Basic Mathematical Methods -- Geometrically Non-linear Behaviour -- Stability Problems -- Load Incrementation in a Non-Linear Analysis -- Fundamentals of Material Models -- Theory and Numerics of the Linear Visco-Elasticity -- Theory and Numerics of Creep -- Theory and Numerics of Elasto-Plasticity -- Contact Analysis: Introduction, Kinematics -- Fulfilling the Contact Condition -- Aspects of Modeling Contact -- Contact Detection -- Contact with Shell- and Beam-Elements.