The underpinnings, usage, and capabilities of source code developed to simultaneously compute and display the temporal evolution of quantum-mechanical wavefunctions are described. This computation is done through direct numerical integration of Schrödinger's equation and is limited to one spatial dimension. The source code is freely downloadable for noncommercial, educational purposes. The Schrödinger equation's linearity in facilitating the computations along with important restrictions imposed by the algorithms employed are emphasized. Physical interpretations of the example systems treated are highlighted. Plenty of citations and footnotes are provided---both historical and pedagogical.... More >