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Mathematician

Mathematicians use logical reasoning to study quantity, structure, space, pattern, and change. They develop techniques and insights that can be applied in various fields such as physics, engineering, biology, medicine, finance, organizational structure, and decision making.

Also Known As

Research Scientist

NOC Codes

In Canada, the federal government groups and organizes occupations based on a National Occupational Classification (NOC) system. This alis occupation may not reflect the entire NOC group it is part of. Data for the NOC group can apply across multiple occupations.

The NOC system is updated every 5 years to reflect changes in the labour market. Government forms and labour market data may group and refer to an occupation differently, depending on the system used.

Here is how this occupation has been classified over time.

2006 NOC

  • 2161.1: Mathematicians

2006 NOC-S

  • C061: Mathematicians, Statisticians and Actuaries

2011 NOC

  • 2161: Mathematicians, statisticians and actuaries

2016 NOC

  • 2161: Mathematicians, statisticians and actuaries

2021 NOC

  • 21210: Mathematicians, statisticians and actuaries

2023 OaSIS

  • 21210.02: Statisticians
Duties
Updated Mar 31, 2022

Many problems that mathematicians study arise from within mathematics itself, or with some inspiration from physics. This is often the case with areas of pure math such as algebra, analysis, and geometry.

In natural science fields, scientists test physical theories with objective experiments. Mathematicians verify mathematical statements objectively using proofs. At an abstract level, mathematicians deal with assumptions and explore their consequences.

Mathematicians work in science (such as physics, chemistry, and engineering), social science (such as psychology, sociology, and political science), and business (such as finance, actuarial science, and risk analysis). Through their work, they may:

  • Apply established methods of analyzing numbers and statistics
  • Develop new and more efficient methods of dealing with numerical processes

For example, mathematicians may develop models of the ocean floor, changing demographics, or blood flow. Or they may apply number theory to computer-security problems or seismological (earthquake) survey results.

When confronted with any problem that has a numerical basis, an organization may consult a mathematician for advice about:

  • The existence, accuracy, and cost of possible solutions
  • Ways to better understand the observed behaviour of a system
  • The possible behaviours that a configuration might exhibit

Mathematicians may work in many different areas.

Applied mathematicians use math theories and techniques to solve practical problems in business, engineering, and science. For example, they may explore the cost of creating a new business or certain aspects of drilling for oil.

Biomathematicians use math techniques and tools to model natural and biological processes. For instance, they may research the effectiveness of vaccination programs in preventing epidemics.

Theoretical mathematicians seek to advance mathematical science. They develop new principles and new relationships between existing principles.

Mathematical consultants help with business and research projects. They may work on math problems in fields such as mechanics, electromagnetic theory, economics, communication networks, or the petrochemical industry.

Financial mathematicians develop mathematical and probability models of stock markets, options, and currency futures. For instance, they may use mathematical models to understand and manage risk.

Statisticians and actuaries use math to solve problems in finance, business, and government.

Biostatisticians use statistics to measure how well drugs and other treatment methods perform.

Working Conditions
Updated Mar 31, 2022
  • Strength Required Lift up to 5 kg

Mathematicians tend to work in an office environment with standard office hours. They often work long hours. They may work alone or as part of a team.

Work Personalities

In Alberta, this occupation is part of 1 or more 2023 National Occupational Classification (NOC) groups. If there are multiple related NOC groups, select a NOC heading to learn about each one.

How This Occupation Compares to Your Work Personalities

Fit
Fit Guide
An occupation can be a great, good, fair, weak, or poor fit for you.
I
Investigative
This occupation
You
C
Conventional
E
Enterprising
This occupation
You

This Occupation’s Work Personalities

Your Work Personalities

Quick Guide

Alis work personalities are based on Holland’s theory. It identifies 6 personality types: Realistic, Investigative, Artistic, Social, Enterprising, and Conventional. People with similar personalities and interests will tend to pursue similar careers. They are likely to create work environments that are favourable to their type.

Most people will identify with 2 or 3 dominant personalities. If the occupation’s personalities match your more dominant types, this occupation is more likely to be satisfying and rewarding to you.

This Occupation’s Work Personalities lists the personalities most likely to be found in that occupation. They are listed in order of importance, with 1 as the most important.

Your Work Personalities shows where the occupation’s personalities rank within your test results. Rank 1 is your most dominant type and 6 is your least dominant.

Learn about work personalities

Abilities

In Alberta, this occupation is part of 1 or more 2023 National Occupational Classification (NOC) groups. If there are multiple related NOC groups, select a NOC heading to learn about each one.

Statisticians
2023 OaSIS: 21210.02

How This Occupation Compares to Your Abilities

The graph below shows how well your scores match the overall abilities for this occupation.

The closer your ability scores are to the center, the more they match this occupation’s. The further away they are, the less they match this occupation’s.

