Hi,
> Whether TC supports UltraDayView control objects?
Check this page (
http://support.smartbear.com/products/more-info/testcomplete-survey/) and vote for your control if it is not explicitly supported yet.
> If Yes Tell me the methods to create the appointment in UltraDayView.
Even if the control is not explicitly supported by TC, it definitely can be controlled by TC due to the fact that it is a .Net component and *all* .Net components are accessible to TC.
Grab control into the Object Browser in TC, switch to the Methods pane and examine the methods available. Consult with your developers if it is not clear enough what method(s) to use to do what you need.