You may use template redirect action to check if there is parameter set for description and based on that you can show desired template.
<?php
add_action('template_redirect', 'course_template_redirect', 1);
function course_template_redirect()
{
global $wp_query;
if($wp_query->post_type=='courses' and $_REQUEST['showdesc']=='1')
{
//include your template from your theme folder. for e.g include('mytheme/coursetemplate.php');
}
}
?>