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Mathematician

Academic programs / Undergraduate degrees / Career opportunities / Mathematician

Mathematician

Explore employment trends, required job duties and skills for this career. ASU offers a variety of degrees that can help you prepare for and meet your career goals. Visit ASU's Career and Professional Development Services to learn how to develop your career plan.

Potential job titles in this career
Computational Mathematician, Computational Scientist, Cryptographer, Cryptographic Vulnerability Analyst, Image Scientist, Knowledge Engineer, Mathematician, Research Computing Specialist, Research Scientist, Researcher

* Additional schooling, certification, or degrees maybe be required for some of the potential careers that are listed.
What will I do?
  • 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.
  • Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
  • Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
  • Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
  • Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
  • Perform computations and apply methods of numerical analysis to data.
  • Assemble sets of assumptions, and explore the consequences of each set.
  • Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
  • Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
  • In this career, it is important to know
    Mathematics - Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.

    English Language - Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.

    Computers and Electronics - Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.

    Education and Training - Knowledge of principles and methods for curriculum and training design, teaching and instruction for individuals and groups, and the measurement of training effects.

    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.

    Physics - Knowledge and prediction of physical principles, laws, their interrelationships, and applications to understanding fluid, material, and atmospheric dynamics, and mechanical, electrical, atomic and sub-atomic structures and processes.

    Administration and Management - Knowledge of business and management principles involved in strategic planning, resource allocation, human resources modeling, leadership technique, production methods, and coordination of people and resources.

    Foreign Language - Knowledge of the structure and content of a foreign (non-English) language including the meaning and spelling of words, rules of composition and grammar, and pronunciation.

    Design - Knowledge of design techniques, tools, and principles involved in production of precision technical plans, blueprints, drawings, and models.

    Biology - Knowledge of plant and animal organisms, their tissues, cells, functions, interdependencies, and interactions with each other and the environment.
    It's useful to be good at
    Mathematical Reasoning - The ability to choose the right mathematical methods or formulas to solve a problem.

    Number Facility - The ability to add, subtract, multiply, or divide quickly and correctly.

    Deductive Reasoning - The ability to apply general rules to specific problems to produce answers that make sense.

    Inductive Reasoning - The ability to combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events).

    Information Ordering - The ability to arrange things or actions in a certain order or pattern according to a specific rule or set of rules (e.g., patterns of numbers, letters, words, pictures, mathematical operations).

    Oral Comprehension - The ability to listen to and understand information and ideas presented through spoken words and sentences.

    Written Comprehension - The ability to read and understand information and ideas presented in writing.

    Oral Expression - The ability to communicate information and ideas in speaking so others will understand.

    Category Flexibility - The ability to generate or use different sets of rules for combining or grouping things in different ways.

    Fluency of Ideas - The ability to come up with a number of ideas about a topic (the number of ideas is important, not their quality, correctness, or creativity).
    Employment trends
    Location Pay period 2022
    10% 25% Median% 75% 90%
    United States Hourly $27.73 $39.48 $53.90 $67.34 $82.47
    Yearly $57,680 $82,110 $112,110 $140,070 $171,540
    Arizona Hourly
    Yearly
    2022 Median%
    United States $53.90 Hourly $112,110 Yearly
    Arizona Hourly Yearly

    Employment (2022)
    2,300 employees
    Projected growth (2022 - 2032)
    Slower than average (2% to 3%)
    Projected job openings (2022 - 2032)
    100
    * Data obtained from the Occupational Information Network (O*NET) under sponsorship of the U.S. Department of Labor/Employment and Training Administration (USDOL/ETA).
    What are accelerated programs?
    Accelerated programs allow students the opportunity to expedite the completion of their degree.

    3 year programs

    These programs allow students to fast-track their studies after admission and earn a bachelor's degree in three years or fewer while participating in the same high-quality educational experience of a 4-year option. Students should talk to their academic advisor to get started.

    Accelerated master's

    These programs allow students to accelerate their studies to earn a bachelor's plus a master's degree in as few as five years (for some programs).

    Each program has requirements students must meet to be eligible for consideration. Acceptance to the graduate program requires a separate application. Students typically receive approval to pursue the accelerated master’s during the junior year of their bachelor's degree program. Interested students can learn about eligibility requirements and how to apply.
    What are concurrent programs?
    Concurrent degrees allow students to pursue their own personal or professional interests, earn two distinct degrees and receive two diplomas. To add a concurrent degree to your existing degree, work with your academic advisor.
    What are joint programs?
    Joint programs, or jointly conferred degrees, are offered by more than one college and provide opportunities for students to take advantage of the academic strengths of two academic units. Upon graduation, students are awarded one degree and one diploma conferred by two colleges.

    What constitutes a new program?
    ASU adds new programs to Degree Search frequently. Come back often and look for the “New Programs” option.
    What are online programs?
    ASU Online offers programs in an entirely online format with multiple enrollment sessions throughout the year. See https://asuonline.asu.edu/ for more information.
    What is the Western Undergraduate Exchange (WUE)?
    The Western Undergraduate Exchange (WUE) is a program in which residents of western states (other than Arizona) may be eligible for reduced nonresident tuition. See more information and eligibility requirements on the Western Undergraduate Exchange (WUE) program.

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