Sunday
the heat will not turn on unless you manually turn it to 68 or higher
Monday
Any thermostat made has the same basic functionality. In your case, if the desired set point for HEAT mode is say 68°, and the temperature drops 1° below 68, the call for heat will be made. If you make the set point 65° and the temperature drops to 64°, again the thermostat will make a call for Heat.
Before you manually increased set point to 68° or higher, what was the temperature set point and what was the ambient room temperature?
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The Cooling Wizard