Mathematicians apply mathematical principles to solve problems in all areas of the sciences, technology, social sciences, business, industry and commerce.
A mathematician may perform the following tasks:
1..apply geometry and calculus to design objects as in architecture, computer graphics and robotics.
2..analyse statistics to find models for traffic flow, insurance risks, consumer research, market analysis and clinical trials.
3..develop models for financial markets and products for financial risk management
analyse processes from chemical, mining or agricultural industries by translating them into mathematical models.
4..develop computer modelling for industrial design.
5..develop and improve mathematical models to describe natural phenomena, such as soil erosion, the weather, ocean currents or biological behaviour.
6..develop computer programs for use in mathematical modelling and problem solving
design computer programs to make and break complex security codes, or investigate and develop schemes for information security.
7..carry out network analysis for the study of road systems, airline routes, transport and communication systems.
8..use linear programming for urban and regional planning.
engage in image and signal processing for astronomy, cartography, and medical and radar imaging .
9..analyse problems from the service, engineering or manufacturing sectors.
10..develop communications technology and information theory .
11..develop new mathematical relationships ranging across the areas of pure and applied mathematics, statistics, computing, operations research, commerce and industry .
12..teach mathematics .
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