Execute analytical mathematical calculations

Apply mathematical methods and make use of calculation technologies in order to perform analyses and devise solutions to specific problems.

skill/competence

cross-sector

Execute analytical mathematical calculations is an essential skill of the following occupations:

Biomedical engineer: Biomedical engineers combine knowledge of engineering principles and biological findings for the development of medical treatments, medicaments, and general healthcare purposes. They can develop solutions ranging from the improvement of the components in conventional medicaments up to implants developments, and tissue treatment.
Marine engineering technician: Marine engineering technicians carry out technical functions to help marine engineers with the design, development, manufacturing and testing processes, installation and maintenance of all types of boats from pleasure crafts to naval vessels, including submarines. They also conduct experiments, collect and analyse data and report their findings.
Aerospace engineering technician: Aerospace engineering technicians work with aerospace engineers to operate, maintain and test equipment used on aircraft and spacecraft. They review blueprints and instructions to determine test specifications and procedures. They use software to make sure that parts of a spacecraft or aircraft are functioning properly. They record test procedures and results, and make recommendations for changes.
Meteorology technician: Meteorology technicians collect large amounts of meteorological information for weather information users such as aviation companies or meteorological institutions. They operate specialised measuring instruments to make accurate weather predictions and report their observations. Meteorology technicians assist meteorologists in their scientific operations.
Rolling stock engineering technician: Rolling stock engineering technicians carry out technical functions to help rolling stock engineers with the design, development, manufacturing and testing processes, installation and maintenance of rail vehicles such as wagons, multiple units, carriages and locomotives. They also conduct experiments, collect and analyse data and report their findings.
Business economics researcher: Business economics researchers conduct research on topics regarding economy, organisations, and strategy. They analyse macroeconomic and microeconomic trends and use this information to analyse the positions of industries or specific companies in the economy. They provide advice regarding strategic planning, product feasibility, forecast trends, emerging markets, taxing policies, and consumer trends.
Equipment engineer: Equipment engineers design and maintain the machinery and equipment in manufacturing facilities. They design machinery that adjusts to the manufacturing requirements and processes. Moreover, they envision the maintenance of the machines and equipment for uninterrupted functioning.

