In an attempt to get better resolution I experience an error when I change to grid=[150,150]  Can we get better resolution? 

with(plots):

f:=exp(1/z):
complexplot3d(f, z = -.7-.7*I .. .7+.7*I, style = patchnogrid, orientation = [-90, 0], grid = [100, 100])

**edit - image not uploaded properly but shown a couple posts down

** Answer to zaxis range error part - The reason I couldn't increase the grid in Maple12 here is because...

I tried a partial differential equation example from a Robert Lopez example.  The answer shows a nice smooth graphical representation of heat transfer. 

However why does my method here, using numeric pdsolve, not produce the same results? 

Also pdsolve using numeric does not use the default timestep of 1/20.  Explicitly telling Maple to use timestep of 1/20 produces a different graph telling me that the default value is not being used in pdsolve.

Heat equation using piecewise conditions in Maple produce (unwanted?) oscillations at the transition.  Not sure if this is normal or a side effect of using a piecewise boundary condition in the equation?

I came across a slide presentation for the heat equation having Neuman conditions using a piecewise boundary condition and I thought I would apply the example to Maple.  The piecewise nature of the boundary condition in Maple causes oscillations at the transition...

Is there any way to modify the shading colors used in shading=zhue? 

Maybe similar to what was done in the post for Color of the plot of convex hull of points or perhaps there is simpler way? 

I would like if someone could help me with an example of the heat equation, this is lengthy so please bare with me.  When trying to recall your studies it is quite difficult to re-absorb all the different nomenclatures used by different people and put them into something you understand.  Some people use "c" for specific heat, some people use "s", some people use "a" for thermal diffusivity and some people use "k" which is also used for thermal conductivity. ...