Using the jQuery Update module throws the "F is undefined" error
I use jQuery Update on every site we make.

One typical problem it has, is that it can cause problems on admin pages.  The issues for the module has a patch (http://drupal.org/node/775924#comment-3010750) that fixes the problem.  You can also edit this to use any version of jQuery you want, as long as you place the proper versions in the module folder.