Mathematicians work in the field of mathematics, studying quantities, space, structure, patterns and change.

Important subjects related to mathematics include computer science, physics and English.

Mathematicians usually have analytical minds, good communication skills and the ability to think abstractly.

Math courses found at colleges and universities include mathematical logic, numerical analysis, discrete mathematics, statistics, probability theory, mathematical analysis and more.

A PhD in mathematics is usually required for roles in universities and well paid jobs in private industry.

Some mathematicians study without applications of their work in mind, this is often known as ‘pure mathematics’.

Other mathematicians apply mathematics to various problems in areas such as physics, business, economics, computer science and engineering.

Mathematicians may research fields such as number theory, computation, statistics, probability, game theory, geometry, logic, set theory and numerical analysis.

As part of a career in mathematics a mathematician may apply theories and techniques to practical problems, develop statistical models, design systems of encryption, create computer simulations, solve complex problems, teach others and much more.

Scientists and mathematicians are slightly different in that scientists use experiments while mathematicians use proofs.