I have a few questions about letters of recommendation for graduate school. I'll include my current situation, as I'm not sure what is relevant and what is not. I'm entering my fourth year of my bachelors in math, but I may stay an extra couple semesters to finish my minor (I also had a small setback, so doing the degree in 4 years wasn't entirely possible). I'll be applying for grad school in math. Here are my questions:
Can you ask a Prof to give a letter of reference to more than one university? For example, lets say that each school I apply to requires 3 letters of reference. Then, if I were to apply to 3 grad schools, would I need 9 distinct professors to ask for letters?
Do I get to see the letters which are sent?
There is one Prof who I've taken a course under, and I did well in his class. During that term, I showed an interest in the material, but I also think he does not like me (well, I'm not sure). This may or may not be the case, but let's say it is. Would it be unwise to ask this person for a letter?