it applied statistical theories, esp. central limit theory, and hypothesis and tests using classical test statistic like likelihood ratio, Bayes, Wald, etc., to the economics studies. it talks about asymptotic distributions of these statistic thoroughly as well as programming. It also deals with time series analysis. I have taken this class which is a good way to review statistics and think about its various applications.
some quant recruiters put econometrics specifically as basic requirements on their job ads while others don't.