Pursuant to the provisions of Cal. Gov't Code Division 2 of Title 7, refereed to herein as the “Map Act,” and pursuant to any other regulations provided by law, the regulations hereinafter set forth in Division I of this title shall be known as the “subdivision ordinance,” and shall apply to all divisions of land hereafter made of property wholly or partially within the city. A map shall be prepared and presented for approval, as hereinafter provided for and required, for each such division of land and each part thereof lying within or partially within the city.