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# Mathematics

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## Bachelor Mathematics

Imaging methods used in medicine and technology, for communications and data transfer security, in risk management (especially in banking and insurance sector), and for computer aided processes in natural sciences and technology are substantial and often taken for granted.

But only few are aware of the fact, that these technologies would not be possible without the application of up-to-date and innovative methods of various fields in mathematics.

The NAWI Graz bachelor study programme mathematics, offered jointly by University of Graz and Graz University of Technology offers a sound and application oriented basic training in mathematics in those fields that are of great importance for an occupation in industry, economy or in science. Furthermore, students can acquire individual specialisation by choosing from different electives. As there is intensive contact between students and academic teachers during the bachelor programme, the development of team spirit will be promoted. This bachelor in mathematics is the prerequisite for a further scientific or application oriented training on master level in Graz as well as at any given location.

Which qualities are important?

- Enjoying solving mathematical problems
- Preference for systemically thinking and critical analysis
- Interest for analysing complex contexts
- Creative curiosity and playful tackling of problems with the help of computers
- Self-responsibility, goal orientation and stamina

What qualities are imparted by the study programme?

- In-depth knowledge of the language of mathematics
- Knowledge of fundamental mathematical theories and methods
- Mastering mathematical deduction techniques
- Identifying structures and relations
- Ability to think in the abstract and analytical abilities
- Experience with mathematical models
- Logical and algorithm oriented thinking
- Problem solving competences
- Working with mathematical models with the help of computers
- Ability to critically interpret results
- Communication and presentation skills
- Team spirit
- Ability to communicate with other disciplines

Further competences, especially the development and application of novel methods are imparted in the master study programmes.

Structure of the bachelor programme

The bachelor study programme has a minimum duration of six semesters. In the first four semesters, students acquire a fundamental training in the following mathematical core disciplines:

- Differential and integral calculus
- Linear algebra and analytical geometry
- Structures of algebra, discrete mathematics
- Numerical methods and optimisation
- Probability theory and statistics
- Differential equations
- Complex analysis
- Functional analysis

Already from the 5th semester on, students can start a specialisation in either

- Applied mathematics: Mathematical modelling, stochastics, numerical mathematics, differential equations and their application
- Discrete mathematics and algorithm theory: Algebra, discrete mathematics, optimisation, theoretical informatics and their applications
- Financial mathematics and actuarial science: Stochastics, differential equations and their applications in fundamental models of financial mathematics and actuarial science
- Technomathematics: Differential equations, numerical mathematics, fundamental knowledge in mechanics and electro engineering

BSc - What to do next?

The bachelor study programme mathematics offers a broad and methods oriented scientific basic training. Completing the bachelor study programme in mathematics opens doors for many attractive options. Apart from starting working life, students can continue their scientific training by starting the NAWI Graz master study programme in mathematics but also further master's prorgammes at other renowned international universities.

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## Academic Authorities:

**Prof. Peter Grabner**

Dean of Studies, Graz University of Technology

**Prof. Martin Holler**

Chairperson of Curricula Committee, University of Graz

## Links to the programmes' curricula

These are announced identically in both universities' newsletters:

(German version only)

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