Computational And Mathematical Modeling Program

CAMMP day - mathematical modeling day

On the basis of practice-oriented questions, students are introduced to the basics of mathematical modeling by scientists in various modules. Mathematical contents, such as angle sentences or matrix calculations, are applied which the students may already know from class. In addition to content competences, process-related competences in particular are promoted in the workshops. This includes problem solving and modeling, but also communication and argumentation as well as the use of tools (e.g. e-learning units, MATLAB, GeoGebra). For this purpose, the pupils work interactively in small groups on the problem and acquire the knowledge and the solutions themselves in the action-oriented modules.

The following workshops are available:

  Topic At least grade Previous knowledge Possible contents
Animated movies 11 concept of functions, interpolation interpolation
Computer tomography 11 Straight lines in R2, calculation of intersections Inverse  problems, parameter representation of straight lines and planes, matrices
Data compression



concept of functions

vectors, matrices

functional equations, trigonometric functions

matrices, vectors and their multiplication

Evolution 8 relative frequency, arithmetic mean, median, proportionality Handling of data, distance measurement, transition matrices and stochastic processes, clustering methods, metrics
Fitness tracker 9 concept of functions functional equations, trigonometric functions
Google 10 systems of linear equations probability concept, limit value, transition matrices
GPS 10 system of equations systems of equations, tangent equations in three-dimensional space, compensation calculation
Climate change 10 concept of function, differential calculus, arithmetic mean linear regression analysis, coefficient of determination, hypothesis tests
Artificial Intelligence 10 vectors vectors, scalar product, distance point straight/plane
Shazam 9 concept of functions functional equations, trigonometric functions
Solar energie



angle pairs

geometry, trigonometry, angle relations in triangles

integration, optimization

Social networks 7 First experiences with Boxplots relative frequency, arithmetic mean, median, span, quartile distance, box plots



Sources of the images:

Animated movies
Computer tomography
Data compression
Fitness tracker
Climate change
Artifical intelligence
Solar energie
Social networks