The new Facebook Javascript API handles the following methods :

Core methods

• FB.init : Initializes the library
• FB.login : Login/Authorize/Permissions
• FB.logout : Logout the user in the background
• FB.api : Make a API call to the Graph API
• FB.ui : Method for triggering UI interaction with Facebook as iframe dialogs or popups, like publishing to the stream, sharing links
• FB.getLoginStatus : Find out the current status from the server, and get a session if the user is connected
• FB.getSession : Synchronous accessor for the current Session (less overhead as the asynchronous access)

Data Access Utilities

• FB.Data.query : Performs a parameterized FQL query and returns a FB.Data.query object which can be waited on for the asynchronously fetched data
• FB.Data.waitOn : Wait until the results of all queries are ready

Event Handling

• FB.Event.subscribe : Subscribe to a given event name, invoking your callback function whenever the event is fired
• FB.Event.unsubscribe : Removes subscribers

XFBML methods

• FB.XFBML.parse : 13 tags XFMBL can be parsed in the document

Canvas methods

• FB.Canvas.setAutoResize : Starts or stops a timer which resizes your iframe every few milliseconds
• FB.Canvas.setSize : Tells Facebook to resize your iframe

Some useful tutorials about the new Facebook Javascript SDK are listed hereafter :

• Mahmud Ahsan on Thinkdiff.net: Graph api & javascript base Facebook Connect tutorial
• Abu Ashraf Masnun on masnun.com : Using The Facebook Graph API with js-sdk : An explanatory Tutorial
• timware on Hyperarts : How to Add Facebook’s XFBML Like Button & Social Plugins to Your Web Pages & WordPress Posts

A very useful development tool is the Test Console made available by Facebook.