What are the Applications of Computational Mathematics

New course in computer mathematics

from winter semester 2003/04



Normal period

9 semesters

Start of studies

WS (recommended), SS

Short description

In addition to the basic mathematical training, the development and implementation of algorithmic processes in the areas of numerics, optimization and computer algebra is an integral part of the course. In addition, there is an additional application component, both through mathematical modeling and through the minor. The mathematical basic lectures are supported by computer internships as a didactic aid.


No special formal requirements besides the Abitur. Desirable: Enthusiasm for mathematical questions and enjoyment of using the computer. We recommend attending at least one advanced course in mathematics or computer science. Special attention is drawn to the preparatory course in mathematics.

Structure of the course

Undergraduate studies

The basic course comprises around 85 hours per week, spread over four semesters, consisting of lectures, exercises and internships. Proof of achievement and examinations must be provided for the following subjects: Analysis, linear algebra and (computer) algebra, modeling and simulation, numerics and stochastics, introduction to computer science and programming, algorithms and data structures, as well as accompanying internships. The minor lectures usually only start in the third semester.

Main course

The main course can largely be designed freely by the student, apart from a few compulsory lectures (Analysis IV, Computer Algebra II and databases). The mathematical lectures, exercises and seminars are selected from the areas of pure mathematics, applied mathematics and a specialization area. As part of a joint project, a task is processed which ranges from the problem definition, its mathematization, algorithmization, computer implementation and documentation to the presentation of the results. There are also events from the minor.

Minor subjects

Possible minor subjects are electrical engineering, CES (Computational Engineering Science), civil engineering, computer science and physics. Other areas can be approved upon request. The minor is used to learn the language and ways of thinking of other sciences and is intended to concretise the possible applications of computer mathematics.



The computer mathematics course moves in the triangle of mathematics, computer science and applications. This interdisciplinary orientation offers the advantage of early contact with users. The inclusion of the computer as an aid for the mathematician and the modeling component are geared towards practical requirements. As a motivating aid in internalizing mathematics, the accompanying internships are particularly important at the beginning.

Study abroad offers

E.g .: Socrates programs with University of York, U Nottingham, Queen Mary and Westfield College U London, Canterbury Kent, U Birmingham, U College Dublin, U Helsinki, U Joensuu, Paris VI (Jaissieux), U Amiens, U Perugia, U Roma, U Autónoma de Madrid, Villa Real, U Coimbra, U Aveiro

Occupational fields

The graduates of computer mathematics can be employed in a wide variety of fields and industries. These are largely similar to the typical areas of application of graduate mathematicians and z. Some of them are also qualified computer scientists. Examples are: general large-scale industry, banks and insurance companies, but also consulting companies, telecommunications companies, software houses. The computer mathematician has very good career prospects both in the short term due to the strong need for qualified IT specialists and in the long term due to the industry independence of the course. The favorable starting position of general mathematicians, which has manifested itself in an undersupplied market for years, is further improved by the computer components and should have a positive effect, especially for young professionals.

Academic advisor

Dr. Alfred Wagner
Consultation room:
Main building, room 118
Templergraben 55, 52062 Aachen
Office hours:
Wednesday 4:00 p.m. - 6:00 p.m.
Telephone: 0241/80 93 959
Email: [email protected]