Meteorologist: Meteorologists study climate processes, measure and predict weather patterns and provide consultancy services to a variety of weather information users. They work out models for weather forecasting, develop instruments to collect meteorological data and compile statistics and databases.
Aerospace engineering drafter: Aerospace engineering drafters convert the aerospace engineers’ designs into technical drawings usually using computer-aided design programs. Their drawings detail dimensions, fastening and assembling methods and other specifications used in the manufacture of aircrafts and spacecrafts.
Automotive designer: Automotive designers create model designs in 2D or 3D and prepare isometric drawings and graphics. They also conduct research collecting data about (new) materials, market trends and production processes.
Agricultural technician: Agricultural technicians collect and conduct experiments and tests on agriculture and aquaculture specimens. They provide support to scientists and farmers and also analyse and report on conditions in the collected specimens’ environments.
Component engineer: Component engineers design and envision the engineering development of different small parts composing a bigger project, machine, or process. They ensure that parts are not conflicting from an engineering perspective.
Archaeologist: Archaeologists research and study past civilisations and settlements through collecting and inspecting material remains. They analyse and draw conclusions on a wide array of matters such as hierarchy systems, linguistics, culture, and politics based on the study of objects, structures, fossils, relics, and artifacts left behind by these peoples. Archaeologists utilise various interdisciplinary methods such as stratigraphy, typology, 3D analysis, mathematics, and modelling.
Manufacturing cost estimator: Manufacturing cost estimators collect and analyse data to evaluate the money, materials, labour and time required for manufacturing processes. They conduct analyses to identify (alternative) cost effective technical designs and production processes. They develop and use methods and tools for cost planning, controlling and analysis. They also perform quantitative and qualitative risk analyses and report on the development of costs.
Data scientist: Data scientists find and interpret rich data sources, manage large amounts of data, merge data sources, ensure consistency of data-sets, and create visualisations to aid in understanding data. They build mathematical models using data, present and communicate data insights and findings to specialists and scientists in their team and if required, to a non-expert audience, and recommend ways to apply the data.
Marine engineering drafter: Marine engineering drafters convert the marine engineers’ designs into technical drawings usually using software. Their drawings detail dimensions, fastening and assembling methods and other specifications used in the manufacture of all types of boats from pleasure crafts to naval vessels, including submarines.
Fisheries refrigeration engineer: Fisheries refrigeration engineers perform maintenance and repair machines and equipment in the fish hold and refrigeration system on board of fishing vessels.
Automotive engineering drafter: Automotive engineering drafters convert the automotive engineers’ designs into technical drawings usually using software. Their drawings detail dimensions, fastening and assembling methods and other specifications used in the manufacture of automotive components, cars, buses, trucks and other motor vehicles.
Chemical engineering technician: Chemical engineering technicians transform raw materials in order to develop and test chemical products. They also work on improving chemical plant operations and processes.
Radio technician: Radio technicians install, adjust, test, maintain, and repair mobile or stationary radio transmitting and receiving equipment and two-way radio communications systems. They also monitor their performance and determine causes of faults.
Architectural drafter: Architectural drafters make drawings of the specifications and ideas provided by architects. They draw architectural drawings using computer-aided equipment and software, or using conventional methods like paper and pen.
Climatologist: Climatologists study the average change in weather and climate from a long-term perspective. They research and analyse historic weather conditions in order to forecast climatic conditions trends such as changes in temperature, global warming, or regional evolutive weather conditions. They use these findings for advising on environmental policy, construction, agricultural projects, and societal matters.
Rolling stock engineering drafter: Rolling stock engineering drafters convert the rolling stock engineers’ designs into technical drawings usually using software. Their drawings detail dimensions, fastening and assembling methods and other specifications used in the manufacture of rail vehicles such as locomotives, multiple units, carriages and wagons.
Corrosion technician: Corrosion technicians monitor the integrity from a pipeline and provide repairs to it if needed. They ensure that the pipelines are properly connected and are in line with the health and safety regulations. Corrosion technicians inspect cathodic protection systems and pipeline connection points for corrosion. They may also assist in the designing of pipelines, analyse soil and write reports on technical issues.
Automotive engineering technician: Automotive engineering technicians work with automotive engineers to operate, repair, maintain and test equipment used in motor vehicles. In some environments, such as an airport they are responsible for keeping equipment and vehicles serviceable. They review blueprints and designs to determine test specifications and procedures. Automotive engineering technicians use software to make sure that parts of a motor vehicle are functioning properly. They record test procedures and results, and make recommendations for changes.
Oceanographer: Oceanographers study and perform research on matters related to the sea and oceans. Oceanographers divide their expertise in four main branches of research which are physical oceanographers whose research focus on waves and tides, chemical oceanographers whose study address the chemical constitution of sea waters, marine biologists whose focal point is the study of living organisms, ecosystems and  their interaction underwater, and geological oceanographer whose research refers to the bottom of seas and their plaques.
Analytical chemist: Analytical chemists research and describe the chemical composition of substances. Moreover, they draw conclusions related to the behaviour of such substances in different conditions.
Astronomer: Astronomers research the formation, structures, properties, and development of celestial bodies and interstellar matter. They use ground-based equipment and space-based equipment to collect data about the space for research purposes.
