The manual corresponds to the state educational standard of the discipline "Modeling" of the direction of bachelor training 552800 "Computer Science and Computer Engineering" . The modern approach of object-oriented modeling of complex nonlinear hybrid systems is considered on the example of external ballistics tasks. The basic concepts of object-oriented approach to modeling. The main designs of the universal modeling language UML, as well as its extensions in relation to continuous and hybrid systems. The application of object-oriented modeling technology to standard models of external ballistics is shown. The presented material allows you to organize full-fledged laboratory work . All models shown in this manual are made using the domestic modeling tool Mv. Studium. Designed for students (bachelors, masters) and graduate students studying in the direction of "Mathematical modeling" in the study of courses "Computational packages", "System analysis", "Mathematical models" .