Field of study Mathematics, Natural Sciences

The natural sciences observe, describe and research the relationships between natural laws. To this end, scientists carry out experiments or develop models and theories based on the results.

Photo: Bundesagentur für Arbeit / Axel Jusseit
Mathematische Formeln an einer Tafel.

Natural scientists are primarily involved in basic research. In turn, practice-oriented areas such as medicine, agriculture or technology build on this (see section 3.3.1 ‘Applied natural sciences’).

The natural sciences, which are primarily concerned with inanimate nature or matter, include physics, chemistry, geology and astronomy. Phenomena of animate nature or matter are investigated by the biological sciences: Biology, genetics, anthropology, physiology.

The most important auxiliary discipline for the natural sciences is mathematics. It deals with problems that can be represented by numbers and geometric figures and with the formal structures and systems derived from them. Mathematics and the natural sciences form the basis for the engineering sciences.

The methods used by natural scientists are observation, description, comparison, classification, summarisation and measurement. They develop hypotheses, models and theories from the data obtained in this way. The prerequisites for a STEM degree programme (mathematics, computer science, natural sciences and technology) are therefore logical thinking skills and a love of exploring and investigating. As the language of science is English, a good knowledge of the language is a prerequisite for a successful degree programme and is even required for admission at some universities.

Many universities offer preliminary courses in chemistry, maths, computer science or physics to give first-year students an insight into how things work during their studies and to close any gaps in their knowledge. The student counselling centres at the universities provide information about these courses.

Note:

Information on teacher training programmes can be found in chapter 3.10 ‘Teacher training in the federal states’.

Video: Study natural sciences

Sub-fields of study in mathematics, natural sciences

  • Applied natural sciences

    How can maths, physics, chemistry, biology or computer science advance technological or medical development? This is the question that…read more »
  • Biosciences, environmental sciences

    Biology describes and analyses the manifestations of all living organisms and their complex interactions. Environmental science, on the…read more »
  • Chemistry, Pharmacy

    When industry develops new plastics, pesticides or medicines, the basic principles come from chemical-pharmaceutical research. Classical…read more »
  • Geosciences, geotechnology

    The geosciences are dedicated to our planet Earth, its formation and the nature of its surface. How these geological resources can be used…read more »
  • Computer science

    Computer science is both a basic science and an engineering discipline. It provides the theoretical and methodological prerequisites with…read more »
  • Mathematics, Statistics

    For more than 2,500 years, mathematics has provided mankind with computational models to make the world comprehensible. It is divided into…read more »
  • Physics

    From gravity to electromagnetism and sound: these are all phenomena that are based on the laws of physics. Physics enables us to better…read more »
Stand: 09.07.2025