1.  Literature overview,  definition of marine and offshore structures, ocean engineering technologies and mechanical aspects, structural systems applied, jack-up drilling platforms and structural elements. 2. Tensor algebra fundamentals,  stress and small strain states of a solid, constitutive relations. 3. SDOF and MDOF dynamic systems, damping and added masses in offshore vibrations,  generalised eigenvalue problem, forced vibrations in offshore engineering. 4. Random variables, stochastic processes, random fields concepts, random excitations. 5. Wind, waves and sea current - description,  wind - sea waves - structure - subsoil  interaction problems. 6. Wind and sea-wave loads, spectral approach. 7. Stiffness and damping properties of soil, foundations of offshore structures. 8. Presentations of numerical examples based on the Petrobaltic platform structural data.