THE ORGANIZATION OF INDEPENDENT WORK STUDENTS WHEN TEACHING INVERSE PROBLEMS FOR DIFFERENTIAL EQUATIONS

The article notes that extracurricular independent work makes a great contribution to the development of students’ scientific and cognitive potential in the process of learning inverse problems for differential equations. In the process of independent work, students not only study the educational and scientific material on inverse problems, given in the classroom, but also studied the special scientific literature, that is, scientific articles, materials of scientific conferences, published not only in Russian but also in English. At the same time, students master the scientific style of presentation of scientific material in such special literature, which differs significantly from the style of presentation of educational material in University textbooks. It is noted that during the independent work students explore a variety of inverse problems that are recommended to them by the teacher. They develop skills and abilities to independently formulate logical conclusions based on the results of the study of inverse problems.