The tutorial covers the theoretical and practical foundations of multi-agent simulation of dynamic systems of various physical and social nature. The concept of an intelligent agent as a simulation model of the behavior of an active element in complex situations and strategies for interacting with other active elements and the environment to achieve a goal are outlined. Described are algorithms for agent behavior in various conditions, agent technologies for identifying and predicting the state of multi-agent systems, as well as software implementation of models in a universal Simplex3 simulation system.