In MySQL: How to pass a table name as stored procedure and/or function argument?

Prepared statements are what you need.

CREATE  PROCEDURE `test1`(IN tab_name VARCHAR(40) )
BEGIN
 SET @t1 =CONCAT('SELECT * FROM ',tab_name );
 PREPARE stmt3 FROM @t1;
 EXECUTE stmt3;
 DEALLOCATE PREPARE stmt3;
END $$