That's because you have 2 versions of jQuery running on your site, therefore they are conflicting. Both are being includes externally from googleapis.
For your slider, find out which file contains the jquery embed code and replace with the following:
// load jQuery, if not loaded before
if(!JFactory::getApplication()->get('jquery')){
JFactory::getApplication()->set('jquery',true);
$document =& JFactory::getDocument();
$document->addScript(JURI::root() . "path/to/jquery/jquery-1.8.2.js");
}
This will ensure that only 1 copy of jquery is included. Make sure you change the path.