All the leaves are brown and the sky is gray
I've been for a walk on a winter's day.

(First verse) I'd be safe and warm if I was in LA
California dreamin' on such a winter's day.
Stopped into a church I passed along the way
Oh I got down on my knees and I pretend to pray
You know the preacher likes the cold
He knows I'm gonna stay
California dreamin' on such a winters day.

(Second verse) If I didn't tell her
I could leave today
California dreamin' etc.

I got these from "101 Folk Songs for Buskers" but they are not always totally reliable.
I doubt if your professor will remember the words - I lived through that era and I can't remember anything about it - good times though.
Good luck.