A server class you are using needs an additional method, but you can't modify the class.
Create a method in the client class with an instance of the server class as its first argument.
Date newStart = new Date (previousEnd.getYear(), previousEnd.getMonth(), previousEnd.getDate() + 1);
Date newStart = nextDay(previousEnd); private static Date nextDay(Date arg) { return new Date (arg.getYear(),arg.getMonth(), arg.getDate() + 1); }