LFU:online

Prerequisites for registration: none

Learning Outcome: Students of this module understand the content of the lectures and they can reproduce and apply them. They have acquired the ability to work out similar content on their own. They can apply the most important concepts of Linear Algebra as appropriate. Furthermore they have gained a basic understanding of how mathematics works.

Prerequisites for registration: none

Learning Outcome: Students of this module understand the content of the lectures and they can reproduce and apply them. They have acquired the ability to work out similar content on their own. They can apply the most important concepts of Analysis as appropriate. Furthermore, they have gained a basic understanding of how mathematics works.

Prerequisites for registration: none

Learning Outcome: Students of this module can reproduce important basic calculation methods and have acquired simple mathematical problems and to solve and transfer the calculation procedures to similar content. Moreover, they have gained a basic understanding of the way mathematics works.

Prerequisites for registration: none

Learning Outcome: Students of this module have acquired the ability to use selected mathematical software and to implement simple mathematic algorithms into selected software language. They have learned how to transfer criteria into mathematical content and formal design in a text. Furthermore, they know the occupational profile of mathematicians and have gained an overview of the topic of equality and gender as well as of their study programme.

Prerequisites for registration: none

Learning Outcome: Students of this module understand the content of the lectures and they can reproduce and apply it. They have acquired the ability to work out similar content on their own. They can apply simple concepts of Algebra appropriately. Furthermore, they have gained a basic understanding of how Algebra works.

Prerequisites for registration: none

Learning Outcome: Students completing this module understand the content of this lecture and they can reproduce and apply this. They have acquired the ability to work out similar content on their own. They are able to implement advanced methods of analysis appropriately. They have also acquired a basic understanding of the theory of ordinary differential equations and of the theory of functions.

Prerequisites for registration: none

Learning Outcome: Students of this module understand the content of the lectures and they can reproduce and apply it. They have acquired the ability to work out similar content on their own. They can apply simple methods of statistics, especially with suitable software. Furthermore, they have acquired a basic understanding of the methods of Statistics.

Prerequisites for registration: none

Learning Outcome: Students of this module understand the content of the lectures and they can reproduce and apply it. They have acquired the ability to apply the basic methods of numerical mathematics on their own. They can apply basic methods of Numerical Mathematics appropriately and can implement and demonstrate them with MATLAB. Moreover, they have acquired a basic understanding of the methods of Numerical Mathematics.

Prerequisites for registration: none

Learning Outcome: Students of this module understand the content of the lectures and they can reproduce and apply it. They have acquired the ability to produce similar content for themselves. They can reproduce solutions to important Partial Differential Equations and can analyse them qualitatively and also implement simple solutions appropriately. Furthermore, they have achieved a fundamental understanding of the theory of Partial Differential Equations.

Prerequisites for registration: none

Learning Outcome: Students of this module understand the content of the lectures and they can reproduce and apply it. They can produce similar content for themselves. With the help of software they can illustrate problems of Descriptive Geometry and also apply them appropriately. Moreover, they have acquired a basic understanding of the methods of Geometry.

Prerequisites for registration: none

Learning Outcome: Students of this module understand the content of the lectures and they can reproduce and apply it. They can produce similar content for themselves. They can also apply appropriately advanced methods of Stochastic Analysis. Furthermore, they have gained an in-depth understanding of the methods of Stochastics.

Prerequisites for registration: none

Learning Outcome: Students completing this module can deal methodologically correctly with a specific area of mathematics and present the results in both written and oral forms.

Prerequisites for registration: none

Learning Outcome: Students completing this module can deal methodologically correctly with an area of mathematics and present the results in both written and oral forms that are easy to understand.

Prerequisites for registration: none

Learning Outcome: Students of this module have been given insights into topic areas that are covered by the content of modules 1-22.