The Bachelor's and Master's degree programmes are divided into modules. A module consists of one or more self-contained classes which are coordinated with regard to their subject matter and timing (e.g. lectures, example classes, seminars etc.) and include periods of private study. In general, modules are completed by a module examination. In Mathematics, usually, module examinations are given as oral examinations.

For every passed module, credit points (CP) are awarded which correspond to the approximate amount of time that the students generally require for successfully completing the module (incl. attendance of the module's classes, the preparation and follow-up of the teaching content, the completion of coursework which may be necessary, the preparation for examinations, and the sitting of the module examination). The benchmarks for the allocation of credit points shall comply with the European Credit Transfer and Accumulation System (ECTS). One credit point (CP) corresponds to work that requires a workload of approximately 30 hours, allowing for a workload of 900 hours on average per semester. To complete one of our M.Sc. programmes, at least 120 CP are required.

An oral exam lasts between 20 and 45 minutes depending on the number of credit points to be earned. There are usually three people present in the exam: the student, the examiner and an observer (Beisitzer), who writes a protocol. Usually, examiners are the lecturers of the lectures that are subject of the examination. After the exam, the student is asked to wait outside of the room so that the examiner can fix a grade (if necessary, after hearing the observer). This grade will be communicated to the student immediately. The following grades are possible: 1.0, 1.3, 1.7, 2.0, 2.3, 2.7, 3.0, 3.3, 3.7, 4.0, and 5.0. The grade 5.0 means that the examination is not passed.

As a rule, oral examinations can only be taken in predetermined periods, which extend from the end of the lecture period until the beginning of the following lecture period. At least three weeks before the start of the lecture-free period, each lecturer will set some dates at which she or he will offer oral examinations. These days will be visible in the Examinations Administration System (PVS) of the Department of Mathematics.

After the third Master's semester or in particular cases (e.g. in connection with studying abroad) oral examinations can also be taken during the lecture period.

The application procedure is explained in detail on the info page of the Mathematics' Examinations Office.

Passed examinations cannot be repeated!

Failed module examinations may be repeated twice, whereby the first resit must be taken within two and the second resit within four consecutive examination periods.

A list of the seminars offered for the Master's programmes can be found in the KIS system. The seminars for the next following semester are typically visible at the end of the lecture period of the current semester. A short presentation of the seminars usually takes place as part of the information events of the respective areas of specialisation ("Infoveranstaltungen der Lehr- und Forschungsschwerpunkte") in the last two weeks of the lecture period. The registration modalities are announced in good time either in KIS, on the notice board or on the homepage of the lecturers. The mentor for your area of specialisation can help you to select suitable seminars.