• 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 (maximum of 15 points each)
• 1 optional extra test (maximum of 15 points), replaces the one of the three previous test results with the fewest points
  
• homework assignments + presentation of solutions in class (extra points)

The written tests will be strongly related to the problems already discussed in class. At least one of the test results has to be 8 points or more.

Grading key:
points >= 41: 1
points >= 35: 2
points >= 29: 3
points >= 23: 4
points  <  23: 5