1. Within thirty days after the council adopts a resolution fixing the amount to be assessed against private property, the engineer shall file with the clerk an assessment schedule showing:

 a. A description and parcel number of each lot to be assessed.
 b. The valuation of each lot as fixed by the council.
 c. The amount to be assessed against each lot, which shall include the assessment for the default fund, if any, and the amount of deficiency, if any, which may be subsequently assessed against each lot under section 384.63.
 2. In the case of the abatement of a nuisance by a city, the city clerk may prepare, sign, and file the assessment schedule and other related documents that would otherwise be required of the engineer.