Skip to content
Logo Careeronestop
careeronestop
your source for career exploration, training & jobs
Sponsored by the U.S. Department of Labor.
A proud partner of the american job center network.

Occupation Profile

Learn details about any occupation including what you might do on the job, how much you might earn, and how much education or training you might need.

Get started by entering a keyword for a career, a job title, or a type of work in the box below. Then enter your location and click "Search". Or, click "List of Occupations" to select from a list of careers.

Mathematicians
Show More

Select items to add to your view

Overview


Employment


Wages

Education





Job Details






More Info


= not available for this occupation
Description: what do they do?
Conduct research in fundamental mathematics or in application of mathematical techniques to science, management, and other fields. Solve problems in various fields using mathematical methods.
Also known as:
Research Scientist, Scientist, Emerging Solutions Executive, Image Scientist, Lead Simulation Modeling Engineer, Director of Quantitative Research, Cryptographic Vulnerability Analyst, Cryptographer, Computational Scientist, Agent-Based Modeler

    What does this information tell me?

    This description is a quick overview of what workers in this career might do.

    "Also known as" shows other common names for this career.

    What is the source of this information?

    This information comes from an O*NET database. Learn more on the Help page.

Career video
00:00
00:00

    Transcript: If you enjoy solving puzzles and have a good head for numbers, you might be interested in a career as a mathematician. These workers use equations to solve both academic and real-life problems. Theoretical mathematicians use equations to develop new rules, disprove existing mathematical theories, or create new ones. They may develop methods to solve problems emerging from science and engineering fields. They often work for research firms or teach math and conduct research at colleges and universities. Applied mathematicians address an almost endless variety of problems, from making aircraft more aerodynamic, to programming models for a video game, to designing and deciphering encryption systems for the military and financial industries. Applied mathematicians work in industry and government, dealing with robotics, pharmaceuticals, space exploration, and more! Despite the differences between applied and theoretical mathematics, these areas often overlap. Many mathematicians, particularly those in government or private industry, use both applied and theoretical knowledge in their job duties. Mathematicians, however, are a relatively small occupation. Most people with a degree in mathematics or who develop mathematical theories and models work in related fields and professions, such as information technology. Some become math teachers in a middle school or high school. This typically requires a math degree and a teaching credential. Government jobs require at least a bachelor’s degree in math. For private industry jobs, a master's degree or Ph.D. is usually expected, and in academia, a Ph.D. is needed. So, is this challenging career in a fast-growing field the right choice for you? You do the math.
View transcript
Outlook: will there be jobs?
Image. Employment outlook for this occupation
New job opportunities are very likely in the future.

This occupation is:
  • Expected to grow much faster than average


    What does this information tell me?

    Outlook information can tell you whether a career is expected to be in demand in the future—that is, whether there are likely to be job openings if you choose this career. Careers can have one of three outlooks:

    • A Bright outlook means new job opportunities are very likely in the future
    • An Average outlook means that a small number of new job opportunities are likely in the future (less than an 8 percent increase)
    • A Below Average outlook means new job opportunities are less likely in the future

    You can also view local job listings in this field by clicking "Find job openings" above. This can help you see if local businesses are hiring—another way of looking at demand.

    What is the source of this information?

    This information comes from the O*NET Resource Center. Learn more about O*NET’s Bright Outlook occupations. Note this information is only available at a national level, so even if you selected a state, you’ll only see this information for the whole country.

Projected employment
WYOMING
N/A
2016 Employment
N/A
2026 Employment
N/A
Percent change
N/A
Annual projected job openings
United States
2,900
2018 Employment
3,600
2028 Employment
26%
Percent change
300
Annual projected job openings
N/A: We do not have employment projections in this state for this occupation.

    What does this information tell me?

    Projected employment shows how much employment is expected to grow in this occupation over a 10-year period. This can help you decide if this career is a good choice for future job opportunities. You can look at projected employment in your state, or in other states where you might consider living.

    You can see the total number of people employed in this occupation in 2016, the number expected to be employed in 2026, and rate of growth over those years.

    The projections are based on assumptions of unemployment rates and labor productivity growth rates.  While the projected numbers may not be exact, they are helpful to compare one career to another, or one location to another.

    What is the source of this information?

    State-level data come from Projections Central and each state's Labor Market Information office.

    National-level data come from the Bureau of Labor Statistics Employment Projections, 2016-26.

Typical wages

Annual wages for Mathematicians in United States
This graph displays wage data.  Find details by selecting the table view.
This chart displays wage data.  Find details by selecting the table view.
LocationWYOMINGUnited States
10%N/A$57,150
25%N/A$73,490
MedianN/A$101,900
75%N/A$126,070
90%N/A$160,550


    What does this information tell me?

