Don't use image maps in a Responsive layout. Why? Because hotspots don't resize. For best results, use Photoshop to slice your map into separate images. Link each one separately.
<a href="index.html.html"><img src="home.jpg"></a>
<a href="about.html"><img src="about.jpg"></a>
<a href="contact.html"><img src="contact.jpg"></a>
Nancy O.