Science, Technology, Engineering & Mathematics > Science and Mathematics

Projected Growth: Much faster than average

Projected Job Openings

Extensive Preparation Needed

Job Description

Your job is to 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.

Common job titles of Mathematicians include:

Experience and Education

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.

  • 37.5% said they needed a Master's Degree.

  • 33.33% said they needed a Doctoral Degree.


    Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.

    Assemble sets of assumptions and explore the consequences of each set.

    Perform computations and apply methods of numerical analysis to data.

    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.

    Disseminate research by writing reports, publishing papers, or presenting at professional conferences.

    Develop new principles and new relationships between existing mathematical principles to advance mathematical science.

    Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.

    Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.

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

    Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.


Universal serial bus USB flash drives


Personal computers

Optical disk drives

Laptop computers

Graphing calculators

Desktop computers




IBM SPSS Statistics



Mathsoft Mathcad


All Technologies


Practical extraction and reporting language Perl



The MathWorks MATLAB





Analysis and Visualization of Time Sequences AVTS


Aptech Systems GAUSS




Computer Algebra System for Algebraic Geometry CASA

DataDescription DataDesk


Discrete Dynamics Lab DDLab

DSP Development DADiSP

EleSoft Research

Formula translation/translator FORTRAN


GNU Octave

Graphics Programming Environment GRAPE

GraphPad Software GraphPad Prism


Insightful S-PLUS

Interactive Mathematical Proof System IMPS





MacKichan Software Scientific WorkPlace


Maplesoft Maple


Maximal Software MPL Modeling System

MicroPress VTeX

ModelKinetix ModelMaker

Multipath Corporation Fast Matrix Solver FMS

Numeritek NUMERICA


Polymath Software POLYMATH

Provalis Research Simstat






Systat Software SigmaPlot

The MathWizards MathViews

UNISTAT Statistical Package

Wolfram Research Mathematica



Using mathematics to solve problems.

Reading Comprehension

Understanding written sentences and paragraphs in work related documents.

Critical Thinking

Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.

Complex Problem Solving

Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.

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.


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

Learning Strategies

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


Talking to others to convey information effectively.


Using scientific rules and methods to solve problems.

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.


Choose the right mathematical methods or formulas to solve a problem.

Cognitive Abilities › Quantitative Abilities › Mathematical Reasoning

Add, subtract, multiply, or divide quickly and correctly.

Cognitive Abilities › Quantitative Abilities › Number Facility

Apply general rules to specific problems to produce answers that make sense.

Cognitive Abilities › Idea Generation and Reasoning Abilities › Deductive Reasoning

Read and understand information and ideas presented in writing.

Cognitive Abilities › Verbal Abilities › Written Comprehension

Combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events).

Cognitive Abilities › Idea Generation and Reasoning Abilities › Inductive Reasoning

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).

Cognitive Abilities › Idea Generation and Reasoning Abilities › Information Ordering

Listen to and understand information and ideas presented through spoken words and sentences.

Cognitive Abilities › Verbal Abilities › Oral Comprehension

Come up with a number of ideas about a topic (the number of ideas is important, not their quality, correctness, or creativity).

Cognitive Abilities › Idea Generation and Reasoning Abilities › Fluency of Ideas

Generate or use different sets of rules for combining or grouping things in different ways.

Cognitive Abilities › Idea Generation and Reasoning Abilities › Category Flexibility

Communicate information and ideas in speaking so others will understand.

Cognitive Abilities › Verbal Abilities › Oral Expression

Communicate information and ideas in writing so others will understand.

Cognitive Abilities › Verbal Abilities › Written Expression

Come up with unusual or clever ideas about a given topic or situation, or to develop creative ways to solve a problem.

Cognitive Abilities › Idea Generation and Reasoning Abilities › Originality

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