Mathematicians apply and develop mathematical principles to solve problems in all areas of the sciences, technology, social sciences, business, industry and commerce.

## Personal requirements for a Mathematician

- Enjoy
mathematics
- A good
imagination
- Analytical
skills
- Able
to take initiative
- Able
to persevere
- Able
to work independently or as part of a team
- Enjoy
problem-solving

## Education & Training for a Mathematician

To become a mathematician you usually have to study
mathematics at university. There are a number of different degrees within which
you can study mathematics. These include arts, engineering and science.
Mathematics can also be studied at some universities as part of a double degree
with other courses such as law, medicine, actuarial studies and finance.
Mathematics and statistics are closely related areas and many students combine
study in both.To get into these courses you usually need to gain your Senior
Secondary Certificate of Education. Prerequisite subjects, or assumed
knowledge, in one or more of English, mathematics, chemistry, physics and
biology are normally required. Universities have different prerequisites and
some have flexible entry requirements. Contact the institutions you are interested
in for more information.

## Duties & Tasks of a Mathematician

**Mathematicians:**

- Apply
geometry and calculus to design objects in fields such as architecture,
computer graphics and robotics
- Analyse
statistics to find predictive models for traffic flow, insurance risks,
consumer research, market analysis and clinical trials
- Develop
predictive models for financial markets and products for financial risk
management
- Simulate
processes in chemical, mining or agricultural industries by translating
them into mathematical models
- Develop
computer modelling
- Develop
and improve mathematical models
- Design
computer programs to make and break complex security codes, or investigate
and develop schemes for information security.

**Tasks**

- Analyses
and interprets data, and produces relevant statistics to describe and
infer particular trends and patterns..
- Specifies
the data to be collected, and the methodology to be used in collection and
analysis..
- Applies
models to experimental observations, and adjusts and recasts the models..
- Liaises
with management and clients to determine the subject or area to be surveyed
or examined..
- Formulates
mathematical models to simulate processes..
- Uses
numerical analysis methods to develop algorithms and perform
computations..
- Evaluates
and describes the reliability and utility of source information..

## Employment Opportunities for a Mathematician

Mathematicians are employed in a wide range of capacities, such
as scientists, top-level and mid-level managers, executives and administrators,
academics and research personnel in universities, teachers, computer systems
analysts and developers, and in the finance sector. They are in demand in
ever-increasing areas where mathematical models are used, such as in insurance
models in the finance industry, econometric models in government departments
and models related to the physical sciences. The Commonwealth Scientific and
Industrial Research Organisation (CSIRO), the Defence Science and Technology
Organisation and other government bodies also employ mathematicians.
Additionally, there is nearly always demand for teachers of mathematics,
particularly in secondary schools.

## Specializations

### Pure Mathematician

A pure mathematician develops new mathematical structures
and approaches to solving existing problems, in order to further mathematical
knowledge.

### Scientific Programmer

A scientific programmer develops algorithms and computer
programmes for use in mathematical modelling, data analysis and problem-solving
in fields such as industrial design, climate science and geoscience.

### Mathematical Modeller

A mathematical modeller constructs mathematical models
(often via computer technology) to simulate real phenomena across a wide range
of applications, including meteorology, geography and finance.

### Applied Mathematician

An applied mathematician formulates and studies mathematical
models of environmental, physical and social systems in order to understand
and, where possible, optimise those systems.

### Mathematical Analyst

A mathematical analyst analyses data and assesses risks
within the finance and insurance industries, as well as market research,
biosecurity and genetics.

### Mathematician

Mathematicians apply and develop mathematical principles to solve problems in all areas of the sciences, technology, social sciences, business, industry and commerce.