    This chart shows you a range of how much most workers in this occupation earn per hour, in the location that you selected.

    You can select from three views of this data:

    • The Graph shows you wages at the 10th, 25th, 50th, 75th and 90th percentiles. Note that the lowest (10th %ile) wage shown is not necessarily a "starting wage." Instead it means that 10 percent of all workers in this career earn less that this amount, and 90 percent earn more. However, you can assume that you might earn close to the 10th or 25th %ile wages when you start out in most careers.
    • Select "Chart" to see a visual comparison between national wages and wages in the location you selected.
    • Select "Table" to see more wage data the national and local level.

    Please note that wage data are not available at the city or ZIP code level. If you selected a city or ZIP code, you will see wage data for the regional area.

    Also note that in this update, 21 detailed occupations found within the 2010 Standard Occupational Classification (SOC) were replaced with 10 new aggregations of those occupations; read more about these OES changes.

    You can learn more about wages for this and other occupations by clicking “See more wages” above.

    What is the source of this information?

    The wage information comes from the Bureau of Labor Statistics, Occupational Employment Statistics Program, 2018 data. For more detailed state wage data, please find the link to your state's wage data program in the Other Resources box.

    What does this information tell me?

    This shows you the typical level of education, work experience, and on-the-job training that most people have when they start in this career. Note that these are not requirements for entering this field, but the information can help you understand how qualified you might be.

    Interested in starting in this career? You can search for education programs in your local area by clicking “Find local training” above.

    What is the source of this information?

    This information comes from the Bureau of Labor Statistics, Office of Occupational Statistics and Employment Projections Education and Training Data.

Typical education
How much education do most people in this career have?
Chart. Percent of workers in this field by education level attained

    What does this information tell me?

    This chart shows you the range of education levels that people who currently work in this field have. You can use this to see if you fit in this range. Note that this includes ALL people who work in this field and not just those getting started.

    Interested in getting qualified for this career? You can search for programs that lead to the education needed, in your local area, by clicking “Find local training” above.

    What is the source of this information?

    This information comes from the Bureau of Labor Statistics, Office of Occupational Statistics and Employment Projections Education and Training Data.

Certifications: show your skills
Let employers know you have the skills to do well at this job.
Earning a certification can help you:
  • Get a job
  • Get a promotion

    What does this information tell me?

    When you click "Find certifications" you'll see a list of national certifications that are related to this career. From there, you can learn how to achieve one of these certifications to help you enter or get ahead in this field.

    What is the source of this information?

    This collection of occupational certifications is collected and regularly updated by CareerOneStop. Learn more at Certification Finder Help.

Licenses: do you need one?
Some states require an occupational license to work in this career.

    What does this information tell me?

    When you click "Find license details in your state" you'll see the license name and contact information for the agency in your state that oversees licensing for this field. If you have not selected a location, you'll see a list of all state licenses for this occupation.

    What is the source of this information?

    Information on licensed occupations is gathered in each state by Labor Market Information units under a grant from the U.S. Department of Labor. Learn more at License Finder Help.

Apprenticeships: learn on the job
Apprenticeships combine paid on-the-job-training with classroom lessons.

    What does this information tell me?

    When you click "Find apprenticeship sponsors" you'll find information that can help you locate apprenticeship opportunities in your state:

    • If there are businesses that have sponsored apprenticeships in this field in the past, you'll find their name and contact information.
    • If there are related occupations that might have apprenticeship opportunities, you'll find links to that information.
    • You'll also see contact information for state and federal agencies that oversee apprenticeship programs.

    What is the source of this information?

    Apprenticeship information comes from the U.S. Department of Labor, Office of Apprenticeships, and from CareerOneStop. Learn more at Apprenticeship Finder Help.

Activities: what you might do in a day
  • Determine appropriate methods for data analysis.
  • Apply mathematical principles or statistical approaches to solve problems in scientific or applied fields.
  • Design computer modeling or simulation programs.
  • Update knowledge about emerging industry or technology trends.
  • Analyze data to identify trends or relationships among variables.
  • Present research results to others.
  • Prepare analytical reports.
  • Develop computer or information security policies or procedures.
  • Analyze security of systems, network, or data.
  • Develop scientific or mathematical models.

    What does this information tell me?

    This is a list of typical work activities that people in this career might do on the job. You can use this list to get an idea of whether this career might be a good fit for you.

    Click on “More activities” to see more detailed examples of activities for this career.