Naval architect: Naval architects design, build, maintain and repair all types of boats from pleasure crafts to naval vessels, including submarines. They analyse floating structures and take various features into account for their designs such as the form, structure, stability, resistance, access and propulsion of hulls.
ICT research consultant: ICT research consultants perform targeted ICT research and provide a final report to the client. They also use ICT tools to design questionnaires for surveys, analyse the results, write reports, present the results and make recommendations based on the research findings.
Design engineer: Design engineers develop new conceptual and detailed designs. They create the look for these concepts or products and the systems used to make them. Design engineers work with engineers and marketers to enhance the functioning and efficiency of existing devices.
Mathematician: Mathematicians study and deepen existing mathematical theories in order to expand the knowledge and find new paradigms within the field. They can apply this knowledge to challenges presented in engineering and scientific projects in order to assure that measurements, quantities, and mathematic laws prove their viability.
Tooling engineer: Tooling engineers design new tools for manufacturing equipment. They prepare tooling quotation requests. They estimate costs and delivery time, manage tooling construction follow-up and supervise the routine maintenance of tools. They also analyse data to determine the cause of major tooling difficulties and develop recommendations and action plans for solutions.
Physicist: Physicists are scientists who study physical phenomena. They focus their research depending on their specialisation, which can range from atomic particle physics to the study of phenomena in the universe. They apply their findings for the improvement of society by contributing to the development of energy supplies, treatment of illness, game development, cutting-edge equipment, and daily use objects.
Pipeline compliance coordinator: Pipeline compliance coordinators track, compile and summarise all the compliance and conformance activities in pipeline infrastructures and fields. They ensure that works are carried out within regulatory frameworks. They strive to develop and implement compliance policies and recommend ways to minimize risk. They inspect sites, collect evidence, and report compliance needs to the management.
Printed circuit board designer: Printed circuit board designers diagram and design the construction of circuit boards. They envision the logical placing of conductive tracks, coppers, and pin pads in the board. They use computer programmes and specialised software for the designs.
Economist: Economists perform research and develop theories in the field of economics, whether for microeconomic or macroeconomic analysis. They study trends, analyse statistical data, and to some extent work with economic mathematical models in order to advise companies, governments, and related institutions. They advise on product feasibility, trend forecasts, emerging markets, tax policies, and consumer trends.
Geographic information systems specialist: Geographic information systems specialists use specialised computer systems, engineering measures, and geological concepts to process land, geographic, and geospatial information into visually detailed digital maps and geomodels of a reservoir. They convert technical information like soil density and properties into digital representations of it for the usage of engineers, governments, and stakeholders interested.
Aerodynamics engineer: Aerodynamics engineers perform aerodynamics analysis to make sure the designs of transport equipment meet aerodynamics and performance requirements. They contribute to designing engine and engine components, and issue technical reports for the engineering staff and customers. They coordinate with other engineering departments to check that designs perform as specified. Aerodynamics engineers conduct research to assess adaptability of equipment and materials. They also analyse proposals to evaluate production time and feasibility.
Digital games developer: Digital games developers program, implement and document digital games. They implement technical standards in gameplay, graphics, sound and functionality.
Physics technician: Physics technicians monitor physical processes and perform tests for manufacturing, educational or scientific purposes. They work in laboratories, schools or production facilities where they assist physicists in their work. Physics technicians perform technical or practical work and report about their results.
Transport engineer: Transport engineers design and set the engineering specifications for the construction and development of roadways and transport infrastructure. They apply engineering concepts and knowledge for developing sustainable and efficient modes of transportation ranging from roads to canals, railways, and airports.
Statistician: Statisticians collect, tabulate, and, most importantly, analyse quantitative information coming from a varied array of fields. They interpret and analyse statistical studies on fields such as health, demographics, finance, business, etc. and advise based on patterns and drawn analysis.
Cartographer: Cartographers create maps by combining various scientific informations depending of the purpose of the map (e.g. topographic, urban, or political maps). They combine the interpretation of mathematical notes and measurements with the aesthetics and visual depiction of the site for developing the maps. They may also work on developing and improving geographic information systems and may perform scientific research within cartography.
Biometrician: Biometricians perform research in the field of biometrics. They carry statistical or biological research projects by measuring fingerprints, retinas, and human shapes for medical or industrial applications.
Remote sensing technician: Remote sensing technicians collect airborne data. They utilise equipment aimed for the collection of data and determination of geographical points in order to help in a variety of operations such as land conservation, urban planning, and military operations.
Aircraft engine tester: Aircraft engine testers test the performance of all engines used for aircraft in specialised facilities such as laboratories.They position or give directions to workers positioning engines on the test stand. They use hand tools and machinery to position and connect the engine to the test stand. They use computerised equipment to enter, read and record test data such as temperature, speed, fuel consumption, oil and exhaust pressure.
Motor vehicle engine tester: Motor vehicle engine testers test the performance of diesel, petrol, gas and electric engines in specialised facilities such as laboratories. They position or give directions to workers positioning engines on the test stand. They use hand tools and machinery to position and connect the engine to the test stand. They use computerised equipment to enter, read and record test data such as temperature, speed, fuel consumption, oil and exhaust pressure.
