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This lecture introduces static methods in Java, which can be accessed without an object. It covers the restrictions on static methods, emphasizing that they can only access other static methods and variables. The utility of static methods is discussed, such as creating classes for utility methods like mathematical operations. The lecture also explains the importance of static methods in the main method, as they cannot access instance variables. Overall, it highlights the specific situations where static methods are useful and the reasons behind using them in Java programming.