This demo project was created by XCode 6.1 with "Master-Detail Application" template. The built application will not work with iOS 7 because the template uses a new method which is only available since SDK 8 (UISplitViewController::displayModeButtonItem). With a quick check for the missing selector, UISplitViewController magically works pretty well. Many blog posts addressed this issue but after a few hours of testing myself, their solution is still incomplete. Getting it to work in iPhone-iOS7 is easy because the controller transforms itself to a humble UINavigationController. The hardest thing IMHO is to get the popup bar item button to show up in portrait iPad. Turned out, it was pretty simple (and obvious once you know it): you just need to implement the deprecated splitViewController:willHideViewController:withBarButtonItem:forPopoverController and splitViewController:willShowViewController:invalidatingBarButtonItem in your UISplitViewControllerDelegate.
Download the project to see it in action. For screenshots, have a look at my blog.
PS: In the template, it calls UISplitViewController::displayModeButtonItem twice. Once in application:didFinishLaunchingWithOptions and once in MasterViewController::prepareForSegue which is unnecessary so in the demo project, I moved the code to DetailViewController::configureView.