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 understand the content of the lectures and they can reproduce and implement them. They have acquired the ability to work out similar content on their own. They can apply the most advanced concepts of Linear Algebra and Analytical Geometry and can apply them appropriately. Furthermore, they have gained an in-depth understanding of the methods of Linear Algebra and Analytical Geometry.

Prerequisites for registration: none

Learning Outcome: Students of this module understand the content of the lectures and they can reproduce and implement them. They have acquired the ability to work out similar content on their own. They can apply the most advanced concepts of Analysis appropriately. Furthermore, they have gained an in-depth understanding of the methods of Analysis.

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 concepts of probability theory and stochastics. Furthermore, they have gained a basic understanding of how stochastics 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 can apply appropriately simple methods of Topology and Analysis. Moreover they have also acquired a basic understanding of the methods of Topology and Functional Analysis.

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 apply appropriately simple methods of Discrete Mathematics. Moreover, they have also acquired a basic understanding of the methods of Discrete 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 implement advanced methods of Numerical Mathematics appropriately and can use and demonstrate them with MATLAB. Moreover, they have acquired an in-depth 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 this. They have acquired the ability to work out similar content for themselves. They can use advanced methods of Algebra appropriately. Furthermore, they have acquired an in-depth understanding of the methods of Algebra.

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 are able to abstract, to model and to analyse simple problems from various applications of mathematics and to apply appropriate solution procedures. Moreover, they have gained a basic understanding of mathematical modelling.

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 by themselves. They can identify optimisation problems in applications and transfer them into a mathematical formula and implement the corresponding algorithms and solution procedures appropriately. Moreover, they should have gained a fundamental understanding of the methods of mathematical optimisation.

Prerequisites for registration: none

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

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.