I am currently a first-year Ph.D. student taking a course sequence with my Ph.D. advisor. The first class of the sequence went really well, however, the second class is not going as well. The most notable instance is I copied down a problem incorrectly from the homework prompt. This is the first time in my life I have ever done so, and I was extremely embarrassed about it. An embarrassing instance outside of the class was during a one-on-one discussion. He asked me a question, and I froze and could not think correctly, and said a factually incorrect thing. With the combination of these things, I am beginning to worry my advisor thinks I am stupid, and thus not cut out for a Ph.D. I think one aspect of why I am so nervous around him is he's extremely famous and I think that gets to me.

Anyway, I was curious if anyone had suggestions on how to proceed with any of the two instances I mentioned to help me improve my situation.