Mathematician
Mathematicians
15-2021.00
Median wages
No data available
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.
- 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.
- Assemble sets of assumptions and explore the consequences of each set.
- Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
- 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.
- 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.
- Analytical or scientific software — SAS ; Symmetrica; The MathWizards MathViews; The MathWorks MATLAB
- Data base management system software — MySQL
- Data base user interface and query software — Microsoft Access ; Structured query language SQL
- Desktop publishing software — MicroPress VTeX
- Development environment software — C ; Formula translation/translator FORTRAN; Microsoft Visual Basic
- Electronic mail software — Microsoft Outlook
- Enterprise application integration software — Extensible markup language XML
- Graphics or photo imaging software — Adobe Systems Adobe Photoshop
- Internet browser software — Web browser software
- Object or component oriented development software — C# ; C++ ; Python ; R
- Office suite software — Microsoft Office
- Operating system software — Linux ; UNIX
- Presentation software — Microsoft PowerPoint
- Spreadsheet software — Microsoft Excel
- Web platform development software — JavaScript ; PHP: Hypertext Preprocessor
- Word processing software — Microsoft Word
- Mathematics — Using mathematics to solve problems.
- Complex Problem Solving — Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.
- Critical Thinking — Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
- Reading Comprehension — Understanding written sentences and paragraphs in work related documents.
- Active Learning — Understanding the implications of new information for both current and future problem-solving and decision-making.
- Active Listening — Giving full attention to what other people are saying, taking time to understand the points being made, asking questions as appropriate, and not interrupting at inappropriate times.
- Writing — Communicating effectively in writing as appropriate for the needs of the audience.
- Judgment and Decision Making — Considering the relative costs and benefits of potential actions to choose the most appropriate one.
- Learning Strategies — Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
- Science — Using scientific rules and methods to solve problems.
- Speaking — Talking to others to convey information effectively.
- Systems Analysis — Determining how a system should work and how changes in conditions, operations, and the environment will affect outcomes.
- Systems Evaluation — Identifying measures or indicators of system performance and the actions needed to improve or correct performance, relative to the goals of the system.
