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Complex Numbers

Complex Numbers

I've just started adding some basic complex numbers content to the site (definitely feel I've done this before!) My current plan is to add the following content.

Topic Complete
The arithmetic of complex numbers Yes
Roots of quadratics Yes
Roots of polynomials (and the fundamental theory of algebra)  
symmetric combinations of roots  
Modulus and Argument  Yes
The geometry of complex numbers (and the Argand diagram) Yes
Loci and Transformations Yes
Trigonometry   

After this, I think matrices would be a nice topic to visit. 

The fractal image was generated using Ultra Fractal 6. Part of the Mandelbrot set, which is generated by looking at the iterations of points, $c$, in the complex plane under the transformation $z\rightarrow z^2 + c$.