Mathematicians
What is a Mathematician?
A mathematician is an individual who specializes in the field of mathematics, engaging in the study, research, and application of mathematical theories and principles. Mathematicians explore abstract concepts, develop new theories, and solve mathematical problems that can range from pure mathematical research to practical applications in various fields such as engineering, economics, computer science, and physics. They are often involved in identifying patterns, modeling behaviors, and providing insights through complex calculations and algorithms. Mathematicians may work in academia, conducting research and teaching, or in industry, applying mathematical techniques to real-world challenges. Their work can significantly contribute to advancements in science, technology, and finance, shaping the understanding of quantitative relationships and enhancing decision-making processes. Mathematics is viewed not just as a calculation tool but as a critical language that describes the laws governing the universe.
Tasks
- 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.
- 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.
- Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
Technology Skills
- Analytical or scientific software
- Presentation software
- Object or component oriented development software
- Operating system software
- Development environment software
Tools Used
- Read write digital versatile disc DVD
- Mainframe computers
- Notebook computers
- High capacity removable media drives
- Scientific calculator
Knowledge
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Mathematics
Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
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English Language
Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.
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Computers and Electronics
Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
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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
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Mathematics
Using mathematics to solve problems.
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Critical Thinking
Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions, or approaches to problems.
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Complex Problem Solving
Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.
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Active Learning
Understanding the implications of new information for both current and future problem-solving and decision-making.
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Reading Comprehension
Understanding written sentences and paragraphs in work-related documents.
Abilities
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Mathematical Reasoning
The ability to choose the right mathematical methods or formulas to solve a problem.
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Number Facility
The ability to add, subtract, multiply, or divide quickly and correctly.
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Deductive Reasoning
The ability to apply general rules to specific problems to produce answers that make sense.
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Inductive Reasoning
The ability to combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events).
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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).
Education
How much education does a new hire need to perform a job in this occupation?
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Doctoral degree
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Master's degree
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Bachelor's degree
Work Activities
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Analyzing Data or Information
Identifying the underlying principles, reasons, or facts of information by breaking down information or data into separate parts.
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Making Decisions and Solving Problems
Analyzing information and evaluating results to choose the best solution and solve problems.
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Processing Information
Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying information or data.
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Getting Information
Observing, receiving, and otherwise obtaining information from all relevant sources.
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Thinking Creatively
Developing, designing, or creating new applications, ideas, relationships, systems, or products, including artistic contributions.
Detailed Work Activities
- Analyze data to identify trends or relationships among variables.
- Prepare analytical reports.
- Present research results to others.
- Update knowledge about emerging industry or technology trends.
- Apply mathematical principles or statistical approaches to solve problems in scientific or applied fields.
Work Interests
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Investigative
Work involves studying and researching non-living objects, living organisms, disease or other forms of impairment, or human behavior. Investigative occupations are often associated with physical, life, medical, or social sciences, and can be found in the fields of humanities, mathematics/statistics, information technology, or health care service.
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Conventional
Work involves following procedures and regulations to organize information or data, typically in a business setting. Conventional occupations are often associated with office work, accounting, mathematics/statistics, information technology, finance, or human resources.
Job Outlook
Projected salary and job growth
$62260.0 - $183500.0
New job opportunities are likely in the future. : Average
Assessment
Related assessments and tests
No assessment available.