The basic concepts and definitions of system research and modeling of systems are considered. A detailed methodology for building models is presented , problems of mathematical modeling (deterministic , stochastic and adaptive management and assessment and identification tasks) , Simulation , starting with the study of the object and the selection of methods for reproducing the input effects and ending with the planning of the experiment , Experimentation and processing of results. The manual is intended for students of the direction of training "Computer Science and Computer Engineering", graduate students and other interested readers . ;Griff:Accepted by the UMO of universities on university polytechnic education as a teaching aid for students of universities studying in the direction of training (bachelor’s degree) “Informatics and Computer Engineering”