Mathematician 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.
Mathematician is Also Know as
In different settings, Mathematician is titled as
- Computational Mathematician
- Computational Scientist
- Cryptographer
- Cryptographic Vulnerability Analyst
- Image Scientist
- Knowledge Engineer
- Mathematician
- Research Computing Specialist
- Research Scientist
- Researcher
Education and Training of Mathematician
Mathematician is categorized in Job Zone Five: Extensive Preparation Needed
Experience Required for Mathematician
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.
Education Required for Mathematician
Most of these occupations require graduate school. For example, they may require a master's degree, and some require a Ph.D., M.D., or J.D. (law degree).
Degrees Related to Mathematician
- Bachelor in Biomathematics, Bioinformatics, and Computational
- Associate Degree Courses in Biomathematics, Bioinformatics, and Computational
- Masters Degree Courses in Biomathematics, Bioinformatics, and Computational
- Bachelor in Mathematics, General
- Associate Degree Courses in Mathematics, General
- Masters Degree Courses in Mathematics, General
- Bachelor in Algebra and Number Theory
- Associate Degree Courses in Algebra and Number Theory
- Masters Degree Courses in Algebra and Number Theory
- Bachelor in Analysis and Functional Analysis
- Associate Degree Courses in Analysis and Functional Analysis
- Masters Degree Courses in Analysis and Functional Analysis
- Bachelor in Geometry/Geometric Analysis
- Associate Degree Courses in Geometry/Geometric Analysis
- Masters Degree Courses in Geometry/Geometric Analysis
- Bachelor in Topology and Foundations
- Associate Degree Courses in Topology and Foundations
- Masters Degree Courses in Topology and Foundations
Training Required for Mathematician
Employees may need some on-the-job training, but most of these occupations assume that the person will already have the required skills, knowledge, work-related experience, and/or training.
Related Ocuupations
Some Ocuupations related to Mathematician in different industries are
- Data Scientists
- Physicists
- Statisticians
- Computer and Information Research Scientists
- Bioinformatics Scientists
- Astronomers
- Operations Research Analysts
- Bioinformatics Technicians
- Mathematical Science Teachers, Postsecondary
- Biostatisticians
- Biochemists and Biophysicists
- Financial Quantitative Analysts
- Software Developers
- Physics Teachers, Postsecondary
- Geoscientists, Except Hydrologists and Geographers
- Statistical Assistants
- Geneticists
- Molecular and Cellular Biologists
- Bioengineers and Biomedical Engineers
- Nanosystems Engineers
What Do Mathematician do?
- Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
- Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
- Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
- Perform computations and apply methods of numerical analysis to data.
- 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.
- Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
- 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.
- Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
- Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
Qualities of Good Mathematician
- 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.
- Inductive Reasoning: The ability to combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events).
- Deductive Reasoning: The ability to apply general rules to specific problems to produce answers that make sense.
- Written Comprehension: The ability to read and understand information and ideas presented in writing.
- Oral Comprehension: The ability to listen to and understand information and ideas presented through spoken words and sentences.
- 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 Expression: The ability to communicate information and ideas in speaking so others will understand.
- 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.
- 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).
- Category Flexibility: The ability to generate or use different sets of rules for combining or grouping things in different ways.
- 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.
- 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.
- Selective Attention: The ability to concentrate on a task over a period of time without being distracted.
- 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.
- Speed of Closure: The ability to quickly make sense of, combine, and organize information into meaningful patterns.
- 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.
- Visualization: The ability to imagine how something will look after it is moved around or when its parts are moved or rearranged.
- Memorization: The ability to remember information such as words, numbers, pictures, and procedures.
- Time Sharing: The ability to shift back and forth between two or more activities or sources of information (such as speech, sounds, touch, or other sources).
- Far Vision: The ability to see details at a distance.
- Finger Dexterity: The ability to make precisely coordinated movements of the fingers of one or both hands to grasp, manipulate, or assemble very small objects.
- Visual Color Discrimination: The ability to match or detect differences between colors, including shades of color and brightness.
- Auditory Attention: The ability to focus on a single source of sound in the presence of other distracting sounds.
- Hearing Sensitivity: The ability to detect or tell the differences between sounds that vary in pitch and loudness.
- Depth Perception: The ability to judge which of several objects is closer or farther away from you, or to judge the distance between you and an object.
- Trunk Strength: The ability to use your abdominal and lower back muscles to support part of the body repeatedly or continuously over time without "giving out" or fatiguing.
- Wrist-Finger Speed: The ability to make fast, simple, repeated movements of the fingers, hands, and wrists.
- Gross Body Equilibrium: The ability to keep or regain your body balance or stay upright when in an unstable position.
- Spatial Orientation: The ability to know your location in relation to the environment or to know where other objects are in relation to you.
