After receiving the report required in section 58-5 for making any local public improvement as requested in the resolution of the council, and after the council has reviewed the report, a resolution may be passed tentatively determining the necessity of the improvement, setting forth the nature thereof, prescribing what part or proportion of the cost of such improvement shall be paid by special assessment upon the property especially benefited and a determination of the benefits received by affected properties, and what part, if any, shall be paid by the village at large, designating the limits of the special assessment district to be affected, and designating whether to be assessed according to frontage or other benefits, placing the complete information on file in the office of the village clerk, where the information may be found for examination, and directing the village clerk to give notice of public hearing on the proposed improvement, at which time and place opportunity will be given interested persons to be heard. Such notice shall be given by one publication in a newspaper published or circulated within the village and by mail in accordance with