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

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.

Since this is a course with an immanent examination character (PI), attendance is mandatory. Students can miss two units without excuse, absenteeism in further units must be excused / justified by email. This applies regardless of the learning mode (presence mode or distance teaching via MS TEAMS).

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.

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andrea.wagner@wu.ac.at