I would look at the MIT OCW linear algebra course videos and beef up on that before digging into econometrics...not that I ever took UG metrics, but...
Even conditional on some good performance in the courses you will take, I would broaden your list. Also, I fell for the "reach" syndrome with my own...
This is why they want textbooks listed. I took measure-theoretic probability, but it was about 9 courses "ahead" of graduate math stats at my school....