In order to successfully use QtiPlot, you need the following libraries:
You must use the CVS version of the Qwt 5 library which comes with the QtiPlot archive ("3rdparty" folder). This should be statically linked to QtiPlot in order to avoid conflicts on your operating system.
The last version of the muParser (1.26) library is included in QtiPlot ("3rdparty/muParser" folder), so you don't need to download and install it.
In order to build QtiPlot you also need qmake, that is official part of Qt 3.x.