This may be an option that I've overlooked, but as a teacher of a course, I need to be able to receive notifications when students enroll, especially self-enrollment of a course that can be completed at any time.
I also need to be notified when a student has submitted an assignment or assessment that needs grading. Again, for courses where students can enroll at any time, I won't know to give a grade unless I'm alerted. This can be particularly aggravating to a student if they aren't able to proceed further in the course due to performance/completion restrictions.
If this isn't a feature, please consider this a MUCH needed request.