Die Unterrichtssprache dieser Lehrveranstaltung ist Deutsch. Sämtliche LV-Unterlagen (Folien, Übungsaufgaben) sind jedoch auf Englisch.

The course will be held in German. However, the course materials (slides, exercise sheets) will be in English.

The course covers the following topics:

• Basic mathematical vocabulary: Definition, Theorem, Proof,...
• Sums and Products
• Sets
• Logic
  
• Techniques of proof
  
• Functions
• sup, inf, max, min
• Sequences (convergence)

After completing this class the student will have the ability to:

• Understand and use fundamental mathematical vocabulary.
• Recognize and describe different proof techniques and apply them to simple problems.
• Define and explain several mathematical concepts (e.g. function, sequences, convergence etc.) and give examples.
• Analyse and structure (mathematical) problems.
• Read and comprehend simple mathematical texts.
• Present and communicate mathematical problems and their solutions.

Apart from that, the class will contribute to the ability to:

• Participate in group discussions/team work.

The purpose of the class is to give an introduction to basic mathematical concepts and methods as a preparation for the mathematics lectures of the Master in Quantitative Finance curriculum.

The class is mainly taught as a combination of lectures and exercises with homework assignments. Students present their solutions which will be discussed in the group.

• 3 written tests
• homework assignments
• class participation

The written tests will be strongly related to the problems already discussed in class.The assessment of the homework assignments will be based on the quality of the results and the recognizable effort made.The forms of class participation on which students will be assessed are discussion and presentation of their results.