To obtain the best output the processes must be thoroughly studied and in many cases this entails the creation of new mathematical models. A typical mathematical application is tomography, which is used in a medical examination of the human brain. The device measures the attenuation of the beam as it travels through the brain, i.e. the density of the material the beam permeates. Using mathematical analysis of these measurements a computer is able to produce a map of the brain. The Department of Mathematics is the largest mathematical institution in Finland and offers the most versatile opportunities for high-calibre research.
Teaching is given in both pure and applied mathematics.
Pure, or general, mathematics studies mathematical problems per se. In applied mathematics, mathematics is used as a medium for finding solutions to problems that have come up in other fields. Pure and applied mathematics are closely linked to each other. The Department educates prospective teachers of mathematics. Special courses are also offered to teachers of mathematics who wish to upgrade their professional skills in mathematics.