Modul

The assessment in this module consists of

1. a graded certificate of exercise following §4(2), 3 of the examination regulation from the exercises to mathematics I (1 credit) and
2. a written examination of 90 minutes on the lectures mathematics I following §4(2), 1 of the examination regulations (7 credits).

The grade of the module is computed as a weighted sum, where the grade of the written examiniation has a weight of 80% and the certificate a weight of 20%.

Mathematical models are an important part in economical sciences. Therefore, the students need a basic knowledge in mathematics. The aim is the instruction in a comprehension of basic methods in analysis and linear algebra.

The students learn

• to use simple concepts and structures in mathematics;
• to recognize the mathematical structure of practical applications and to solve in simple cases mathematical problems;
• to comprehend the mathematical structure of more complex applications;
• to understand the mathematical basics to develop mathematical models for applications in cooperation with experts;
• to explain as a group member in the tutorial elementary mathematical structures and to stimulate in the discussion of examples the success of the group;
• to be in time for the tutorial group and for the preparation of homeworks;
• to work with basic mathematical literature.

The provides the foundations for

• comprehending the mathematical structure of more complex applications;
• developing mathematical models for applications in cooperation with experts;
• constructing algorithmical solutions of mathematical models for applications in cooperation with experts.

None

The lectures mathematics I and II give an overview in basic mathematical knowledge which is required to understand modern computer science and economical sciences. Part I consist of linear algebra including the basic algebraic structures, vector spaces and linear mappings. Many algebraic concepts are important for computer science. Part II consists of analysis including an introduction into the calculus of functions of one or several variables.

See German version.