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Fourth Semester
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Compulsory Module 12: Analysis 4 (Topology and functional analysis) (7.5 ECTS-Credits, 5 h) (no courses)
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.
Compulsory Module 13: Discrete Mathematics (7.5 ECTS-Credits, 5 h) (no courses)
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.
Compulsory Module 14: Numerical Mathematics 2 (7.5 ECTS-Credits, 5 h) (no courses)
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.
Compulsory Module 15: Algebra 2 (7.5 ECTS-Credits, 5 h) (no courses)
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.

Notes:
  • There may still be changes in the courses offered as well as room allocation and course dates.
  • The course descriptions found in the English version of the course catalogue are for informational purposes only. Authoritative information can be found in the "Vorlesungsverzeichnis" (German version of the course catalogue).