Sketching Complex Sets

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• Feb 12th 2008, 08:13 AM
Unoticed
Sketching Complex Sets
The set B is defined by { z is a complex number : Im(z^2) > 0 and |z| > 1 }.
Sketch the set and state whether B is open and whether B is a domain.
• Feb 12th 2008, 08:54 AM
Plato
Noting that $\mbox{Im} \left( {z^2 } \right) = 2xy > 0\,\& \,\left| z \right| > 1 \Rightarrow \quad x^2 + y^2 > 1$;
Can you do the graph?
• Feb 12th 2008, 09:23 AM
Unoticed
Ye, thanks, I've got it now.