The lower your ability scores are compared to the occupation’s, the more challenging the occupation will likely be for you. The higher your ability scores are compared to the occupation’s, the less challenging the occupation will likely be for you.

lower
a match
higher
Typical ability expectations for this NOC group
Your abilities

Abilities Sets

The 49 abilities are grouped into 5 abilities sets: Critical Thinking, Numbers and Patterns, Physical Activity, Mind-Body Coordination, and Senses.

Some abilities are more relevant to an occupation than other abilities. Individual abilities that are not relevant to an occupation are greyed out.

Critical Thinking

Critical Thinking includes 9 abilities related to identifying and solving problems, thinking of ideas, and communication, such as speaking and writing.

This is how well your scores match the set of Critical Thinking abilities for this occupation:

lower
a match
higher
Typical ability expectations for this NOC group
Your abilities

Numbers and Patterns

Numbers and Patterns includes 10 abilities related to math, memorizing, and multitasking. It also includes how we perceive patterns, shapes, and distances.

This is how well your scores match the set of Numbers and Patterns abilities for this occupation:

lower
a match
higher
Typical ability expectations for this NOC group
Your abilities

Physical Activity

Physical Activity includes 9 abilities related to strength, balance, flexibility, coordination, and endurance. 

This is how well your scores match the set of Physical Activity abilities for this occupation:

lower
a match
higher
Typical ability expectations for this NOC group
Your abilities

Mind-Body Coordination

Mind-Body Coordination includes 9 abilities related to movement control and how we react to signals. It also includes fine motor skills, such finger and hand dexterity and hand-eye coordination.

This is how well your scores match the set of Mind-Body Coordination abilities for this occupation:

lower
a match
higher
Typical ability expectations for this NOC group
Your abilities

Senses

Senses includes 12 abilities related to seeing, hearing, and speaking. 

This is how well your scores match the set of Senses abilities for this occupation:

lower
a match
higher
Typical ability expectations for this NOC group
Your abilities

Quick Guide

The abilities or aptitudes shown for this NOC group come from the Occupational and Skills Information System (OaSIS).

The abilities scores range from 1 to 5, with 5 being stronger.

Occupations use different combinations and levels of these abilities. The Abilities Quiz helps you learn more about your ability levels and which occupations match your strengths.

If you have completed the Abilities Quiz, you can compare the occupation’s ability expectations to your own ability scores. Your scores may be lower than, a match to, or higher than the occupation’s expected abilities.

Learn about abilities

Traits & Skills
Updated Mar 31, 2022

In addition to talent and an interest in math, mathematicians need:

  • Logical thinking
  • The ability to convert scientific problems into mathematical terms
  • The ability to apply prolonged, individual effort to a problem
  • The ability to communicate complex ideas clearly
  • Creativity and imagination
  • The ability to work alone with little supervision or in a team setting

They should like synthesizing data and applying math techniques. They should enjoy advising others regarding the applications and methods of math.

Educational Requirements
Updated Mar 31, 2022
  • Minimum Education 6 years post-secondary

Ideally, prospective mathematicians start their education by combining a general university education with a major or honours degree in math, or a double major in math and a related subject. Most mathematicians have graduate degrees in their field.

Admission to a master’s program requires an acceptable average in a 4-year bachelor’s program in math. Mathematicians who wish to work in research most often need to do post-graduate work in pure or applied math at the doctoral (PhD) level.

Students interested in pursuing a career in math should explore it beyond the high school curriculum by:

  • Reading books about math
  • Working on problems found on the Canadian Mathematical Society website and in contest papers, magazines, and books
  • Participating in math clubs, fairs, and university outreach programs
  • Participating in regional, provincial, and national math competitions

To expand or narrow your program options, visit Post-Secondary Programs and start your search with:

Completing a program does not guarantee entrance into an occupation. Before enrolling in an education program, prospective students should look into various sources for education options and employment possibilities. For example, contact associations and employers in this field.

Certification Requirements
Updated Mar 31, 2022
  • Certification Not regulated

There is currently no provincial legislation regulating this occupation in Alberta.

Employment & Advancement
Updated Mar 31, 2022

Mathematicians work for:

  • Financial institutions
  • Governments
  • Hospitals
  • Insurance companies
  • Pension benefit consulting firms
  • Science and engineering consulting firms
  • Scientific institutions and research agencies
  • Schools, colleges, and universities
  • Trading and risk-management departments of energy companies

The computer industry also employs many people with training in math. These positions are most often located in the head offices of large organizations.

In large institutions, mathematicians who have strong communication and people skills may advance to management positions.

Industry Concentration

This section shows the industries where the majority of people in this occupation work. The data is based on the 2016 Census.

In Alberta, this occupation is part of 1 or more 2016 National Occupational Classification (NOC) groups.

Mathematicians, statisticians and actuaries
2016 NOC: 2161

78.1% of people in this occupational group work in:

NOC groups often include several related occupations. Although there is labour market data for the larger NOC group, this occupation makes up only a part of that group. It means data for this occupation may be different than the data shown. For examples, see Note.

