Lucinda,
I was able to find this map http://www.arcgis.com/home/webmap/viewer.html?webmap=cd769ba1fbf44d3caee3c4fd54e97e84. Is this one that you are having trouble with? I can see the layer without problem. What browser and version are you using?
George,
I can see the shaded polygons in the web map. Are you able to view this map from your home? I wonder there may be some firewall issue with requests getting blocked. Can you see this page?
http://services.arcgis.com/Ej0PsM5Aw677QF1W/arcgis/rest/services/topocatchment/FeatureServer/0/query...
Mike