The purpose of the credit module is to form the following competencies in graduate students: general - GC 2 Ability to search, process and analyze information from various sources; GC 3 Ability to communicate in a foreign language to the extent sufficient to present and discuss the results of their scientific work in oral and written form, as well as to fully understand foreign scientific texts in the specialty; GC 4 Ability to independently conduct research activities, including analysis of problems, setting goals and objectives, selection of means and methods of research, as well as assessment of its quality; GC 7 Ability for continuous self-development and self-improvement; professional – FC 2 Ability to comply with moral and ethical rules of conduct, research ethics, characteristics for participants in the academic environment, as well as the rules of academic integrity in scientific research; Acquisition of programmatic learning outcomes: PRN 7 Know the methods of applied nonlinear analysis and use them in the development of mathematical models of nonlinear nonstationary processes; PRN 17 Read and understand foreign texts in the specialty; freely present and discuss with specialists and non-specialists the results of research, scientific and applied problems of the industry in the state and foreign languages, competently reflect the results of research in scientific publications in leading international scientific journals; PRN 18 Adhere to the rules of academic integrity; know and adhere to the basic principles of academic integrity in scientific and educational (pedagogical) activities. Subject of study. Complex Nonlinear Systems, Applied Problems of Nonlinear Analysis of Various Nature. The main tasks of the credit module. According to the requirements of the program of the discipline, students after mastering the credit module must demonstrate the following learning outcomes: Knowledge: basic concepts, approaches and methods of nonlinear and multivalued analysis, basic methods of qualitative analysis of nonlinear systems of partial differential equations; Skills: use modern mathematical apparatus and the basics of nonlinear and multivalued analysis; apply basic theoretical and practical methods of qualitative analysis of nonlinear systems of partial differential equations with multivalued or discontinuous right-hand side; Experience: application of the methodology of nonlinear and multivalued analysis to specific problems that are mathematical models of processes of different nature