Introduction to discrete and continuous modeling of materials (microstructures, homogenization techniques and multi-scale approaches), fundamental theoretical concepts (basic Rheology, classification of the phenomenological material response, elements of continuum thermodynamics), fundamental numerical concepts (discretization techniques for evolution systems, linearization techniques and iterative solution of nonlinear systems), linear and nonlinear elasticity, damage mechanics, viscoelasticity (linear and nonlinear models, stress update algorithms and consistent linearization), rate-independent plasticity (theoretical formulations, return mapping schemes, incremental variational formulations, consistent elastic-plastic tangent moduli), viscoplasticity (classical approaches and overstress models).