You can use the "Reports" tab in your SPW system to create a variety of reports. These reports can show you trainings taken, as well as trainings not taken, trainings expired, and trainings that are due to expire in the coming month(s). You can filter these reports to organize this information into departments, classifications, qualifications, by topic, and by supervisor.
These reports will only include employees that have been assigned to a given training (aka "course"). You must assign employees to required courses on either an individual (course by course) basis or group basis (by assigning employees to classifications and qualifications).
Note: The one exception to this rule, is the "Capability Report" under Qualifications in the Report Tab. This report will show you who is capable of performing a task regardless of what Qualifications he/she is assigned to.