ATTENTION Change of date

Originally it was planned to offer the teacher training on 18.3.2020. Unfortunately, this date has to be canceled. A new date is planned for autumn 2020 and will be announced here as soon as it is fixed.

Prof. Dr. L. Angermann
Oscillations - Modeling and Numerics

Differential equations are one of the most powerful mathematical tools for understanding the behavior of static or dynamic phenomena in nature, technology and society and for deriving predictions from them. Examples include a swinging pendulum, the spread of a disease or the weather. Basic laws of physics or even just intuition can be used to establish mathematical rules that control the static behavior or the temporal development of the respective state variables. These rules often take the form of differential equations -- these are equations that describe one (or more) unknown function(s) by linking one (or more) derivatives of the unknown function(s).

The lecture will use the oscillation equation as a central model to discuss how such equations are developed (modeling) and how they can be "solved" with the help of computers. The presentation begins with undamped free vibrations and then deals with more general vibration systems with possibly non-linear damping, non-linear spring forces and arbitrary external excitation.

Dr. H. Behnke
Iteration methods

Solving non-linear equations or systems of equations is a common subproblem. These equations can only be solved in a closed form in rare cases, which is why iterative approximation methods are required. Two basic analytical-numerical approaches to the (approximate) solution of non-linear finite systems of equations - the fixed point principle and the linearization principle - are presented.

Prof. Dr. Wilfried Herget, University of Halle-Wittenberg
Mathematics has many faces ... applied, averted and applied

... applied: Learning mathematics - what's the point? One answer to this is application and reality-oriented mathematics teaching. It shows: Mathematics is useful.
... averted: But math can also just be "nice". Good for nothing. Simply beautiful. This page also belongs in a general education math lesson.

I present a series of surprisingly simple, vivid and tangible examples. And in addition to applied and averted, something third becomes clear, namely turned towards: In order to bring "my" math closer to the students, I have to turn to them - honestly, transparently, clearly, reliably.

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