# Mathematicians

**Also called: **Agent-Based Modeler, Algebraist, Applied Mathematician, Cipher Expert, Computational Mathematician

**Also called: **Agent-Based Modeler, Algebraist, Applied Mathematician, Cipher Expert, Computational Mathematician

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.
- Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.

**Electronic Mail**— 88% responded "Every day".**Freedom to Make Decisions**— 71% responded "A lot of freedom".**Importance of Being Exact or Accurate**— 67% responded "Extremely important".**Structured versus Unstructured Work**— 63% responded "A lot of freedom".**Spend Time Sitting**— 55% responded "Continually or almost continually".**Face-to-Face Discussions**— 50% responded "Once a week or more but not every day".**Indoors, Environmentally Controlled**— 75% responded "Every day".**Telephone**— 63% responded "Once a week or more but not every day".**Impact of Decisions on Co-workers or Company Results**— 42% responded "Moderate results".**Level of Competition**— 38% responded "Highly competitive".**Work With Work Group or Team**— 27% responded "Important".**Contact With Others**— 53% responded "Contact with others about half the time".

**Interacting With Computers**— Using computers and computer systems (including hardware and software) to program, write software, set up functions, enter data, or process information.**Analyzing Data or Information**— Identifying the underlying principles, reasons, or facts of information by breaking down information or data into separate parts.**Making Decisions and Solving Problems**— Analyzing information and evaluating results to choose the best solution and solve problems.**Getting Information**— Observing, receiving, and otherwise obtaining information from all relevant sources.**Thinking Creatively**— Developing, designing, or creating new applications, ideas, relationships, systems, or products, including artistic contributions.**Processing Information**— Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying information or data.**Updating and Using Relevant Knowledge**— Keeping up-to-date technically and applying new knowledge to your job.**Communicating with Supervisors, Peers, or Subordinates**— Providing information to supervisors, co-workers, and subordinates by telephone, in written form, e-mail, or in person.**Estimating the Quantifiable Characteristics of Products, Events, or Information**— Estimating sizes, distances, and quantities; or determining time, costs, resources, or materials needed to perform a work activity.**Interpreting the Meaning of Information for Others**— Translating or explaining what information means and how it can be used.**Identifying Objects, Actions, and Events**— Identifying information by categorizing, estimating, recognizing differences or similarities, and detecting changes in circumstances or events.**Documenting/Recording Information**— Entering, transcribing, recording, storing, or maintaining information in written or electronic/magnetic form.**Organizing, Planning, and Prioritizing Work**— Developing specific goals and plans to prioritize, organize, and accomplish your work.**Provide Consultation and Advice to Others**— Providing guidance and expert advice to management or other groups on technical, systems-, or process-related topics.**Training and Teaching Others**— Identifying the educational needs of others, developing formal educational or training programs or classes, and teaching or instructing others.**Developing Objectives and Strategies**— Establishing long-range objectives and specifying the strategies and actions to achieve them.**Communicating with Persons Outside Organization**— Communicating with people outside the organization, representing the organization to customers, the public, government, and other external sources. This information can be exchanged in person, in writing, or by telephone or e-mail.**Establishing and Maintaining Interpersonal Relationships**— Developing constructive and cooperative working relationships with others, and maintaining them over time.

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

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.

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.

Mathematics

- Using mathematics to solve problems.

Reading Comprehension

- Understanding written sentences and paragraphs in work related documents.

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.

Active Learning

- Understanding the implications of new information for both current and future problem-solving and decision-making.

Writing

- Communicating effectively in writing as appropriate for the needs of the audience.

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.

Speaking

- Talking to others to convey information effectively.

Science

- Using scientific rules and methods to solve problems.

Learning Strategies

- Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.

Judgment and Decision Making

- Considering the relative costs and benefits of potential actions to choose the most appropriate one.

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.

Mathematical Reasoning

- The ability to choose the right mathematical methods or formulas to solve a problem.

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.

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.

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).

Written Comprehension

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

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).

Written Comprehension

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

Oral Comprehension

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

Oral Comprehension

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

Problem Sensitivity

- The ability to tell when something is wrong or is likely to go wrong. It does not involve solving the problem, only recognizing there is a problem.

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).

Problem Sensitivity

- The ability to tell when something is wrong or is likely to go wrong. It does not involve solving the problem, only recognizing there is a problem.

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).

Category Flexibility

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

Category Flexibility

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

Near Vision

- The ability to see details at close range (within a few feet of the observer).

