This lecture covers the three facets of a method: summary/contract, creation/construction, and usage. It explains the syntax for defining methods, including specifying the method body and using parameters. Examples are provided to illustrate method definition, method body instructions, and the return statement. The importance of the return statement is highlighted, emphasizing that the returned value must match the method's return type. Various scenarios and best practices related to the return statement are discussed, such as multiple return statements in a method, the correct placement of the return statement, and handling void methods. The lecture also touches on methods without parameters and the significance of the main method in Java programs.