Undergraduate study programme leading to a first degree and providing qualifications and skills for future employment.
The science of mathematics is divided into the two major areas of pure mathematics and applied mathematics.
The main areas of pure mathematics include algebra, analysis, geometry, topology and number theory, while applied mathematics includes numerics, optimisation and stochastics. These areas are oriented around the main research fields (in German) in the department. In pure mathematics you will be concerned with abstract structures and their internal relationships. The aim here is to derive the greatest possible variety of statements from a few assumptions.
In contrast, the aim of applied mathematics is to provide the instruments needed, for instance, to tackle other issues in the natural or engineering sciences, medicine, economics and the social sciences with quantitative methods. During your studies you will learn how to proceed methodically. You will gain insights into theories and be able to locate these within the overall context of mathematics. You will also learn to critically appraise and further develop theories and techniques.
|Degree||Bachelor of Science|
|Programme start||Winter semester|
|Language(s)||Deutsch | Englisch|
|Period of study||6 semesters|
|Application deadline||17.5. – 15.9.|
|⌀ Number of students:||60|
Prospects and opportunities
There is a broad spectrum of work with tasks such as calculating the aerodynamic resistance of a vehicle’s bodywork, or improving the production processes of a software provider. Whilst a bank needs an assessment model for risk management, an insurance company is looking for a market analysis and the evaluation of its own insurance products. By studying mathematics you will acquire the necessary basic methodical qualifications for this, whilst you gain specific specialist knowledge and skills in the various areas of your minor. In the professional world mathematics in the narrower sense often plays a lesser role, whereas the skills, such as the ability to think in abstract terms, to recognise logical relationships and to formulate models gain in importance.
Larger numbers of mathematicians are employed in industry and the commercial sphere, for instance in company development departments and in data processing, in administration departments, insurance companies, banking and the software sector, and in technical and economic service enterprises.
The best thing to do is to start thinking early on about which professional field you would like to work in, and to choose the appropriate classes in a minor that sharpens your individual profile. The majority of students tend to continue their studies before starting their professional career.
To qualify further the University of Konstanz offers the master’s degree in Mathematics.
During the first semesters of the bachelor’s degree you will attend courses (lectures and tutorials) from the modules Analysis, Linear Algebra and Practical Mathematics (numerics, computer course and modelling).
In Analysis you will first be dealing with real functions of a variable and its characteristics, such as dependability, differentiability and integrability. Here, functions are not only a nice mathematical ‘plaything’, but also a model for many relationships in our environment. So analysis becomes a universal aid in describing, analysing and predicting such relationships.
Linear Algebra is concerned with the theoretical and practical foundations of linear algebra and fundamental algorithms. For example, methods which you already know from school, such as Gauss algorithm or polynomial long division, are deepened here.
In later semesters you will attend advanced modules in the fields of Analysis, Algebra, Stochastics and Practical Mathematics as well as specialisation modules and elective modules. You will choose 2 modules from the available specialisation modules: Analysis and Numerics, Geometry and Algebra and Stochastics.
The range of elective modules include, for example, Functions Theory, Optimisation, Numerics of Ordinary Differential Equations, Functional Analysis and Number Theory. You have free choice in your selection of elective modules. However, you have to collect a total of 18 ECTS credits for these modules.
In addition to your major you will also study a non-mathematical minor. It is advisable to choose a minor that is related to the professional field you would like to work in later.
View here the study plan.
Additional information about the programme structure is available at the exam regulations (in German).
Internship and abroad
Internships help you to gain insights into various professional areas and to build up contacts. The Department of Mathematics (in German) or the staff of the university’s Career Service (in German) are here to help you find a suitable placement.
A period of study abroad is always highly recommendable. Equivalent study and exam achievements acquired during your stay will be recognised. You can spend semesters abroad at numerous universities in Europe and worldwide. The university enables study abroad via the ERASMUS programme and numerous other exchange programmes.
Why study Mathematics at Konstanz?
In order to help your transition from school mathematics to mathematics at university, the Department of Mathematics offers a four-week preparatory course (in German) before the start of the semester in which you can refresh, expand and deepen your existing knowledge. At the same time you can get to knowfellow students and become acquainted with your new home environment.
You also have the opportunity to actively shape your studies by choosing elective subjects. You need to acquire a total of 36 ECTS credits in this field. If you prefer, you may cover this number of credits entirely within your chosen minor, or with a total of at least 18 ECTS credits. You can also collect the remaining number of ECTS credits by attending additional classes in the field of mathematics. This alternative gives you the chance to immerse yourself more deeply in areas of mathematics.
What interests and skills should I have?
You should really enjoy the subject and have a definite desire to understand relationships in the minutest detail. For this you will need endurance and determination. Whereas in school the main focus is on exercising various solution methods, during your studies you will learn to understand problems, to clarify them and to deal with them. A good level of frustration tolerance is useful in order to master the challenges involved. Apart from this, the department (in German), the student council (in German) or other service facilities offered by the university will gladly help you. Finally, you will also need adequate English skills in order to read much of the literature.
Applicants with German higher education entrance qualification:
- general or subject-specific higher education entrance qualification
- university entrance for working applicants without higher education entrance qualification (special provisions)
Applicants with higher education entrance qualification from abroad:
- general or subject-specific German higher education entrance qualification
- school graduation that permits higher education entrance in the home country and is recognised as equal to the German higher education entrance qualification or
- assessment test (Studienkolleg (preparatory course))
Documentation Orientation Test
When applying for a place to study at universities in the state of Baden-Württemberg you have to take an orientation test. The Baden-Württemberg orientation test (in German) is the most widely used test. Other recognised orientation tests are listed on the university websites. Please send in your certificate of participation together with your application papers.
This study programme has no admission restrictions.
The study programme begins in the winter semester only. The application deadline is 15 September. There may be other deadlines if you are applying for admission to a higher semester (for instance, if you are changing subjects or universities). Please consult the university website for more information.
You can find an overview of all required application documents in your application for admission. You will get this application at the end of the online application process.