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 # DuMu<sup>x</sup> course exercises
 
-Click on the exercise to go the description
-
-* [Exercise on the basics](./exercise-basic/README.md)
-* [Exercise on the main file](./exercise-mainfile/README.md)
-* [Exercise on runtime parameters](./exercise-runtimeparams/README.md)
-* [Exercise on grids](./exercise-grids/README.md)
-* [Exercise on properties](./exercise-properties/README.md)
-* [Exercise on fluid systems](./exercise-fluidsystem/README.md)
-* [Exercise on how to create a new Dune module](./exercise-dunemodule/README.md)
-* [Exercise on coupling free and porous medium flow (SFB PA A)](./exercise-coupling-ff-pm/README.md)
-* [Exercise on discrete fracture modelling (SFB PA B)](./exercise-fractures/README.md)
-* [Exercise on biomineralization (SFB PA C)](./exercise-biomineralization/README.md)
+The DuMu<sup>x</sup> course comprises the following exercises. Each exercise folder contains a detailed description of the tasks
+(best viewed online by following the links) and the source files to work on.
+
+### [:open_file_folder: Basics](./exercise-basic/README.md)
+
+Based on a scenario where gas is injected into an aquifer, you learn how to
+
+* compile and run an executable,
+* see the difference of an immiscible two-phase model compared to a two-phase two-component model,
+* set up a new executable,
+* set up a non-isothermal test problem based on the isothermal test problem,
+* set boundary conditions.
+
+### [:open_file_folder: Main file](./exercise-mainfile/README.md)
+
+In this exercise, you learn how to
+
+* find your way in the main file,
+* solve a stationary, linear system,
+* solve an instationary, linear system,
+* solve an instationary, nonlinear system,
+* apply analytic differentiation.
+
+### [:open_file_folder: Runtime parameters](./exercise-runtimeparams/README.md)
+
+This exercise covers the following topics: You learn how to
+
+* use different input files with one executable,
+* set variables to collect runtime parameters,
+* use and change default values for runtime parameters.
+
+### [:open_file_folder: Grids](./exercise-grids/README.md)
+
+This exercise guides you through the following tasks:
+
+* Apply a global grid refinement,
+* change the grid type,
+* apply grid zoning and grading,
+* read in structured and unstructured grids from external files.
+
+### [:open_file_folder: Properties](./exercise-properties/README.md)
+
+In this exercise, you learn how to adjust the properties in order to use a customized local residual.
+
+### [:open_file_folder: Fluid systems](./exercise-fluidsystem/README.md)
+
+This exercise covers the handling of phases and components in DuMu<sup>x</sup>. You learn
+
+* how to implement and use a new, customized component,
+* how to implement a new fluidsystem,
+* and how to change the wettability of the porous medium.
+
+### [:open_file_folder: Dune module](./exercise-dunemodule/README.md)
+
+You learn how to
+
+* create a new dune module which depends on the dumux module,
+* create a new GitLab project.
+
+### [:open_file_folder: Coupling free and porous medium flow](./exercise-coupling-ff-pm/README.md)
+
+This exercise is related to the [SFB1313 Project Area A](https://www.sfb1313.uni-stuttgart.de/research-areas/)
+
+You learn how to
+
+* use a coupled problem set-up,
+* change coupling conditions between the two domains, porous-medium flow and free flow,
+* change the shape of the interface between the two domains,
+* change the model in the porous-medium domain,
+* change the model in the free-flow domain.
+
+### [:open_file_folder: Discrete fracture modeling](./exercise-fractures/README.md)
+
+This exercise is related to the [SFB1313 Project Area B](https://www.sfb1313.uni-stuttgart.de/research-areas/)
+
+You learn how to
+
+* use a problem containing embedded, discrete fractures,
+* change the properties of the fractures,
+* use domain markers to set internal boundary conditions.
+
+### [:open_file_folder: Biomineralization](./exercise-biomineralization/README.md)
+
+This exercise is related to the [SFB1313 Project Area C](https://www.sfb1313.uni-stuttgart.de/research-areas/)
+
+You learn how to
+
+* include a chemical reaction in the problem setup,
+* apply the mineralization model, i.e. add balance equations to describe dynamic solid phases.
+* compare different simulation results using a programmable filter in Paraview
+