# Modules

# Modules

Subjects offered this semester

The degree course is made up of modules. These are courses on one or more related themes, which last for either one or two semesters. Each module comes equipped with certain goals, which must be attained, if the module is to be successfully completed. There are credit points for successfully completed modules, whose number reflects the effort involved. The effort is made up of preparation time, presence time and the time needed to revise the material.

Guidelines for credit points:

- 1 credit point corresponds to 30 hours of work
- The recommended number of credit points per semester for a full-time student is 30
- The Bachelors course requires 180 credit points
- The Masters course requires 90 credit points

Modules are divided into

- Compulsory modules: compulsory for all students
- Semi-compulsory modules, to be chosen from a prescribed group of modules
- Optional modules, to be freely chosen from the modules offered by a subject or group of subjects

## Types of module

Lecture courses: A module "Vorlesung/höhere Vorlesung" consists of a 4 hour per week lecture course with 2 hours per week of associated exercise classes. Exercises are normally handed out once a week, and discussed during the exercise classes. These modules do not have marked examinations. The basic lectures in Linear Algebra and Analysis are an exception to this; they end with examinations.

Study and examination units: A study and examination unit consists of the study and assimilation of an area of mathematics corresponding in amount to a 4 hour lecture course. The material can be covered in individual study, or by attending lectures. These units are completedwith an examination. 5 study and examination units must be completed during these Bachelors course.

Seminars: The students are trained to learn a new subject for themselves, and to give a lecture on it.

Extension to Analysis I, II and Linear Algebra I, II: The lecturer determines the precise form of these units. The exensions are never an integral part of the modules Analysis I, II and Linear Algebra I, II, since the latter can be offered by students taking mathematics as a minor subject, without taking the extensions.

Practical classes: The practical classes are an introduction to applied mathematics. Here, the students become acquainted with the basic mathematical algorithms, and with their implementation in computer programs.

Masters thesis. The Masters thesis is an essential part of the Masters degree, and carries corresponding weight. A substantial aspect of an area of mathematics is to be treated, under the guidance of an assistant and of the professor in charge.

The criteria for obtaining credit points are published in the annotated lecture list.

Registration: Bachelors and Masters students must register each semester for all the modules that they attend. Registration takes place in the first 3 weeks of the teaching semester. The precise details of how to register are published on this webpage, and are also announced in the lectures.