Am I able to access all of jQuery functionality while I use jQuery Mobile?

Am I able to access all of jQuery functionality while I use jQuery Mobile?

I'm using jQuery Mobile on a site and I'm having trouble getting jQuery Core methods to work. Any page that initializes jQuery Mobile will not invoke my script. Here's the order I'm loading them: 

  1. <script src="js/jquery.min.js"></script>
    <script src="js/ess-mobile.js"></script>
    <script src="js/jquery.mobile-1.0a3.js"></script>

Does anyone else have this problem? Am I able to access all of jQuery functionality while I use jQuery Mobile?