Steve,
EPDA (ethylene propylene diene monomer) or TPO (thermoplastic olefin) are both a rubber membrane type of roofing material that is usually stretched over plywood. These materials are used for roofs on lightweight entry level RVs because they are cheaper and lighter. The roofing material that is used on your coach is a fiberglass sheet with a gel coat surface that is similar to what is used in boats.
The rubber roofs require yearly cleaning and conditioning, especially if stored outside. They are also susceptible to tears from tree limbs that can require patching or replacement. Also the rubber roofs will require complete replacement in as little as 15 years in extreme environments. Where the fiberglass roof is very difficult to damage, should never need replacing, but might need painting once or twice in the life of the coach.
Gerald