Courses
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Compulsory Module 1: Introduction to Higher Algebra and Discrete Mathematics (7.5 ECTS-Credits, 4 h)
Prerequisites for registration: none
Learning Outcome: Students who have completed that module have gained an overall view over some
current questions of higher algebra and discrete mathematics and the methods to treat these questions. Moreover they have acquired a deepened understanding of the field of algebra and discrete mathematics and are able to analyse and solve typical problems of those areas.
Compulsory Module 2: Introduction to Higher Analysis (7.5 ECTS-Credits, 4 h)
Prerequisites for registration: none
Learning Outcome: Students who have completed that module have gained an overall view over some
current questions of higher analysis and the methods to treat those questions. Moreover they have acquired a deepened understanding of the field of analysis and are able to analyse and solve typical problems of that domain.
Compulsory Module 3: Introduction to Higher Numerical Mathematics (7.5 ECTS-AP, 4 h)
(no courses)
Prerequisites for registration: none
Learning Outcome: Students who have completed that module have gained an overall view over some
current questions of higher numerical analysis and the methods to treat those questions. Moreover they have acquired a deepened understanding of the field of numerical analysis and are able to analyse and solve typical problems of that domain.
Compulsory Module 4: Introduction to Higher Stochastics (7.5 ECTS-Credits, 4 h)
(no courses)
Prerequisites for registration: none
Learning Outcome: Students who have completed that module have gained an overall view over some
current questions of higher stochastics and the methods to treat those questions.
Moreover they have acquired a deepened understanding of the field of stochastics and are able to analyse and solve typical problems of that domain.
Compulsory Module 5: Subject-Specific Fundamentals and Core Competences (15 ECTS-Credits, 8 h)
Prerequisites for registration: none
Learning Outcome: Students who have completed that module have acquired advanced knowledge of
selected topics in higher mathematics. They are able to use that knowledge in order to analyse current problems which are associated with the discussed matters and to develop solutions for them.
Compulsory Module 6: Advanced professional competences (15 ECTS-Credits, 8 h)
Prerequisites for registration: none
Learning Outcome: Students who have completed that module have, based on module 5, acquired deepened knowledge of one or more branches of higher mathematics. They have got to know further current problems and methods for their solution. They are able to develop innovative solutions for problems of those branches of mathematics.
Compulsory Module 7: Particular topics and methods (15 ECTS-Credits, 8 h)
Prerequisites for registration: none
Learning Outcome: Students who have completed that module have acquired particular knowledge of one or more branches of higher mathematics. They are able to develop innovative solutions for current problems of those branches of mathematics as well as to judge different approaches critically. As a result they have developed learning strategies that enable them to acquire further mathematical matters autonomously.
Compulsory Module 8: Research Seminars (10 ECTS-Credits, 4 h)
Prerequisites for registration: none
Learning Outcome: Students who have completed that module have acquired a deepened knowledge of a
branch of higher mathematics by autonomous studies. Moreover they are familiar with
relevant mathematical literature and can judge its mathematical content. They are able to examine problems of higher mathematics in a creative and methodically correct manner and to present the result of those examinations in written form and orally as to be understood well by experts. The contents of the seminars are oriented on current research topics.
Compulsory Module 9: Interdisciplinary Qualifications (5 ECTS-Credits, 4 h)
(no courses)
Prerequisites for registration: none
Learning Outcome: Graduates of that module dispose of theoretical and practical knowledge and skills that in excess of their subject-specific competences help them to prove their value in their future fields of activity. The graduates of the module have gained historical-philosophical knowledge or linguistic and/or social competences, respectively.
Compulsory Module 10: Preparation of the Master's Thesis (7.5 ECTS-Credits)
(no courses)
Prerequisites for registration: none
Learning Outcome: After successful completion of this module, the students will be able to write a brief summary of the content of the planned Master's Thesis (abstract), to outline an anticipated schedule and to conclude a written Master's Thesis agreement.
Agreement on the topic, the scope and the form of the Master's Thesis on the basis of a brief summary of the contents (abstract) as well as agreement on the work processes and the study progress. Planning of an appropriate time frame for the completion of the Master's Thesis.
Compulsory Module 11: Defence of the Master's Thesis (2.5 ECTS-Credits)
(no courses)
Prerequisites for registration: Completion of all the other modules as well as a positive assessment of the Master Thesis.
Learning Outcome: Defense of the Master Thesis finishing the studies.
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).