My wordpress site is a bit heavy to download. On the frontend, its including jquery unnecessarily. In my firebug it looks like:
jquery.js?ver=1.3.2
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JQuery may be being added by your theme. If your theme is adding it properly, it should be using the wp_enqueue_script() function. To remove JQuery, simply use the wp_deregister_script() function.
wp_deregister_script('jquery');
Removing JQuery for your whole site might cause some unintended consequences for your admin section. To avoid removing JQuery on your admin pages, use this code instead:
if ( !is_admin() ) wp_deregister_script('jquery');
Now only pages that are not admin pages will run the wp_deregister_script() function.
Add this code to the functions.php file in your theme directory.