Mathematicians
A Mathematician conducts research in advanced mathematics to further mathematical knowledge. Develops applied mathematical models and formulas to address real-world problems in science, engineering, business, and other fields, or studies issues purely within mathematics.
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Core Tasks
- Addresses seminars, conferences and the media to present results of research activity or to express professional views.
- Provides economic or statistical advice to governments, commercial enterprises, organisations and other clients in light of research findings.
- Designs and manages surveys and uses statistical techniques in order to analyse and interpret the quantitative data collected.
- Uses appropriate techniques and theoretical principles to determine an appropriate method of data collection and research methodology, analyse and interpret information gained and formulate recommendations on issues such as future trends, improved efficiency.
- Uses a variety of techniques and theoretical principles to establish probability and risk in respect of e.g. life insurance or pensions.
- Assesses the objectives and requirements of the organisation seeking advice.
Skills
Using mathematics to solve problems.
Understanding the implications of new information for both current and future problem-solving and decision-making.
Communicating effectively in writing as appropriate for the needs of the audience.
Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
Understanding written sentences and paragraphs in work related documents.
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.
Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.
Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
Talking to others to convey information effectively.
Using scientific rules and methods to solve problems.
Education Requirements
Level | Percentage |
Level 2 | 0.717208% |
Level 3 | 5.662684% |
Level 4-5 (Higher Education) | 2.065233% |
Level 6 (Bachelors) | 51.234737% |
Level 7 (Masters or equivalent) | 30.452003% |
Level 8 (Doctorate) | 9.868132% |
Salary Levels
£66,902.62
Potential Salary
£23,166.00
Entry Level Salary
£39,665.02
Average Salary
7
Annual Openings
Knowledge
Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
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, rules of composition, and grammar.
Knowledge of economic and accounting principles and practices, the financial markets, banking and the analysis and reporting of financial data.
Knowledge of business and management principles involved in strategic planning, resource allocation, human resources modelling, leadership technique, production methods, and coordination of people and resources.
Knowledge of principles and processes for providing customer and personal services. This includes customer needs assessment, meeting quality standards for services, and evaluation of customer satisfaction.
Knowledge of principles and methods for showing, promoting, and selling products or services. This includes marketing strategy and tactics, product demonstration, sales techniques, and sales control systems.
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 laws, legal codes, court procedures, precedents, government regulations, executive orders, agency rules, and the democratic political process.
Knowledge of principles and procedures for personnel recruitment, selection, training, compensation and benefits, labour relations and negotiation, and personnel information systems.
Knowledge of principles and methods for describing the features of land, sea, and air masses, including their physical characteristics, locations, interrelationships, and distribution of plant, animal, and human life.
Knowledge of media production, communication, and dissemination techniques and methods. This includes alternative ways to inform and entertain via written, oral, and visual media.
Knowledge of administrative and clerical procedures and systems such as word processing, managing files and records, stenography and transcription, designing forms, and other office procedures and terminology.
Knowledge of group behaviour and dynamics, societal trends and influences, human migrations, ethnicity, cultures and their history and origins.
Knowledge of plant and animal organisms, their tissues, cells, functions, interdependencies, and interactions with each other and the environment.
Knowledge of transmission, broadcasting, switching, control, and operation of telecommunications systems.
Knowledge of the practical application of engineering science and technology. This includes applying principles, techniques, procedures, and equipment to the design and production of various goods and services.
Knowledge of historical events and their causes, indicators, and effects on civilizations and cultures.
Knowledge of human behaviour and performance; individual differences in ability, personality, and interests; learning and motivation; psychological research methods; and the assessment and treatment of behavioural and affective disorders.
Knowledge of the information and techniques needed to diagnose and treat human injuries, diseases, and deformities. This includes symptoms, treatment alternatives, drug properties and interactions, and preventive health-care measures.
Knowledge of principles and methods for moving people or goods by air, rail, sea, or road, including the relative costs and benefits.
Knowledge of relevant equipment, policies, procedures, and strategies to promote effective local, state, or national security operations for the protection of people, data, property, and institutions.
Knowledge of different philosophical systems and religions. This includes their basic principles, values, ethics, ways of thinking, customs, practices, and their impact on human culture.
Knowledge of design techniques, tools, and principles involved in production of precision technical plans, blueprints, drawings, and models.
Knowledge of raw materials, production processes, quality control, costs, and other techniques for maximizing the effective manufacture and distribution of goods.
Knowledge of the chemical composition, structure, and properties of substances and of the chemical processes and transformations that they undergo. This includes uses of chemicals and their interactions, danger signs, production techniques, and disposal methods.
Knowledge of principles, methods, and procedures for diagnosis, treatment, and rehabilitation of physical and mental dysfunctions, and for career counselling and guidance.
Knowledge of materials, methods, and the tools involved in the construction or repair of houses, buildings, or other structures such as highways and roads.
Knowledge of the structure and content of a foreign (non-English) language including the meaning and spelling of words, rules of composition and grammar, and pronunciation.
Knowledge and prediction of physical principles, laws, their interrelationships, and applications to understanding fluid, material, and atmospheric dynamics, and mechanical, electrical, atomic and sub- atomic structures and processes.
Knowledge of machines and tools, including their designs, uses, repair, and maintenance.
Knowledge of the theory and techniques required to compose, produce, and perform works of music, dance, visual arts, drama, and sculpture.
Knowledge of techniques and equipment for planting, growing, and harvesting food products (both plant and animal) for consumption, including storage/handling techniques.