    You can also use this list to help you prepare for a job interview. Or, if you’ve already held a job like this, you can copy these activities to use on your resume.

    What is the source of this information?

    This information comes from O*NET OnLine's Occupation Information. They are O*NET’s Detailed Work Activities.

Knowledge
People in this career often know a lot about:
  • Mathematics - Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
  • Computers and Electronics - Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
  • English Language - Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.
  • Engineering and Technology - Knowledge of the practical application of engineering science and technology. This includes applying principles, techniques, procedures, and equipment to the design and production of various goods and services.

    What does this information tell me?

    This is a list of general knowledge areas that are most commonly required for jobs in the career. Knowledge is typically gained through education and related experience.

    This list can help you learn if you are prepared for a job in this career. It can also help you decide on education or training programs that could help you prepare for the career.

    What is the source of this information?

    This information comes from the O*NET Resource Center. Learn more about O*NET's Knowledge descriptors.

Skills
People in this career often have these skills:
  • Mathematics - Using math to solve problems.
  • Reading Comprehension - Reading work-related information.
  • Complex Problem Solving - Noticing a problem and figuring out the best way to solve it.
  • Critical Thinking - Thinking about the pros and cons of different ways to solve a problem.
  • Active Learning - Figuring out how to use new ideas or things.
  • Writing - Writing things for co-workers or customers.
  • Active Listening - Listening to others, not interrupting, and asking good questions.

    What does this information tell me?

    This is a list of a list the work-related skills most commonly required for jobs in the career.

    This list can help you understand how well your current skills fit this career. It can also help you plan your education or professional development.

    What is the source of this information?

    This information comes from the O*NET Resource Center. Learn more about O*NET's Skills descriptors.

Abilities
People in this career often have talent in:
  • Mathematical Reasoning - Choosing the right type of math to solve a problem.
  • Number Facility - Adding, subtracting, multiplying, or dividing.
  • Deductive Reasoning - Using rules to solve problems.
  • Written Comprehension - Reading and understanding what is written.
  • Information Ordering - Ordering or arranging things.
  • Inductive Reasoning - Making general rules or coming up with answers from lots of detailed information.
  • Oral Comprehension - Listening and understanding what people say.
  • Category Flexibility - Grouping things in different ways.
  • Problem Sensitivity - Noticing when problems happen.
  • Near Vision - Seeing details up close.
  • Fluency of Ideas - Coming up with lots of ideas.
  • Written Expression - Communicating by writing.
  • Oral Expression - Communicating by speaking.
  • Originality - Creating new and original ideas.

    What does this information tell me?

    This is a list of a list of personal qualities that might influence work and are most commonly required for success in this career.

    This list can help you understand if your natural strengths and abilities are a good fit for this career.

    What is the source of this information?

    This information comes from the O*NET Resource Center. Learn more about O*NET's Abilities descriptors.

Interests
  • Conventional - Occupations related to Conventional interests frequently involve following set procedures and routines. They include working with data and details more than with ideas. Usually there is a clear line of authority to follow.
  • Artistic - Occupations with Artistic interests frequently involve working with forms, designs and patterns. They often require self-expression and allow for developing unique approaches to conducting the work.
  • Investigative - Occupations with Investigative interests frequently involve working with ideas, and require an extensive amount of thinking. They often involve research and figuring out problems mentally.

    What does this information tell me?

    This is a list of work environment-preferences that are most commonly associated with the career. It can help you understand if your natural interests are a good fit for this career.

    Click "Take an interest assessment" for a quick 30-question assessment that can help you understand your interests and see careers that might be good matches for them.

    What is the source of this information?

    This information comes from the O*NET Resource Center. Learn more about O*NET's Interest descriptors.

Typical tasks
  • Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
  • Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
  • Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
  • Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
  • Assemble sets of assumptions and explore the consequences of each set.
  • Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
  • Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
  • Perform computations and apply methods of numerical analysis to data.
  • Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
  • Develop new principles and new relationships between existing mathematical principles to advance mathematical science.

    What does this information tell me?

    This is a list of typical tasks that people in this career might do on the job.  You can use this list to get an idea of whether this career might be a good fit for you.

    Click on “More tasks” to see more detailed examples for this career.

    You can also use this list to help you prepare for a job interview. Or, if you’ve already held a job like this, you can copy these tasks to use on your resume.

    What is the source of this information?

    This information comes from O*NET OnLine's Occupation Information. They are O*NET‘s Tasks.

    What does this information tell me?

    These are additional online resources related to this career. You may find different or more detailed information at these sources.

    What is the source of this information?

    This information is collected and maintained by CareerOneStop.