I have sent the solutions of some assignments to the students of my class.
One of my students sent me a message that reads as follows (not greeting or anything, no closing, just the following):
The proposed solution of Exercise X is obviously wrong because of reason blah blah. An appropriate solution to your exercise would be such and such.
Now, the student in essence is actually correct: there is a slight error (but it does not alter the essence of the solution). It is just a small wording issue that might raise some confusion (but the calculations are clear).
What troubles me is the attitude, which I found kind of offensive (but I might be wrong).
Is it appropriate a student to behave like that? What would be the right approach to deal with this student?
I answered as politely as I could that the student is right, thanked the student for spotting it, and updated the solution manual. But I feel that the student would create similar issues and make similar comments if some typos are found in subsequent notes.
Note: The actual problem might be that the student might start bad-mouthing me to other students/professors and this might negatively influence other students in believing that I am doing a bad job and consequently this could be reflected on my teaching evaluations (given also that I try to get tenured). Maybe I am paranoid (hope so!), but in relatively small classes where everyone knows each other, the power of bad-mouthing can be great. I want a way to (a) avoid confrontation and (b) make it clear that these issues are completely minor (they are) and not worthy of such aggressive (which they might not be, but I do not want to take chances) messages.