Mathematicians
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.
At a Glance
Mathematicians earns a median of $121,680/yr with -0.7% projected growth. Typical entry: Master's degree. Top skills: Mathematics, Mathematical Reasoning, Mathematics.
$121,680/yr
-0.7%
N/A
Master's degree
Skills & Requirements
Skills (11)
Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions, or approaches to problems.
Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.
Understanding the implications of new information for both current and future problem-solving and decision-making.
Considering the relative costs and benefits of potential actions to choose the most appropriate one.
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.
Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
Knowledge (4)
Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
Knowledge of principles and methods for curriculum and training design, teaching and instruction for individuals and groups, and the measurement of training effects.
Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
Knowledge of the structure and content of the English language including the meaning and spelling of words, and rules of composition and grammar.
Abilities (15)
The ability to choose the right mathematical methods or formulas to solve a problem.
The ability to communicate information and ideas in writing so others will understand.
The ability to listen to and understand information and ideas presented through spoken words and sentences.
The ability to read and understand information and ideas presented in writing.
The ability to communicate information and ideas in speaking so others will understand.
The ability to apply general rules to specific problems to produce answers that make sense.
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).
The ability to combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events).
The ability to generate or use different sets of rules for combining or grouping things in different ways.
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).
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.
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.
The ability to identify or detect a known pattern (a figure, object, word, or sound) that is hidden in other distracting material.
Technology (35)
Category: Enterprise application integration software | Hot Technology
Category: Data base user interface and query software | Hot Technology
Work Activities (15)
Developing, designing, or creating new applications, ideas, relationships, systems, or products, including artistic contributions.
Identifying the underlying principles, reasons, or facts of information by breaking down information or data into separate parts.
Keeping up-to-date technically and applying new knowledge to your job.
Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying information or data.
Identifying the educational needs of others, developing formal educational or training programs or classes, and teaching or instructing others.
Using computers and computer systems (including hardware and software) to program, write software, set up functions, enter data, or process information.
Observing, receiving, and otherwise obtaining information from all relevant sources.
Analyzing information and evaluating results to choose the best solution and solve problems.
Translating or explaining what information means and how it can be used.
Providing information to supervisors, co-workers, and subordinates by telephone, in written form, e-mail, or in person.
Developing specific goals and plans to prioritize, organize, and accomplish your work.
Identifying the developmental needs of others and coaching, mentoring, or otherwise helping others to improve their knowledge or skills.
Entering, transcribing, recording, storing, or maintaining information in written or electronic/magnetic form.
Establishing long-range objectives and specifying the strategies and actions to achieve them.
Estimating sizes, distances, and quantities; or determining time, costs, resources, or materials needed to perform a work activity.
Work Styles (1)
Careers with Overlapping Skills
These occupations share the most skills. A career transition between them means many of your skills transfer directly.
Software Quality Assurance Analysts and Testers
Computer and Mathematical · 220 shared skills
Computer Systems Analysts
Computer and Mathematical · 219 shared skills
Software Developers
Computer and Mathematical · 219 shared skills
Information Technology Project Managers
Computer and Mathematical · 217 shared skills
Computer Systems Engineers/Architects
Computer and Mathematical · 216 shared skills
Management Analysts
Business and Financial Operations · 216 shared skills
Database Administrators
Computer and Mathematical · 215 shared skills
Database Architects
Computer and Mathematical · 215 shared skills
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