Dynamic analysis of constructions, basics of continuum analysis and discredization. Matrix methods in linear vibrations. Equations of motions compilation. Transmission and frequency characteristics. Eigen values problems. Orthogonality, modal transformation and their relations. Synthesis of machine parts. Optimization, differential equations in the state space. Approximate methods and solving of continuum mechanics and construction. Solving of static and dynamics tasks. Evaluation of variable loadings history. Fatigue analysis. Problem orientate software.