Lear to solve and present concrete exercises related to the above mentioned topics, get accquainted with the material of the course by doing.

Traditional exercises accompagning the lecture. Exercises illustrate and extend the material of the course. We try to solve exercises related to the following topics: Events, relative frequencies, probability spaces, conditional probability, Laplacian probability, random variables and distribution functions, expectations and moments, kernels and transition probabilities, independent sigma algebras and random variables, special one- and higher-dimensional distributions, convolution, conditional expectation, zero-one laws, law of large numbers, characteristc functions, central limit theorem.

Exercises are to be prepared and presented at the blackboard. The number of solved exercises, quality of solution and presentation is considered.

Bauer: Wahrscheinlichkeitstheorie Feller: An introduction to probability theory and its applications (2 vols) Krengel: Einführung in die Wahrscheinlichkeitstheorie und Statistik Rényi: Wahrscheinlichkeitsrechnung Loève: Probability theory Pfanzagl: Elementare Wahrscheinlichkeitstheorie Neveu: Mathematische Grundlagen der Wahrscheinlichkeitstheorie