The City Treasurer shall give the taxpayer written notice of any assessment made pursuant to this article. Unless the taxpayer to whom the notice of assessment is given shall within thirty (30) days (except if jeopardy assessment) after service thereof, either personally or by certified mail, file with the City Treasurer a petition for reassessment in writing verified under oath by the taxpayer or his duly authorized agent having knowledge of the facts, setting forth with particularity the items of the assessment objected to, together with the reasons for the objections; the assessment shall become final and not subject to administrative or judicial review. The amount of an assessment shall be due and payable on the day following the date upon which the assessment becomes final.