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Mathematics & Statistics

Mathematics and mathematical ideas permeate almost every aspect of human endeavour. From physics to finance, biology to the built environment, cosmology to microbiology, mathematics and mathematical thinking make fundamental and far reaching contributions to our understanding of our place in the universe and underpin most of the disciplines that make it possible for us to live in a complex and ever changing world.
Mathematics is also one of the oldest of disciplines having a history stretching back at least 2,500 years. Despite this, it continues to be incredibly vital and fertile with new significant mathematics being created every day and with ever new and surprising applications.
For these reasons it is an essential component of many of the Faculty's courses in Engineering, Science, Secondary and Primary Education, Health, Sports Studies and many other areas.

University of Canberra mathematicians are engaged in developing fundamental mathematical theory that makes particular reference to the notions of symmetry and geometry. On this basis, contributions are often made to physical theory such as quantum and statistical mechanics and related fields. Mathematical research is also focussed on those models of real world that are particularly amenable to exact analysis – the so called "integrable models" or integrable systems in which symmetry play a partiularly central role. Finally, symmetry plays a central role in computational algebra, Kac-Moody algebras and the design of experiments which are also areas of mathematical research within the University. There is ample opportunity for suitably qualified individuals to undertake postgraduate research studies leading to Master or Doctoral degrees in a range of projects in computational algebra, mathematical physics, differential equations, differential geometry and integrable systems theory.
Statisticians at the University of Canberra undertake research in both the development of statistical theory as well as the applications of statistics to the real world. This includes applications to economics, finance, education, the biomedical sciences and many others including the field of "big data".
The one year Graduate Diploma in Statistics or six month Graduate Certificate in Statistics enables students with qualifications in other areas to gain expertise and experience in important statistical techniques that have been found to be particularly effective in a wide range of applications.
For those wishing to delve more deeply into statistical theory and its applications, suitably qualified individuals are able to enrol in the Master by or Doctor of Philosophy degrees.

Individuals with solid mathematical or statistical (or both) qualifications have access to a wide range of interesting careers, particularly those who combine this with information technology qualifications. This includes but is not limited to careers as a Financial Modelling Analyst, Actuarial Analyst, Advertising Analyst, Graduate Meteorologist, Climate Scientist, Secondary Mathematics Teacher and Statistician with the Australian Bureau of Statistics and other government and scientific agencies.

The new and rapidly developing field of bioinformatics has a particular need for highly qualified mathematicians and statisticians; mathematical modellers and statisticians are very important for the effective conduct of medical research and mathematicians are indispensable in the world of data and computer security.