Courses stay on Blackboard for a year after the course ends, so as long as you leave the course available, the student will have access.  If you do not want other students to access the site after the course ends, you can change the availability of the other students.  To do so:

  • Control Panel>>Users and Groups>>Users
Then-
  • Change User's Availability in the Course:

  • For every student who does not need access, you can change the availability for Yes to No.