You can wrap the fields in an if statement that checks the logged in users capabilities. Assuming the tutors have the Editor role and the student don’t, you could:
if( current_user_can('editor') ) {
// list fields hidden from student here
}
You could pick out any role or capability to use in that function as long as the tutors have it and the students don’t. Review a full list of roles and capabilities. If you wanted to go further you could setup a custom role or capability if there isn’t one already.