Mathematics is a science which, with its logical deductions, studies concepts with well-defined qualities, established in axioms. Concepts, theoretical structure and methods from the different branches of mathematics have for a long time constituted important tools in technical and natural science applications. During the last few decades the significance of mathematics has increased further on account of the rapid development in computer technology, together with an increasing awareness of the applicability of mathematics in the life sciences, humanities and social sciences. This has also given rise to new mathematical research problems which together with internal scientific questions contribute towards driving mathematics forwards.
The third-cycle subject area of Mathematics/Applied Mathematics encompasses the entire area of mathematical research, including mathematical analysis, geometry, algebra, logic, discrete mathematics, computational mathematics, probability theory and statistics. The third-cycle subject area also includes such applications within other subject areas that make a substantial contribution to mathematical theory. Such applications can be in environment-, energy- and resource optimisation but within other areas too. Pure subject didactics research, without substantial connections to mathematical research praxis, belongs to another third-cycle subject area at the University and is therefore not embraced by the third-cycle subject area of Mathematics/Applied Mathematics.