Mayor

A mayor (/ˈmɛər/ or /ˈmeɪər/, from the Latin maior [majˈjɔr], meaning "bigger") is the highest-ranking official in a municipal government such as that of a city or a town. Depending on the system chosen, a mayor may be the chief executive officer of the municipal government, may simply chair a multi-member governing body with little or no independent power, or may play a solely ceremonial role. Options for selection of a mayor include direct election by the public, or selection by an elected governing council or board.

Many American mayors are styled “His/Her Honor” while in office.

Council-Manager
Under council-manager government, the mayor is a first among equals on the city council, analogous to a head of state for the city. He or she may chair the city council, lacking any special legislative powers, but in most cases able to set the legislative agenda. The mayor and city council serve part-time, with day-to-day administration in the hands of a professional city manager. The system is most common among medium-sized cities from around 25,000 to several hundred thousand, usually rural and suburban municipalities.

Mayor-Council
In the second form, known as mayor-council government, the mayoralty and city council are separate offices. Under a strong mayor system, the mayor acts as an elected executive with the city council functioning with legislative powers. He or she may select a chief administrative officer to oversee the different departments. This is the system used in most of the United States' large cities, primarily because mayors serve full-time and have a wide range of services that they oversee. In a weak mayor or ceremonial mayor system, the mayor has appointing power for department heads but is subject to checks by the city council, sharing both executive and legislative duties with the council. This is common for smaller cities, especially in New England (where most towns do not even have mayors at all). Charlotte, North Carolina and Minneapolis, Minnesota are two notable large cities with a ceremonial mayor. Carl Stokes was the first African American mayor of any major U.S. city.

Source

 * Mayoralty in the United States
 * Mayor