I guess the errors appear because of missing the "using" method in the top of the controller. However, I can't figure out what "using" method to add into the Controller.
The attached sample project includes a working application - you can check the source code of the controll in TutorialCS/App_Code/Controller/SchedulerController.cs.
It's now also added to the tutorial text (see the "Backend MVC Controller" section).
Also, don't forget to add a reference to DayPilot.Web.Mvc.dll. The sample project is a "Web site" and not a compiled project so the dependencies are just placed in "bin" directory.