added a comment - - edited
Thanks for the feedback, Paul.
I will remove this "informational" field from the course category form, it wasn't meant to appear there at all.
Regarding the name of the course total, what strikes you as odd is actually a default behaviour. When you create a course, this course category is automatically created, and no name is given to it. If it stays with no name, it will default to showing the course name. If the teacher wants to change its name, this will override the course name and be used instead. If he should want to revert to the course name, he can just remove the course category name entirely.
One reason for this behaviour is that we don't want to allow an empty name for any category.
It could probably be improved 
Attached a patch with the proposed fix.