From 2000 I collaborated with Prof. C. Weibel and Prof. V. Voevodsky to write a book based on the lectures that Voevodsky gave at the I.A.S. in Princeton, N.J., in Fall 1999 – Spring 2000.
After much intermittent work, we published the book Lecture Notes on Motivic Cohomology in 2006. Weibel has a page with the errata, but you can send them to me too at mazza@dima.unige.it. There you can find an old version which I also happen to have it here.