Every semester
10 Credit points
For information on the duration of the modul, refer to the courses of study in which the module is used.
Non-official translation of the module descriptions. Only the German version is legally binding.
The module introduces the concepts and methods of another area of pure or applied mathematics. Students acquire the necessary subject-specific breadth for in-depth study and recognise connections to other areas of mathematics. Conceptual acuity, precision in proof, a sense for the economy of theorising and an understanding of interrelationships should be acquired and trained. Students become familiar with different mathematical technologies in various fields of application and develop a deeper understanding of axiomatics in mathematics. They are confident in applying the methods of the chosen field and can successfully transfer them to new problems in the chosen field.
In the tutorials, students demonstrate the acquisition of competences in the basic techniques of mathematical work, the ability to apply the methods, presentation and communication skills as well as perseverance as basic mathematical competences. An understanding of the interrelationships and concepts as well as confidence in applying the methods to new problems is demonstrated in the final exam.
By studying this module, students expand their competences beyond those taught in the modules on algebra, geometry and topology, measurement and integration theory, numerics and stochastics as well as in module 24-B-PRO.
Students can choose suitable lectures with tutorials (in connection with lecture/seminar) from the Faculty's regular programme. These build on the subject-specific basis or continue with advanced courses. Examples include
Complex analysis, Elementary Number Theory, Differential Equations, Algebraic Number Theory, Algebraic Topology, Lie Groups, Graph Theory, Differential Geometry, Stochastic Analysis, Functional Analysis, Numerics of Ordinary Differential Equations, Stochastics II, Discrete Mathematics, Fourier Analysis, Analytic Number Theory.
Knowledge of analysis and linear algebra and, if applicable, from courses based on these. The scope depends on the chosen course.
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In this module, students must choose a lecture (in connection with lecture/seminar) with different content than in modules 24-B-PRO and 24-B-SP.
Module structure: 1 SL, 1 bPr 1
| Allocated examiner | Workload | LP2 |
|---|---|---|
|
Teaching staff of the course
Tutorial on the lecture
(exercise)
Regular completion of the exercises on geometry and topology, each with a recognisable solution approach, as well as participation in the exercise groups on geometry and topology (The students regularly contribute to the scientific discussions in the exercise group. In particular, comments and questions on the proposed solutions presented as well as twice-calculating exercises when requested). The organiser may replace some of the exercises with face-to-face exercises. |
see above |
see above
|
In the case of a portfolio with final exam:
Proof of a sufficient number of correctly solved exercises worked on as part of the module's study requirements / credits (usually 50% of the points achievable in the semester for solving the exercises) and passing a final exam in the form of a final written exam (usually 90 min) or a final oral exam (usually 30 min). The final exam relates to the content of the lecture and the tutorial and is used for assessment.
In the case of a written or oral examination:
Written examination of usually 90 minutes or oral examination of usually 30 minutes. The examination relates to the content of the lecture and the tutorial in which the study requirements of the module were completed.
A remote electronic written examination is not permitted as a (final) examination.
| Degree programme | Version | Profile | Recommended start 3 | Duration | Mandatory option 4 |
|---|---|---|---|---|---|
| Mathematical and Theoretical Physics / Master of Science [FsB vom 26.04.2024 mit Änderungen vom 29.05.2024 und 10.12.2024 und der Berichtigung vom 01.04.2025] | Admission Track Profile B | 1. o. 2. | one semester | Compulsory optional subject | |
| Mathematics / Bachelor of Science [FsB vom 30.09.2016 mit Änderung vom 10.12.2024] | Major Subject (Academic) | Strukturierte Ergänzung des fw Bachelor KF | 3. o. 4. o. 5. | one semester | Compulsory optional subject |
| Mathematical Economics / Bachelor of Science [FsB vom 30.09.2016 mit Berichtigung vom 10.01.2017 und Änderungen vom 15.05.2017, 01.03.2018, 01.03.2019, 16.09.2019, 02.03.2020 und 10.12.2024] | Bachelor with One Core Subject (Academic) | Business Administration | 3. o. 4. o. 5. | one semester | Compulsory optional subject |
| Mathematical Economics / Bachelor of Science [FsB vom 30.09.2016 mit Berichtigung vom 10.01.2017 und Änderungen vom 15.05.2017, 01.03.2018, 01.03.2019, 16.09.2019, 02.03.2020 und 10.12.2024] | Bachelor with One Core Subject (Academic) | Political Economy | 3. o. 4. o. 5. | one semester | Compulsory optional subject |
The system can perform an automatic check for completeness for this module.
Mathematical and Theoretical Physics / Master of Science // Admission Track Profile B