Content, progress and pedagogy of the module

Learning objectives

Knowledge

• are able to explain important research-oriented notions, results and theories connected to a central mathematical subject area
• can relate such results to application(s) outside the subject area
• are able to understand and on a scientific level reflect on knowledge about the mathematical subject area

Skills

• are able to apply a number of research-oriented methods and tools from a specific mathematical subject area 
• can assess whether a specific result is valid and/or whether a specific method can be applied under prescribed circumstances
• are able to form a mathematical model describing a problem amenable to a mathematical investigation and to perform a mathematical analysis that sheds light on the initiating problem
• can independently select adequate mathematical methods and tools that help treating certain questions amenable to a mathematical investigation 
• are able to ponder about the applicability range of mathematical tools

Competences

• are able to navigate and to develop independently in work situations that are not structured beforehand
• can participate in collaboration with peers, both inside and outside of mathematics, in the treatment of problems of a mathematical nature
• can communicate mathematical problems and strategies leading to solutions to peers inside and outside of mathematics

Type of instruction

Projekt work including PBL elements.

Extent and expected workload

The extent of the module is 30 ECTS equivalent to a workload of 900 hours.

Exam

Exams