If I say that I cannot hold my peace (by giving up my mission) because that would be to disobey the god, you will think that I am not in earnest and will not believe me. And if I tell you that no greater good can happen to a man than to discuss human excellence every day and the other matters about which you have heard me arguing and examining myself and others, and that an unexamined life is not worth living, then you will believe me still less. But that is so, my friends, though it is not easy to persuade you. (Apology)
The general goal of the course is to explore the personal and social meaning of the statement, the unexamined life is not worth living. The live in which I let other people tell me what the questions of life are, the life in which I let other people give me their answers without my thinking through to my own answers, is the unexamined life. Socrates is saying that the life in which I ask my own questions and answer them for myself in a reasonable manner is a more valuable life than the unexamined life. The examined life is so much better than an unexamined life that Socrates is willing to die for that value.
I want to insist so much on your personal involvement in this course that I choose