The city manager, the heads of all departments, and such other officers of the municipality as may be designated by the council, shall be entitled to attend meetings of the council, but shall have no vote therein. The city manager shall have the right to take part in the discussion of all matters coming before the council, and the directors and other officers shall be entitled to take part in all discussions of the council relating to their respective offices, departments, boards, or agencies. The city manager shall be notified of any special or adjourned meetings.