I'm the Wolfram-U Complex Analysis lecture series. In the example 3 of the section on Harmonic functions we are asked to plot some level curves for the real and imaginary parts of a complex function. Given f(z) = z^2I'm trying to plot the level curves for
u[x_,y_]:= x^2-y^2
and
v[x_,y_]:= 2*x*y
I have tried ContourPlot and ComplexContourPlot what am I missing?
Have you tried
ContourPlot[{x^2 - y^2, 2 x y}, {x, -2, 2}, {y, -2, 2}, ContourShading -> False] ComplexContourPlot[ReIm[z^2], {z, 2}]
That worked like a treat. Thank you!
