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What does a
Mathematician do?

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Other common names for this position: Algebraist, Applied Mathematician, Cipher Expert, Computational Mathematician, Cryptanalyst, Cryptographer, Engineering Mathematician, Geometrician, Mathematical Engineer, Numerical Analysis Group Manager, Research Scientist, Scientist, Statistician


The job of a Mathematician revolves mostly around numbers. They can use their skills to conduct scientific research based on mathematical principles, theories, and methods that can be applied to several branches of Science to solve problems and design solutions. Moreover, Mathematicians can also apply their mathematical knowledge to the world of Economics and Finance, as well as for educational purposes when they work as Teachers or Professors in schools and universities.

A degree in Mathematics is quite versatile and can open many doors for people looking for job opportunities due to the high demand. Mathematicians can work in a wide variety of fields, the most common are Business Administration, Management, Accounting, Engineering and Banking, and they are usually employed by government agencies and educational institutions.

Primary Responsibilities

Here’s a non-exhaustive list of common tasks Mathematicians are required to complete.

  • Applying mathematical theories and techniques to solve practical problems in different areas, such as Business, Engineering, Science, and the Manufacturing Industry:
  • Developing computational methods to solve problems based on observations;
  • performing calculations and applying methods of numerical analysis on data;
  • identifying trends and relationships among variables;
  • determining appropriate methods for data analysis; and
  • using mathematical principles to solve problems in applied Science.
  • Developing mathematical models of phenomena for analytical and study purposes:
  • Designing computer models and mathematical simulations;
  • studying the behaviour of variables in phenomena based on mathematical theories;
  • formulating hypotheses and carrying out experiments to verify them;
  • collecting and documenting information based on findings; and
  • applying findings to fields of applied Science and the advancement of Mathematics.
  • Staying updated in their field of knowledge:
  • Reading mathematical journals and published papers;
  • liaising with other Mathematicians;
  • attending professional conferences; and
  • keeping track of new advancements and trends.
  • Sharing their research and findings by writing reports, publishing papers, or speaking at professional conferences:
  • Presenting research to colleagues; and
  • preparing and explaining analytical reports.
  • Designing, analyzing, and deciphering encryption systems based on mathematical algorithms:
  • Making use of encryption methods to convey secret messages for military, Law Enforcement, or governmental use;
  • analyzing security systems, networks, and data to ensure safety; and
  • developing new codes and updating existing ones.
  • Establishing new principles and relationships between mathematical doctrines to further contribute to scientific and technological development:
  • Designing new mathematical and scientific models; and
  • conducting research to extend and advance mathematical knowledge in algebra, geometry, probability, statistics, and logic.

Daily Tasks

  • Conducting research to extend their mathematical knowledge and staying updated in the field of Mathematics.
  • Applying mathematical techniques and principles to solve problems.
  • Creating mathematical models to work out problems and run simulations.
  • Documenting and presenting research to colleagues.
  • Teaching mathematical principles and methods to schools and university students.
  • Designing and deciphering encryption codes.

The average Mathematician salary is $76,145 per year or $39 per hour. This is around 2.3 times more than the Median wage of the country. Entry level positions start at $53,000 while most experienced workers make up to $107,000. These results are based on 2 salaries extracted from job descriptions.

Gross Salary76,144.50 $
CPP- 2,479.95 $
EI- 930.60 $
Federal Tax- 11,240.31 $
Provincial Tax- 5,409.15 $
Total Tax- 20,060.01 $
Net Pay*56,084.49 $
In Ontario, Canada, if you make 76,144.50 $ a year, you will be taxed 20,060.01 $. That means that your take home pay will be 56,084.49 $ per year, or 4,673.71 $ per month. Your average tax rate is 26.34% and your marginal tax rate is 32.98%.
* Deductions are calculated based on the tables of Ontario, Canada income tax.
Required Skills and Qualifications
  • Outstanding mathematical and numerical skills:
  • Understanding advanced mathematical methods, principles, and practices;
  • being able to perform long and complex calculations;
  • handling complex spreadsheets;
  • conducting mathematical research; and
  • designing mathematical models and simulations.
  • Exceptional analytical and problem-solving skills:
  • Processing long and complex calculations;
  • designing and deciphering encryption codes;
  • analyzing mathematical models and fixing problems; and
  • using creative thinking to solve complex problems.
  • Good interpersonal and communication skills:
  • Communicating and being able to explain complex mathematical procedures, using non-technical language when required;
  • documenting and presenting research results in a clear and accurate manner; and
  • liaising with colleagues to mutually extend knowledge and skills.
  • Great time management and organizational skills:
  • Being capable of taking on several tasks at the same time; and
  • being able to work both independently and as part of a team.
  • Adaptive personality with the ability to learn and apply new mathematical methods and principles quickly:
  • Being resilient when facing challenges.

Job opportunities for Mathematicians are widely available in several fields. The educational requirements necessary for this job is possessing a bachelor’s or master’s degree in Mathematics, which can be obtained at most colleges and universities. Depending on the field they wish to engage in, further training may be necessary. Professional Mathematicians working in areas such as Banking, Administration, Business, Finance, or Economics may be required to have an extra degree in said areas or to possess at least 3 years of previous work experience in a related field.[1]

Mathematicians may also work as Scientific Researchers and Investigators devoted to the development and advancement of their branch of Science. In these cases, they are usually employed by universities and other major houses of study. If they wish to pursue a teaching career, Mathematicians may choose to become school Teachers, or college or university Professors. Accreditation for these jobs usually comes from their academic achievements during their years of study.

Job Offers
There are currently "26" available job offers for the Mathematician position on Below is a list of available jobs, based on Canada's most populated metropolitan areas.