How to set the displayed data on Calendar Day View?

I have a control (red arrow) that I use to filter the tasks on a list and I would also like to use it for filtering the events on another view (pink arrow) which is set up as a Calendar Day View.

However, I haven’t found a way to programatically set the displayed date at the Calendar Day View. So if I change the date on my main control (red arrow), it won’t affect the Calendar Day View (pink arrow) unless I manually pick up a date that matches the other control.

Does anyone has suggestions about how to overcome this?