Careers > Mathematicians

Mathematicians

$112.11K Median Salary 200 Job Openings (Annual Projection) 3.7% Job Growth

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About This Career

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.

Reported Job Titles

Computational Mathematician, Computational Scientist, Cryptographer, Cryptographic Vulnerability Analyst, Image Scientist, Knowledge Engineer, Mathematician, Research Computing Specialist, Research Scientist, Researcher

Career data shown for:

Skills You'll Need

Click on skills to find related courses.

Abilities

Mathematical Reasoning

Number Facility

Deductive Reasoning

Inductive Reasoning

Information Ordering

Oral Comprehension

Written Comprehension

Oral Expression

Category Flexibility

Fluency of Ideas

Problem Sensitivity

Written Expression

Near Vision

Originality

Flexibility of Closure

Perceptual Speed

Selective Attention

Speech Clarity

Speech Recognition

Speed of Closure

Knowledge

Mathematics

English Language

Computers and Electronics

Education and Training

Skills

Mathematics

Critical Thinking

Complex Problem Solving

Active Learning

Reading Comprehension

Science

Judgment and Decision Making

Writing

Active Listening

Learning Strategies

Speaking

Systems Analysis

Instructing

Systems Evaluation

Monitoring

Technology Skills

Analytical or scientific software

Presentation software

Object or component oriented development software

Operating system software

Development environment software

Web platform development software

Data base user interface and query software

Spreadsheet software

Electronic mail software

Graphics or photo imaging software

Desktop publishing software

Network security or virtual private network VPN management software

Customer relationship management CRM software

Enterprise application integration software

Transaction server software

Office suite software

Word processing software

Data base management system software

Business intelligence and data analysis software

Internet browser software

Program testing software

Tools

Read write digital versatile disc DVD

Mainframe computers

Notebook computers

High capacity removable media drives

Scientific calculator

Desktop computers

Personal computers

Abilities

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).
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 that there is a problem.
Written Expression: The ability to communicate information and ideas in writing so others will understand.
Near Vision: The ability to see details at close range (within a few feet of the observer).
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.
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.
Perceptual Speed: The ability to quickly and accurately compare similarities and differences among sets of letters, numbers, objects, pictures, or patterns. The things to be compared may be presented at the same time or one after the other. This ability also includes comparing a presented object with a remembered object.
Selective Attention: The ability to concentrate on a task over a period of time without being distracted.
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.
Speed of Closure: The ability to quickly make sense of, combine, and organize information into meaningful patterns.

Knowledge

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.

Skills

Mathematics: Using mathematics to solve problems.
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.
Reading Comprehension: Understanding written sentences and paragraphs in work-related documents.
Science: 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.
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.
Learning Strategies: Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
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.
Instructing: Teaching others how to do something.
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.
Monitoring: Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.

Technology Skills

Analytical or scientific software: Statistical analysis software; TapRooT
Presentation software: Microsoft PowerPoint
Object or component oriented development software: Oracle Java
Operating system software: Microsoft Windows
Development environment software: Adobe Systems Adobe Creative Suite
Web platform development software: Microsoft Active Server Pages ASP
Data base user interface and query software: Blackboard software; Database software; Microsoft Access; Yardi software
Spreadsheet software: Microsoft Excel
Electronic mail software: IBM Notes; Microsoft Exchange; Microsoft Outlook
Graphics or photo imaging software: SmugMug Flickr
Desktop publishing software: Adobe Systems Adobe InDesign; Microsoft Publisher
Network security or virtual private network VPN management software: Virtual private networking VPN software
Customer relationship management CRM software: Blackbaud The Raiser's Edge; Microsoft Dynamics; Salesforce.com Salesforce CRM
Enterprise application integration software: Electronic Data Interchange EDI systems
Transaction server software: Customer information control system CICS
Office suite software: Microsoft Office software
Word processing software: 3M Post-it App; Evernote; Google Docs; Microsoft Word
Data base management system software: Apache Solr; Elasticsearch; MySQL
Business intelligence and data analysis software: BrightEdge; Conductor Searchlight; IBM Digital Analytics; Searchmetrics Suite
Internet browser software: Web browser software
Program testing software: Selenium

Tools

Read write digital versatile disc DVD: Optical disk drives
Mainframe computers:
Notebook computers: Laptop computers
High capacity removable media drives: Universal serial bus USB flash drives
Scientific calculator: Digital calculators
Desktop computers:
Personal computers:

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