After the completion of any work or purchase or otherwise acquiring the improvements authorized pursuant to section 17-913, the engineer shall file with the city clerk or village clerk a certificate of acceptance, which acceptance shall be approved by the city council or village board of trustees by resolution. The city council or village board of trustees shall then require the engineer to make a complete statement of all the costs of any such improvement and a plat of the property in the district and a schedule of the amount proposed to be assessed against each separate piece of property in such district, which shall be filed with the city clerk or village clerk within ten days from date of acceptance of the work, purchase, or otherwise acquiring the system. The city council or village board of trustees shall then order the city clerk or village clerk to give notice that such plat and schedules are on file in his or her office and that all objections thereto, or to prior proceedings on account of errors, irregularities, or inequalities, not made in writing and filed with the city clerk or village clerk within twenty days after the first publication of such notice, shall be deemed to have been waived. Such notice shall be given by two publications in a legal newspaper in or of general circulation in such city or village. Such notice shall state the time and place where objections, filed as provided for in this section, shall be considered by the city council or village board of trustees.