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Mathematicians
(SOC Code : 15-2021)
in California

Conduct research in fundamental mathematics or in application of mathematical techniques to science, management, and other fields. Solve or direct solutions to problems in various fields by mathematical methods.

Employers are usually looking for candidates with a Master's degree .

Occupational Wages[Top]
AreaYearPeriodHourly MeanHourly by Percentile
25thMedian75th
California 20231st Qtr$63.20$49.82$67.01$74.77

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Occupational Projections of Employment (also called "Outlook" or "Demand")[Top]
Projections for this occupation in California are not available.

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Industries Employing This Occupation (click on Industry Title to View Employers List)[Top]
Industry Title
Number of Employers in State of California
Percent of Total
Employment for Occupation in State of California
Scientific Research and Developm10,1214.0%

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Training Programs (click on title for more information)[Top]
Program Title
Algebra and Number Theory
Applied Mathematics, General
Applied Mathematics, Other
Logic
Mathematics and Statistics, Other

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About This Occupation (from O*NET - The Occupation Information Network)[Top]
Top Tasks (Specific duties and responsibilities of this job.)
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.

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Top Skills used in this Job
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.
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.
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.
Science - Using scientific rules and methods to solve problems.

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Top Abilities (Attributes of the person that influence performance in this job.)
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).
Written Comprehension - The ability to read and understand information and ideas presented in writing.

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Top Work Values (Aspects of this job that create satisfaction.)
Achievement - Occupations that satisfy this work value are results oriented and allow employees to use their strongest abilities, giving them a feeling of accomplishment.
Recognition - Occupations that satisfy this work value offer advancement, potential for leadership, and are often considered prestigious.

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Top Interests (The types of activities someone in this job would like.)
Investigative - Investigative occupations frequently involve working with ideas, and require an extensive amount of thinking. These occupations can involve searching for facts and figuring out problems mentally.
Conventional - Conventional occupations frequently involve following set procedures and routines. These occupations can include working with data and details more than with ideas. Usually there is a clear line of authority to follow.

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