3-Year Job Market Forecast

This section shows the Alberta job market condition, or short-term demand forecast, for this occupation over a 3-year period. It also shows the number of people employed in the occupation.

In Alberta, this occupation is part of 1 or more 2021 National Occupational Classification (NOC) groups.

Mathematicians, statisticians and actuaries
2021 NOC: 21210
Balanced
Job Market
< 1500
Employed in AB

Source: 2024-2026 Alberta Short-Term Employment Forecast

NOC groups often include several related occupations. Although there is labour market data for the larger NOC group, this occupation makes up only a part of that group. It means data for this occupation may be different than the data shown. For examples, see Note.

To see data for all occupations, visit Occupations in Demand.

5-Year Job Market Forecast

This section shows the employment outlook for this occupation in Alberta over a 5-year period.

Employment outlook is influenced by a wide variety of factors including:

  • Time of year (for seasonal jobs)
  • Location in Alberta
  • Employment turnover (when people leave existing positions)
  • Occupational growth (when new positions are created)
  • Size of the occupation
  • Trends and events that affect overall employment, especially in the industry or industries from the previous list

In Alberta, this occupation is part of 1 or more 2016 National Occupational Classification (NOC) groups.

Mathematicians, statisticians and actuaries
2016 NOC: 2161
2.4%
Annual Growth
(Average)
5
New Positions

Source: 2021-2025 Alberta Regional Occupational Demand Outlook

Annual growth is from 2021 to 2025. New positions created each year are in addition to job openings created by employment turnover.

NOC groups often include several related occupations. Although there is labour market data for the larger NOC group, this occupation makes up only a part of that group. It means data for this occupation may be different than the data shown. For examples, see Note.

Employment turnover is expected to increase as members of the baby boom generation retire over the next few years.

Wage & Salary
Updated Jun 05, 2025

In Alberta, this occupation is part of 1 or more 2021 National Occupational Classification (NOC) groups. If there are multiple related NOC groups, select a NOC heading to learn about each one.

Mathematicians, statisticians and actuaries

2021 NOC: 21210
Average Wage
$41.09
Per Hour
Average Salary
$81,653.00
Per Year
Average Hours
38.3
Per Week
Average Months on Payroll
12
Survey Methodology Survey Analysis

Source
2023 Alberta Wage and Salary Survey

NOC 21210 Wage Profile

Unless otherwise noted, the data shown here is for all industries and all regions in Alberta.

All wage estimates are hourly except where otherwise indicated. Wages and salaries do not include overtime hours, tips, benefits, profit shares, bonuses (unrelated to production), and other forms of compensation.

To see the full survey data for this NOC group, visit the wage profile.

Other wage sources
To make an informed wage and salary decision, research other wage sources [pdf] to supplement this data.

C: Lower Reliability
Data Reliability Code Definition

Lower Reliability, represents a CV of between 15.01% and 33.00% and/or if fewer than 20 survey observations and/or if survey observations represent less than 33% of all estimated employment for the occupation.


Hourly Wage

For full-time and part-time employees
  • Low
  • High
  • Average
  • Median
Starting
Overall
Top

Hourly Wage

For full-time and part-time employees
Wages* Low (5th percentile) High (95th percentile) Average Median
Starting $32.43 $47.62 $38.19 $38.01
Overall $32.69 $52.31 $41.09 $40.00
Top $38.15 $59.94 $51.20 $49.17

Swipe left and right to view all data. Scroll left and right to view all data.

* All wage estimates are hourly except where otherwise indicated. Wages and salaries do not include overtime hours, tips, benefits, profit shares, bonuses (unrelated to production) and other forms of compensation.

Pay brackets for hourly wages

  • Starting pay: average pay offered for entry-level positions
  • Overall pay: average pay across all employees in this occupation
  • Top pay: average pay offered to top-paid employees

Industry Information

ALL INDUSTRIES
Health Care & Social Assistance
Public Administration

Skills Shortage

Employers that Recruited in the Last 2 Years
86%
86%)
Recruiting Employers that Experienced Hiring Difficulties
N/A
Employers with Unfilled Vacancies of over 4 Months
9%
9%
Vacancy Rate
7%
Related Post-Secondary Field of Study
  • Computer and Information Technology
  • Mathematics
  • Sciences
  • Social Sciences, Law and Religious Studies
Other Sources of Information
Updated Mar 31, 2022

Canadian Applied and Industrial Mathematics Society (CAIMS) website: caims.ca

Canadian Mathematical Society (CMS) website: cms.math.ca

Mitacs website: www.mitacs.ca

Mathematics with a Human Face website: mathcentral.uregina.ca

Get information and referrals about career, education, and employment options from Alberta Supports.

Updated Mar 31, 2022. The information contained in this profile is current as of the dates shown. Salary, employment outlook, and educational program information may change without notice. It is advised that you confirm this information before making any career decisions.

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