here are some resources that you can use to help you succeed in the course.

The names of the students in the class so that you can contact each other in order to work together to learn the material collaboratively.

 to some great webpages on applying complex variables to explain the Mandelbrot and Julia sets.

The first is Mathworld's explanation of  the Mandelbrot Set and of the Julia Set

The second is Professor David Joyce's wonderful Mandelbrot Explorer, complete with a wonderful explanation section.

The third is John Hoggard's incredibly well-written site which explains Fractal Geometry with a link to some beautiful pictures of the Mandelbrot and Julia sets.

Here is another very clear description of the Mandelbrot set.

Cool Website For Depicting Vector Fields

Cool Website for Depicting Contour Plots

Other Websites Devoted to Complex Analysis

1. Tristan Needham's Visual Complex Analysis website list of links

2. Hans Lundmark's "Visualizing complex analytic functions using domain coloring"

3. Terence Tao's Interactive Mapping of the Complex Plane Using f(z)

4. Bert Wachsmuth's Interactive Complex Analysis

5. Mathematica Demonstrations

(requires download of Mathematica CDF Player)

1. A Catalog of Conformal Mappings

2. Complex Mapping of Contours and Regions

3. Roots of Unity in the Complex Plane

4. Mapping Lines and Circles onto the Riemann Sphere

 

Last Updated February 19, 2014