What is the woman most likely to be?

M: Good morning, Lucy. Can I help you?
W: Good morning, sir. I’d like to talk with you about my studies for a minute, if I may.
M: Certainly, come in and have a seat.
W: Thank you. I have a record of my studies for last year. Would you like to see it?
M: Yes, let me see now. You are studying mathematics, aren’t you?.
W: Yes, I am. But I’d like to apply for admission to the engineering college next year.
M: I see. Have you asked your parents for their advice about this?
W: Yes, I have. They think it is a good idea.
M: Well, your record here has been very good. I don’t think you will have much trouble.
W: I hope not. Anyway, I am going to apply. And I’d like to ask you to write a recommendation for me, if it is not too much trouble.
M: No trouble at all. I’d be glad to do it. Is there anything else?
W: No, sir. I think that is all. Thank you very much.
M: All right, Lucy. Good luck to you.
W: Thank you, Good-bye.