Ah the Duo-Therm "analog" thermostat, I replaced mine with a modern Honeywell battery powered thermostat when my analog thermostat started doing wild temperature swings between off and on, making it hard to sleep. Think cover up with blankets, heater comes on, you get hot, kick the blankets off, heater cuts off, you get cold, you think the heater will come on soon, you get colder, you cover up, and then the heat comes on, repeat.
There are numerous instructions online for how to replace one of these with a modern Hunter or Honeywell branded thermostat, though there are a few words of caution:
1, the wiring instruction in the box are useless on this retrofit since RV's use a different switching logic (ground switching)
2, Pay attention to the wire color (take a picture before you disconnect anything), not everyone uses the same color coding.
3, You will have a left over positive wire that should be taped up and isolated since the new thermostat is battery powered
4, You may want to add a separate hi/lo fan switch in, as these thermostats don't have on, I added one into the side of my thermostat using a cheat toggle switch, though I did have to remove a few of the plastic ribs in the thermostat to make it fit.
See https://www.youtube.com/watch?v=lOPtLUTmHIc for one of many marginal videos showing how to do this
also see https://www.youtube.com/watch?v=yVPgAqinM3k
Here is a write up that includes a wiring diagram http://www.modmyrv.com/2012/01/03/mod-100-honeywell-digital-thermostat
p.s. finally here is a picture of mine with the hi/lo fan switch mounted on the left side of the thermostat using a 25 cent ebay switch with pigtails