Courses

Compulsory Modules (100 ECTS-Credits)

Compulsory Module 1: Linear Algebra (10 ECTS-Credits; 7 h)

Prerequisites for registration: none

Learning Outcome: Graduates of this Module understand the contents of the lecture and are able to repeat and apply them. They have the skills to independently elaborate similar contents. They are able to apply the most important concepts of linear algebra situation-specifically. They have basic understanding of mathematical thinking.

Compulsory Module 2: Algebra and Discrete Mathematics (10 ECTS-Credits; 7 h) (no courses)

Prerequisites for registration: none

Learning Outcome: Students understand the contents of the lecture and are able to repeat and apply them. They have the skills to independently elaborate similar contents. They are able to apply the most important concepts of algebra and discrete mathematics situation-specifically. They have basic knowledge of the methods of algebra and discrete mathematics.

Compulsory Module 3: Analysis 1 (10 ECTS-Credits; 7 h)

Prerequisites for registration: none

Learning Outcome: Students understand the contents of the lecture and are able to repeat and apply them. They have the skills to independently elaborate similar contents. They are able to apply the most important concepts of analysis situation-specifically. They have basic knowledge of the methods of analysis in a variable.

Compulsory Module 4: Mathematical Working and Occupational Profile (2,5 ECTS-Credits; 3 h)

Prerequisites for registration: none

Learning Outcome: Graduates of this Module have the skills to use selected mathematical software and to implement simple algorithms and linear algebra in a selected programming language. They are able to independently implement criteria of mathematical contents and formal shaping in a text. They know the occupation profile of a maths teacher in secondary schools and have an overview of the topics gender as well as of their study programme.

Compulsory Module 5: Mathematical Software 2 (2.5 ECTS-Credits; 2 h)

Prerequisites for registration: none

Learning Outcome: Graduates of this Module have advanced skills in the use of selected mathematical software. They are able to implement simple algorithms of analysis in a selected programming language and are able to independently implement advanced criteria of mathematical contents and formal shaping in a text.

Compulsory Module 6: Stochastics (10 ECTS-Credits; 7 h) (no courses)

Prerequisites for registration: none

Learning Outcome: Graduates of this Module understand the contents of the lecture and are able to repeat and apply them. They have the skills to independently elaborate similar contents. They are able to apply the most important concepts of stochastics situation-specifically. They have basic knowledge of the methods of stochastics.

Compulsory Module 7: Geometry (10 ECTS-Credits; 7 h) (no courses)

Prerequisites for registration: none

Learning Outcome: Graduates of this Module understand the contents of the lecture and are able to repeat and apply them. They have the skills to independently elaborate similar contents. They are able to apply the most important concepts of geometry situation-specifically. They have basic knowledge of the methods of geometry.

Compulsory Module 8: Analysis 2 for Prospective Teachers (10 ECTS-Credits; 7 h) (no courses)

Prerequisites for registration: none

Learning Outcome: Graduates of this Module understand the contents of the lecture and are able to repeat and apply them. They have the skills to independently elaborate similar contents. They are able to apply the most important concepts situation-specifically. They have basic knowledge of the methods of analysis.

Compulsory Module 9: Analysis and Stochastics at School (2.5 ECTS-Credits; 2 h) (no courses)

Prerequisites for registration: successful completion of the Compulsory Modules 3 and 6

Learning Outcome: Graduates of this Module are able to independently and correctly plan teaching lessons in analysis and stochastics. They are able to critically use the schoolbooks for secondary schools.

Compulsory Module 10: Algebra and Geometry at School (2.5 ECTS-Credits; 2 h) (no courses)

Prerequisites for registration: successful completion of the Compulsory Modules 1, 2 and 7

Learning Outcome: Graduates of this Module are able to independently and correctly plan teaching lessons in algebra and geometry. They are able to critically use the schoolbooks for secondary schools.

Compulsory Module 11: History and Philosophy of Mathematics 1 (2.5 ECTS-Credits; 2 h) (no courses)

Prerequisites for registration: none

Learning Outcome: Graduates of this Module understand the contents of the lecture and are able to repeat and apply them. They have the skills to independently elaborate similar contents. They are able to apply the most important concepts situation-specifically. They have basic knowledge of the methods of history and philosophy of mathematics.

Compulsory Module 12: Bachelor's Thesis (7.5 ECTS-Credits; 2 h) (no courses)

Prerequisites for registration: successful completion of the Compulsory Modules 1, 2, 3, 6, 7, 13 and 14

Learning Outcome: Graduates of this module are able to deal with a sub-discipline of mathematics in a methodically correct manner with a clear link to school teaching and to demonstrate the result of this examination in writing and orally in a comprehensible way.

Compulsory Module 13: Didactics of Mathematics 1 (5 ECTS-Credits; 3 h) (no courses)

Prerequisites for registration: none

Learning Outcome: Graduates of this Module understand the contents of the lecture and are able to repeat and apply them. They have the skills to independently elaborate similar contents. They are able to apply the most important concepts of geometry situation-specifically. They have basic knowledge of the concepts of didactics of mathematics.

Compulsory Module 14: Didactics of Mathematics 2 (5 ECTS-Credits; 3 h) (no courses)

Prerequisites for registration: none

Learning Outcome: Graduates of this Module understand the contents of the lecture and are able to repeat and apply them. They have acquired the skills to independently elaborate similar contents. They have in-depth understanding of the concepts of didactics of mathematics.

Compulsory Module 15: Seminar Subject Didactics (5 ECTS-Credits; 3 h) (no courses)

Prerequisites for registration: successful completion of the Compulsory Modules 1, 2, 3, 6 and 13

Learning Outcome: Graduates of this Module are able to deal with selected mathematical contents of school teaching and to impart knowledge situation-specifically. In this context, they especially implement subject-didactical concepts.

Compulsory Module 16: Subject Related Practical Course (5 ECTS-Credits; 1 h) (no courses)

Prerequisites for registration: successful completion of the Compulsory Modules 1, 2, 3, 6 and 13

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).

Booking periods for courses