Here is what I did to fix it…
I manually inserted the script tags found at the bottom of the page for the tutorial into my own site. (just before the closing body tag)
<script type="text/javascript" src="http://contactform7.com/wp-content/plugins/contact-form-7/includes/js/jquery.form.min.js?ver=3.18"></script>
<script type="text/javascript">
/* <![CDATA[ */
var _wpcf7 = {"loaderUrl":"http:\/\/contactform7.com\/wp-content\/plugins\/contact-form-7\/images\/ajax-loader.gif","sending":"Sending ...","cached":"1"};
/* ]]> */
</script>
<script type="text/javascript" src="http://contactform7.com/wp-content/plugins/contact-form-7/includes/js/scripts.js?ver=3.3.1"></script>
This worked for me. (of course I replaced the src to match where my files were on my server)