var someDate:Date = new Date();
var dayNum:uint = someDate.getDay();
switch(dayNum)
{
    case 0:
        trace("Sunday");
        break;
    case 1:
        trace("Monday");
        break;
    case 2:
        trace("Tuesday");
        break;
    case 3:
        trace("Wednesday");
        break;
    case 4:
        trace("Thursday");
        break;
    case 5:
        trace("Friday");
        break;
    case 6:
        trace("Saturday");
        break;
    default:
        trace("Out of range");
        break;
}