LFU:online

Prerequisites for registration: none

Learning Outcome: Having successfully completed this module, students are able to actively participate in the discussion of the current state of knowledge in the area of the dissertation topic and can critically reflect on and discuss issues with experts in the chosen special discipline of chemistry.

Prerequisites for registration: successful completion of compulsory module 1

Learning Outcome: Students develop their own research results, present an Auditorium and develop them further in scientific discourse.

Prerequisites for registration: none

Learning Outcome: The students have knowledge needed for the completion of the dissertation.

Prerequisites for registration: none

Learning Outcome: Students of this module have acquired the ability to use selected mathematical software and to implement simple mathematic algorithms into selected software language. They have learned how to transfer criteria into mathematical content and formal design in a text. Furthermore, they know the occupational profile of mathematicians and have gained an overview of the topic of equality and gender as well as of their study programme.

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 produce similar content for themselves. With the help of software they can illustrate problems of Descriptive Geometry and also apply them appropriately. Moreover, they have acquired a basic understanding of the methods of Geometry.

Prerequisites for registration: none

Learning Outcome: Students completing this module can deal methodologically correctly with an area of mathematics and present the results in both written and oral forms that are easy to understand.

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.

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.

Prerequisites for registration: none

Learning Outcome: Having successfully completed this module, students are able to discuss the current state of knowledge in the area of the dissertation and can critically reflect on and discuss issues with experts of the chosen sub discipline. On this basis, they are able to make their own contributions to research. Likewise the students have interface knowledge at a high professional level which is needed for the implementation of the dissertation.

Prerequisites for registration: none

Learning Outcome: Having successfully completed this module, students are able to discuss the current state of knowledge in the area of the dissertation and can critically reflect on and discuss issues with experts of the chosen sub discipline. On this basis, they are able to make their own contributions to research. Likewise the students have interface knowledge at a high professional level which is needed for the implementation of the dissertation.

Prerequisites for registration: none

Learning Outcome: Having successfully completed this module, students are able to actively participate in the discussion of the current state of knowledge in the area of the dissertation topic and can critically reflect on and discuss issues with experts of the chosen partial discipline. On this basis, they are able to make their own contributions to research.Likewise the students have interface knowledge at a high professional level which is needed for the implementation of the dissertation.

Prerequisites for registration: none

Learning Outcome: Die Studierenden erwerben ein tiefgehendes Verständnis für Learning-Umgebungen zur Behandlung von Data-Science-Aufgaben. Sie können mathematische Konzepte anwenden, um grundlegende Methoden des Data Science zu entwickeln und zu analysieren. Darüber hinaus haben sie einen Überblick über Erweiterungen solcher Methoden und deren Anwendungen. Die Studierenden können grundlegende Data-Science-Aufgaben mit einem geeigneten Softwaresystem wie etwa R oder Python ausführen, beispielsweise importieren, reinigen/transformieren, visualisieren und modellieren von Daten unter Verwendung grundlegender Werkzeuge. Sie können Zwischen- und Endergebnisse von Data-Science-Projekten sowohl gegenüber Fachexpertinnen und -experten als auch Endbenutzerinnen und -benutzern kommunizieren, beispielsweise in Form eines schriftlichen Berichts, von Präsentationsfolien, einer Web-App oder als Dashboard. Studierende können Daten verschiedenen Typs (numerisch, kategorial, räumlich und zeitlich) aus unterschiedlichen Quellen (Einzeldateien, Datenbanken, webbasierte Formate) zusammenführen und zusammenfassen, um sie anschließend mittels Data-Science-Methoden zu analysieren.

Prerequisites for registration: successful completion of compulsory module 1

Learning Outcome: Students are acquainted with the practice of scientific writing as well as the publication and review process. They are able to present their research results in plenary and to subject the results to a critical evaluation.