How do you act cordial to someone you dislike?

I consider myself to be a well-rounded woman with polite manners. However, I do not have the highest level of tolerance when it comes to people I simply cannot stand. I have one teacher, in particular, who is not my cup of tea. I find it hard to hold my composure around her and I’m looking for ways to contain my anger and move past the situation. Do you have any thoughts?