Overview

Mathematics, Statistics

For more than 2,500 years of human history, mathematics has provided mathematical models to make the world understandable. It is divided into the two main areas: Pure and Applied Mathematics.

The study field at a glance

The aim of the study of mathematics is to learn and master mathematical concepts and methods. The ability to abstract structural thinking is therefore a prerequisite for the study and the profession of the mathematician.
The readiness for interdisciplinary cooperation is of equal importance, which is already taken into account during the study by the compulsory choice of a minor subject. Depending on the location, the chosen minor or specialist subject usually comes from a field of natural or engineering sciences, economics or computer science. A first decision for the subsequent occupational field is connected with it. The choice of other minor subjects is not excluded in many locations.

Offered courses

The main areas of Pure Mathematics are Algebra, Analysis, Geometry, Topology and Number Theory. Pure mathematics deals with abstract structures and their inner relationships, while endeavoring to derive the greatest possible wealth of statements from a few assumptions.

  • The aim of the department of applied mathematics is to provide a toolbox for dealing with questions from natural and engineering sciences, medicine as well as economics and social sciences with quantitative methods. Her main areas are numerics, optimization and stochastics.
  • An important task of the statistics lies in the planning, execution and evaluation of extensive investigations and experiments. From the available number and measurement data, connections between theories and the practice can be determined. Statistical conclusions are based on sometimes elaborate mathematical and computational techniques. In many sciences (medicine, biology and other sciences, economics and engineering, psychology, sociology, archeology, education, environmental protection) statistical methods are indispensable.
  • Mathematics has also developed business mathematics and technomathematics. Business Mathematics has found tasks in almost all sectors, mainly in insurance and finance. The computer-aided development of mathematical models for the solution of technical problems and their evaluation is the task of technomathematics.
  • Applied Systems Science focuses on mathematical models for environmental protection / ecology.
  • Biomathematics has special knowledge in various disciplines of biology as well as the necessary basic knowledge from other natural sciences. They formulate biological or medical questions in the language of mathematics and use or develop models and methods for solving them.

Contents of the course

On the basis of sound school knowledge in mathematics, the bachelor's program teaches the mathematical basis in the areas of analysis (differential and integral equations, function theory, integration theory), linear algebra and analytic geometry, applied mathematics / stochastics (probability and statistics, modeling), numerics and optimization , In addition, modules are offered for the selected technical, scientific, medical or economic application areas. In addition, there are the acquisition of different methods and working techniques, fundamentals of computer science and the use of professional software as well as the learning of higher-level programming languages, including "computing internships".

In the master's program a profile formation occurs, e.g. in pure mathematics or in various application fields, such as techno- or business mathematics.

The statistics study covers the subjects of statistics, mathematics, computer science and one or more fields of application. Module offerings are: Introduction and Fundamentals, Linear Methods and Models, Mathematical Statistics and Probability Theory, Core Areas of Applied Statistics (Multivariate Methods, Generalized Regression, Experimental Design and Sampling Theory), Practical Statistics with Project or Case Studies, Mathematical Modules for Analysis, Vector and Matrix Calculations , Numerics and logic; in the field of computer science module offers for data analysis, programming, software development, database and information systems as well as statistics software. Project studies and internships take place in application areas, such as insurance statistics, asset management, social research, biometrics, psychometrics, geosciences and meteorology, engineering, environmental and agricultural sciences, biostatistics or drug research.

Admission criteria & study application

Only rarely are bachelor's degree programs in mathematics subject to admission restrictions. In most cases, prospective students have to decide in addition to mathematics for a major or minor subject.

Possible careers after graduation

Mathematicians work predominantly in companies in the insurance and banking industry, in manufacturers of data processing technology, software companies as well as in management consultancy and market research institutes. As business mathematicians (and after training as actuaries), they work for insurance companies, banks, building societies or professional care institutions.

In the course of technological development, new fields of activity arise in areas such as biotechnology or medical technology. In addition, there are job opportunities in the public sector, in particular at statistical offices and authorities as well as at universities.

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