Basically, the module follows the contents of Mechanics III, i.e. we deal with systems whose acceleration cannot be neglected. The focus is not only on the derivation of basically nonlinear ODE systems, but also on their solution and in particular on possibilities to estimate the expected solutions. For this purpose and also in general, the programming language Python will often be used, whereby the elementary code building blocks will be given. A central point is to examine and decide whether or in which cases one can "blindly" trust prefabricated solution routines. Furthermore, linearization leads us to linear ODE systems, which can be examined for phenomena such as "resonance" and "erasure" and the underlying systems can be specifically designed in this respect. In the context of model building, we will analyze, among other things, the influence of the discretization on predictions such as the natural angular frequencies. The detailed learning objectives of each learning unit are furthermore still listed in these.