Upgrading from:

Graphics`ComplexMap`

The new two-parameter form of ParametricPlot now provides the functionality of Graphics`ComplexMap`.

CartesianMap functionality is now produced using ParametricPlot:

Version 5.2 << Graphics`ComplexMap`; CartesianMap[Exp, {-1, 1}, {-2, 2}]

PolarMap functionality is also produced using ParametricPlot:

Version 5.2 << Graphics`ComplexMap`; PolarMap[Sqrt, {0, 1} , {0, 2 Pi}]