- Arm-Hand Steadiness: The ability to keep your hand and arm steady while moving your arm or while holding your arm and hand in one position.
- Night Vision: The ability to see under low-light conditions.
- Peripheral Vision: The ability to see objects or movement of objects to one's side when the eyes are looking ahead.
- Glare Sensitivity: The ability to see objects in the presence of a glare or bright lighting.
- Sound Localization: The ability to tell the direction from which a sound originated.
- Manual Dexterity: The ability to quickly move your hand, your hand together with your arm, or your two hands to grasp, manipulate, or assemble objects.
- Gross Body Coordination: The ability to coordinate the movement of your arms, legs, and torso together when the whole body is in motion.
- Dynamic Flexibility: The ability to quickly and repeatedly bend, stretch, twist, or reach out with your body, arms, and/or legs.
- Extent Flexibility: The ability to bend, stretch, twist, or reach with your body, arms, and/or legs.
- Stamina: The ability to exert yourself physically over long periods of time without getting winded or out of breath.
- Dynamic Strength: The ability to exert muscle force repeatedly or continuously over time. This involves muscular endurance and resistance to muscle fatigue.
- Explosive Strength: The ability to use short bursts of muscle force to propel oneself (as in jumping or sprinting), or to throw an object.
- Static Strength: The ability to exert maximum muscle force to lift, push, pull, or carry objects.
- Speed of Limb Movement: The ability to quickly move the arms and legs.
- Reaction Time: The ability to quickly respond (with the hand, finger, or foot) to a signal (sound, light, picture) when it appears.
- Rate Control: The ability to time your movements or the movement of a piece of equipment in anticipation of changes in the speed and/or direction of a moving object or scene.
- Response Orientation: The ability to choose quickly between two or more movements in response to two or more different signals (lights, sounds, pictures). It includes the speed with which the correct response is started with the hand, foot, or other body part.
- Multilimb Coordination: The ability to coordinate two or more limbs (for example, two arms, two legs, or one leg and one arm) while sitting, standing, or lying down. It does not involve performing the activities while the whole body is in motion.
- Control Precision: The ability to quickly and repeatedly adjust the controls of a machine or a vehicle to exact positions.
Tools Used by Mathematician
- Desktop computers
- Graphing calculators
- Laptop computers
- Optical disk drives
- Personal computers
- Supercomputers
- Universal serial bus USB flash drives
Technology Skills required for Mathematician
- Adobe Photoshop
- Algae
- AMPL
- Analyse-it
- Analysis and Visualization of Time Sequences AVTS
- Apfloat
- Apple macOS
- Apple Shazam
- Aptech Systems GAUSS
- ARfit
- Aztec
- Bash
- C
- C#
- C++
- Cascading style sheets CSS
- Computer Algebra System for Algebraic Geometry CASA
- Data visualization software
- DataDescription DataDesk
- DifEqu
- Discrete Dynamics Lab DDLab
- DSP Development DADiSP
- EleSoft Research
- Extensible markup language XML
- Formula translation/translator FORTRAN
- Geomview
- GNU Octave
- Graphics Programming Environment GRAPE
- GraphPad Software GraphPad Prism
- Hypertext markup language HTML
- IBM SPSS Amos
- IBM SPSS Statistics
- Insightful S-PLUS
- Interactive Mathematical Proof System IMPS
- JACAL
- JavaScript
- KANT
- KSEG
- LINDO Systems LINDO API
- Linux
- MacKichan Software Scientific WorkPlace
- Magma Design Automation software
- Maplesoft Maple
- Mathsoft Mathcad
- Maxima Software
- Maximal Software MPL Modeling System
- MicroPress VTeX
- Microsoft Access
- Microsoft Excel
- Microsoft Office software
- Microsoft operating system
- Microsoft Outlook
- Microsoft PowerPoint
- Microsoft Visual Basic
- Microsoft Visual Studio
- Microsoft Windows
- Microsoft Word
- Minitab
- ModelKinetix ModelMaker
- Multipath Corporation Fast Matrix Solver FMS
- MySQL
- Numeritek NUMERICA
- Object oriented development environment software
- Oracle Java
- PARI/GP
- Perl
- PHP
- Polymath Software POLYMATH
- Provalis Research Simstat
- Python
- R
- Sage Accounting Software
- Salesforce software
- SAS
- StataCorp Stata
- STATISTICA
- Structured query language SQL
- SuperANOVA
- Symmetrica
- Systat Software SigmaPlot
- Tableau
- The MathWizards MathViews
- The MathWorks MATLAB
- UNISTAT Statistical Package
- UNIX
- User interface design software
- Vormetric Application Encryption
- Web browser software
- Web server software
- Wolfram Research Mathematica