The article discusses the organization of the educational process of railway university students in the target programs. A successful educational process will be effective if the training provided to students of the transport university is of an acceptable quality, which will lead to a high demand for a specialist. When participating in targeted training programs, the learning process can be optimized and structured within the educational framework, thereby placing emphasis on acquiring the necessary knowledge for future professional endeavors. The objective of the article was to examine how the minor program in the Mathematics discipline for students in targeted programs enhances their professional motivation. We propose to consider the characteristics of training in targeted programs by examining the training of students in the specialty 23.05.04 "Electric power supply of railways" at the Samara State University of Railway Transport. We believe that one way to organize the mathematical training of students in targeted programs is to use professionally oriented tasks. As the objective of the study pertains to the issues of specialized university education in the field of mathematics, the paper presents a task that is geared towards professionals for students enrolled in the targeted programs of this particular field. Furthermore, this approach to the study of mathematics yields a comprehensive understanding of one's professional pursuits, implying that the integration of the educational process is essential in the preparation of a railway transport specialist. The evaluation of the proposed methodology for the instruction of students in the targeted programs has demonstrated its efficacy.