The Department of Finance shall perform those functions customarily performed by the City Auditor and the City Treasurer under the General Laws of Ohio. The head of the Department shall be assigned the title of Director of Finance. The Director of Finance shall be appointed by the Council for an indefinite term of office. He shall be the fiscal officer of the City, shall be responsible for the accounting, collection and custody of public funds and shall control disbursement. He shall countersign all bonds and notes issued by the City and shall perform such other functions as may be assigned by ordinance or by order of the City Manager. The Director of Finance shall serve as Clerk of Council and may, when authorized by Council, also serve as Clerk to the City Manager. The Council may, by ordinance, provide for necessary additional employees in the Department of Finance. The Director of Finance shall appoint and remove the employees in his Department.