I have a calculated field that provides the remaining days in the current month. Is there a way that it will automatically calculate the remaining days in the month without me manually doing a pull down from the list view
No it won’t. The reason you have to trigger the calculations update manually is to avoid a sync loop. If I updated the list every time you viewed the list of records, first of all that would slow down the fetch of the list of records, second is that would trigger a sync, which would be synced to your other devices. When they refreshed the list of records, that would trigger another sync, and back and forth and back and forth.
So that’s the main reason why it doesn’t auto calculate.