Near Vision

- The ability to see details at close range (within a few feet of the observer).

Oral Expression

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

Oral Expression

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

Written Expression

- The ability to communicate information and ideas in writing so others will understand.

Written Expression

- The ability to communicate information and ideas in writing so others will understand.

Originality

- The ability to come up with unusual or clever ideas about a given topic or situation, or to develop creative ways to solve a problem.

Originality

- The ability to come up with unusual or clever ideas about a given topic or situation, or to develop creative ways to solve a problem.

Speech Recognition

- The ability to identify and understand the speech of another person.

Speech Clarity

- The ability to speak clearly so others can understand you.

Speech Clarity

- The ability to speak clearly so others can understand you.

Speech Recognition

- The ability to identify and understand the speech of another person.

Flexibility of Closure

- The ability to identify or detect a known pattern (a figure, object, word, or sound) that is hidden in other distracting material.

Flexibility of Closure

- The ability to identify or detect a known pattern (a figure, object, word, or sound) that is hidden in other distracting material.

Selective Attention

- The ability to concentrate on a task over a period of time without being distracted.

Selective Attention

- The ability to concentrate on a task over a period of time without being distracted.

People interested in this work like activities that include **ideas, thinking,** and figuring things out.

They do well at jobs that need:

- Achievement/Effort

- Persistence

- Initiative

- Leadership

- Cooperation

- Concern for Others

- Social Orientation

- Self Control

- Stress Tolerance

- Adaptability/Flexibility

- Dependability

- Attention to Detail

- Integrity

- Independence

- Innovation

- Analytical Thinking

You might use software like this on the job:

Graphics or photo imaging software

- Adobe Systems Adobe Photoshop

Operating system software

- Linux
- UNIX

Spreadsheet software

- Microsoft Excel

Analytical or scientific software

- SAS
- IBM SPSS Statistics
- Minitab
- The MathWorks MATLAB
- JACAL
- Numeritek NUMERICA
- Multipath Corporation Fast Matrix Solver FMS
- ModelKinetix ModelMaker
- PARI/GP
- UNISTAT Statistical Package
- The MathWizards MathViews
- Systat Software SigmaPlot
- Symmetrica
- SuperANOVA
- Aztec
- STATISTICA
- StataCorp Stata
- SHAZAM
- SAGE
- Provalis Research Simstat
- Polymath Software POLYMATH
- Wolfram Research Mathematica
- EleSoft Research
- DSP Development DADiSP
- Discrete Dynamics Lab DDLab
- DifEqu
- DataDescription DataDesk
- Computer Algebra System for Algebraic Geometry CASA
- AUTO
- ARfit
- Aptech Systems GAUSS
- Apfloat
- Analysis and Visualization of Time Sequences AVTS
- Analyse-it
- AMPL
- Geomview
- GNU Octave
- Maximal Software MPL Modeling System
- Maxima
- Mathsoft Mathcad
- Maplesoft Maple
- Magma
- MacKichan Software Scientific WorkPlace
- LINDO Systems LINDO API
- KSEG
- Kant
- Interactive Mathematical Proof System IMPS
- Insightful S-PLUS
- IBM SPSS Amos
- GraphPad Software GraphPad Prism
- Graphics Programming Environment GRAPE
- Algae

Data base management system software

- MySQL

Enterprise application integration software

- Extensible markup language XML

Object or component oriented development software

- R
- Python
- Practical extraction and reporting language Perl
- Oracle Java
- C#
- C++

Web platform development software

- JavaScript
- PHP: Hypertext Preprocessor

Development environment software

- Microsoft Visual Basic
- C
- Formula translation/translator FORTRAN

Data base user interface and query software

- Microsoft Access
- Structured query language SQL

Office suite software

- Microsoft Office

Electronic mail software

- Microsoft Outlook

Presentation software

- Microsoft PowerPoint

Word processing software

- Microsoft Word

Internet browser software

- Web browser software

Desktop publishing software

- MicroPress VTeX

Share:

**Mathematicians** are also called:

- Agent-Based Modeler
- Algebraist
- Applied Mathematician
- Cipher Expert
- Computational Mathematician
- Computational Scientist
- Cryptanalyst
- Cryptographer
- Cryptographic Vulnerability Analyst
- Engineering Mathematician
- Geometrician
- Image Scientist
- Lead Simulation Modeling Engineer
- Math Researcher
- Mathematician