A person denied a license or whose license has been canceled, suspended, or revoked by the Department of Motor Vehicles, except when such suspension is under Section 56-1-740 or when such cancellation or revocation is mandatory under the provisions of this article, may file a petition within thirty days thereafter for a hearing in the matter in a court of record in the county wherein such person shall reside. Such court is hereby vested with jurisdiction, and it shall be its duty to set the matter for hearing upon thirty days' written notice to the director of the department and thereupon to take testimony and examine the facts of the case and to determine whether the petitioner is entitled to a license or is subject to suspension, cancellation, or revocation of license under the provisions of this article. For the purpose of this section only, the burden of proof in any such hearing shall be on the department.