Mathematicians study and research the principles of mathematics and apply these principles to practical, technical and theoretical problems across a range of industries. They apply mathematical theories, algorithms and computational techniques to a wide range of problems and fields of inquiry, including design, finance, industrial production and manufacturing, environment, security, transport and logistics, urban and regional planning, astronomy, cartography, medicine and defense. Mathematicians may also teach mathematics at tertiary level.
Some Mathematicians apply theories and techniques, such as mathematical modeling, to solve practical problems. These mathematicians, sometimes known as applied mathematicians, typically work with individuals in other occupations to solve these problems. For example, they may work with chemists, materials scientists, and chemical engineers to analyze the effectiveness of new drugs. Other applied mathematicians may work with industrial designers to study the aerodynamic characteristics of new automobiles.
Other Mathematicians may study theoretical or abstract concepts in mathematics. Sometimes called theoretical mathematicians, they identify, research, and resolve unexplained issues in mathematics. They are concerned primarily with exploring new areas and relationships of mathematical theories to increase knowledge and understanding about the field.
Mathematician develop new mathematical rules, theories, and concepts in areas such as algebra and geometry and use mathematical formulas and models to prove or disprove theories . They apply mathematical theories and techniques to solve practical problems in business, engineering, the sciences, and other fields. Mathematician interpret data and report conclusions drawn from their analyses. They use data analysis to support and improve business decisions. They read professional journals, talk with other mathematicians, and attend professional conferences to maintain their knowledge of current trends.
Mathematicians usually work in office environments, often in universities or other research organizations. They often work in conjunction with economists, engineers, computer scientists, physicists and other technicians. Mathematicians usually work regular hours, although they may be required to work longer hours when working to deadlines or when they have been requested for special information or analysis. Some mathematicians work in academia and therefore have a mix of teaching and research responsibilities. They may be required to travel for conferences or to deliver presentations.