Mathematicians
SOC: 15-2021.00

Description:

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.


National Salary Information:

Hourly Statistics:

Annual Statistics:

Source: Bureau of Labor Statistics 2015 wage data.


Employment Projections:

Employment (2014):
3,500 employed

Projected (2024):
4,200 employed

Projected growth (2014-2024)


Source: Bureau of Labor Statistics 2015 2014-2024 employment projections external site. "Projected growth" represents the estimated change in total employment over the projections period (2014-2024). "Projected job openings" represent openings due to growth and replacement.


Alternate Titles:

  • Agent-Based Modeler
  • Algebraist
  • Applied Mathematician
  • Cipher Expert
  • Computational Mathematician
  • Computational Physicist
  • Computational Scientist
  • Consultant
  • Cryptanalyst
  • Cryptographer
  • Cryptographic Vulnerability Analyst
  • Director of Quantitative Research
  • Emerging Solutions Executive
  • Engineering Mathematician
  • Geometrician
  • Image Scientist
  • Knowledge Engineer
  • Lead Simulation Modeling Engineer
  • Mathematician
  • Nanotechnologist
  • Numerical Analysis Group Manager
  • Research Computing Specialist
  • Research Scientist
  • Scientist
  • Technical Fellow


  • Job Zone Five: Extensive Preparation Needed

    Experience:

    Extensive skill, knowledge, and experience are needed for these occupations. Many require more than five years of experience. For example, surgeons must complete four years of college and an additional five to seven years of specialized medical training to be able to do their job.

    Education:

    Most of these occupations require graduate school. For example, they may require a master's degree, and some require a Ph.D., M.D., or J.D. (law degree).

    Job Training:

    Employees may need some on-the-job training, but most of these occupations assume that the person will already have the required skills, knowledge, work-related experience, and/or training.


    Required Skills:

  • Reading Comprehension
  • Active Listening
  • Writing
  • Speaking
  • Mathematics
  • Science
  • Critical Thinking
  • Active Learning
  • Learning Strategies
  • Monitoring
  • Social Perceptiveness
  • Coordination
  • Persuasion
  • Negotiation
  • Instructing
  • Service Orientation
  • Complex Problem Solving
  • Operations Analysis
  • Technology Design
  • Programming
  • Operation Monitoring
  • Quality Control Analysis
  • Judgment and Decision Making
  • Systems Analysis
  • Systems Evaluation
  • Time Management
  • Management of Financial Resources
  • Management of Material Resources
  • Management of Personnel Resources

  • Knowledge Used:

  • Administration and Management
  • Clerical
  • Economics and Accounting
  • Sales and Marketing
  • Customer and Personal Service
  • Personnel and Human Resources
  • Production and Processing
  • Computers and Electronics
  • Engineering and Technology
  • Design
  • Mechanical
  • Mathematics
  • Physics
  • Chemistry
  • Biology
  • Psychology
  • Sociology and Anthropology
  • Geography
  • Education and Training
  • English Language
  • Foreign Language
  • History and Archeology
  • Philosophy and Theology
  • Public Safety and Security
  • Law and Government
  • Telecommunications
  • Communications and Media
  • Transportation


  • Tasks:

  • Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
  • Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
  • Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
  • Perform computations and apply methods of numerical analysis to data.
  • Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
  • 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.
  • Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
  • Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
  • Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
  • Disseminate research by writing reports, publishing papers, or presenting at professional conferences.

  • Tools & Technology:

  • Desktop computers
  • Graphing calculators
  • Laptop computers
  • Optical disk drives
  • Personal computers
  • Supercomputers
  • Universal serial bus USB flash drives
  • Adobe Systems Adobe Photoshop software
  • Algae
  • AMPL
  • Analyse-it
  • Analysis and Visualization of Time Sequences AVTS
  • Apfloat
  • Aptech Systems GAUSS software
  • ARfit
  • AUTO
  • Aztec
  • C
  • C#
  • C++
  • Computer Algebra System for Algebraic Geometry CASA
  • Data Description Data Desk software
  • DifEqu
  • Discrete Dynamics Lab DDLab
  • DSP Development DADiSP
  • EleSoft Research software
  • Extensible markup language XML
  • Formula translation/translator FORTRAN
  • Geomview
  • GNU Octave
  • Graphics Programming Environment GRAPE
  • GraphPad Software GraphPad Prism
  • Insightful S-PLUS
  • Interactive Mathematical Proof System IMPS
  • JACAL
  • JavaScript
  • Kant
  • KSEG
  • LINDO Systems LINDO API
  • Linux
  • MacKichan Software Scientific WorkPlace
  • Magma
  • Maplesoft Maple
  • Mathsoft Mathcad
  • Maxima
  • Maximal Software MPL Modeling System
  • MicroPress VTeX software
  • Microsoft Access
  • Microsoft Excel
  • Microsoft Office software
  • Microsoft Outlook
  • Microsoft PowerPoint
  • Microsoft Visual Basic
  • Microsoft Word
  • Minitab software
  • ModelKinetix ModelMaker
  • Multipath Corporation Fast Matrix Solver FMS
  • MySQL software
  • Numeritek NUMERICA
  • Oracle Java
  • PARI/GP
  • PHP: Hypertext Preprocessor
  • Polymath Software POLYMATH
  • Practical extraction and reporting language Perl
  • Provalis Research Simstat
  • Python
  • R
  • SAGE
  • SAS software
  • SHAZAM
  • SPSS Amos
  • SPSS software
  • StataCorp Stata
  • StatSoft STATISTICA software
  • Structured query language SQL
  • SuperANOVA
  • Symmetrica
  • Systat Software SigmaPlot
  • The MathWizards MathViews
  • The MathWorks MATLAB
  • UNISTAT Statistical Package
  • UNIX
  • Web browser software
  • Wolfram Research Mathematica


  • computer and mathematical


    industry stats

    SOC: 15-0000

    Total Employed: 4,005,250

    Average Annual Salary: $86,170