The analytical and numerical approaches to the analysis of the ultrashort-pulse solid-state lasers are presented. The unique self-consistent method of the laser dynamics analysis is based on the symbolical, numerical, programming, and graphical capacities of Maple. The algorithmization of basic conceptions as well as sophisticated research methods is of interest to both students and experts in the laser physics and the nonlinear dynamics. This worksheet contains the data processing blocks, which require the ziped *.dat – files. To evaluate, it is necessary to place these files in the Maple current directory.