Seismologist: Seismologists study the movement of tectonic plaques in the Earth which causes the propagation of seismic waves and earthquakes. They study and observe the various sources causing earthquakes such as volcanic activity, atmospheric phenomena, or the behaviour of oceans. They provide their scientific observations to prevent dangers in construction and infrastructure.
Material stress analyst: Material stress analysts plan and use software to perform structural analyses including static, stability and fatigue analyses on a variety of machines. They develop analysis of primary and secondary structures. They prepare technical reports to document their analysis results, participate in design reviews and recommend process improvements. They also assist in the development of structural test plans.
Marine engineer: Marine engineers design, build, maintain and repair the hull, mechanical, electronic equipment and auxiliary systems such as engines, pumps, heating, ventilation, generator sets. They work on all types of boats from pleasure crafts to naval vessels, including submarines.
Logistics engineer: Logistics engineers design and implement systems aimed to optimise the time and efforts invested in transportation activities. They ensure that systems allow for micro-tracking and smooth communication across transport methods and stages.
Agronomist: Agronomists provide consulting services to companies, agricultural cooperatives, agronomical crop growers and horticultural crop growers on the cultivation of food crops. They study the science, technology and business related to growing plants. They examine crops and perform experiments in order to improve crop yields and farms’ production. Agronomists also examine the most effective ways to harvest and cultivate plants.
Telecommunications analyst: Telecommunications analysts review, analyse and evaluate an organisation’s telecommunications needs and systems. They provide training on the telecommunications system features and functionalities.
Geologist: Geologists research the materials that form the earth. Their observations depend on the purpose of the research. Depending on their specialisation, geologists study how the Earth has been shaped over time, its geological layers, the quality of minerals for mining purposes, earthquakes and volcanic activity for private services, and similar phenomena.
Statistical assistant: Statistical assistants collect data and use statistical formulas to execute statistical studies and create reports. They create charts, graphs and surveys.
Data analyst: Data analysts import, inspect, clean, transform, validate, model, or interpret collections of data with regard to the business goals of the company. They ensure that the data sources and repositories provide consistent and reliable data. Data analysts use different algorithms and IT tools as demanded by the situation and the current data. They might prepare reports in the form of visualisations such as graphs, charts, and dashboards.
Mathematics lecturer: Mathematics lecturers instruct students who have obtained an upper secondary education diploma in their own specialised field of study, mathematics, which is predominantly academic in nature. They work with their university research assistants and university teaching assistants for the preparation of lectures and of exams, for grading papers and exams and for leading review and feedback sessions for the students. They also conduct academic research in their respective field of mathematics, publish their findings and liaise with other university colleagues.
Surface engineer: Surface engineers research and develop technologies for manufacturing processes that assist in altering the properties of the surface of bulk material, such as metal, in order to reduce degradation by corrosion or wear. They explore and design how to protect surfaces of (metal) workpieces and products utilising sustainable materials and testing with a minimum of waste.
Computer scientist: Computer scientists conduct research in computer and information science, directed toward greater knowledge and understanding of fundamental aspects of ICT phenomena. They write research reports and proposals. Computer scientists also invent and design new approaches to computing technology, find innovative uses for existing technology and studies and solve complex problems in computing.
Vessel engine tester: Vessel engine testers test the performance of vessel engines such as electric motors, nuclear reactors, gas turbine engines, outboard motors, two-stroke or four-stroke diesel engines, LNG, dual fuel engines and, in some cases, marine steam engines in specialised facilities such as laboratories. They position or give directions to workers positioning engines on the test stand. They use hand tools and machinery to position and connect the engine to the test stand. They use computerised equipment to enter, read and record test data such as temperature, speed, fuel consumption, oil and exhaust pressure.
Mathematics teacher secondary school: Mathematics teachers at secondary schools provide education to students, commonly children and young adults, in a secondary school setting. They are usually subject teachers, specialised and instructing in their own field of study, mathematics. They prepare lesson plans and materials, monitor the students’ progress, assist individually when necessary, and evaluate the students’ knowledge and performance on the subject of mathematics through assignments, tests and examinations.
Software manager: Software managers oversee the acquisition and development of software systems in order to provide support to all organisational units. They also monitor the results and quality of the different software solutions and projects implemented in the organisation.
Geology technician: Geology technicians assist in all the activities carried out by geologists. They, under the supervision of geologists, collect materials, carry out research and study the samples collected from the Earth in order to offer analysis as part of the project and the aim. Geology technicians assist in determining the value of the land for oil or gas exploration. They perform various technical tasks, including collecting samples during geochemical surveys, working on drill sites, and participating in geophysical surveys and geological studies.
Demographer: Demographers study a variety of parameters related with population. They develop, based on their observations, statistical analyses on the evolutions and changes of births, elderly, marriage and divorce, employment, mortality, immigration and related matters.

Execute analytical mathematical calculations is optional for these occupations. This means knowing this skill may be an asset for career advancement if you are in one of these occupations.

Telecommunications technician: Telecommunications technicians install, test, maintain and troubleshoot telecommunications systems. They repair or replace defective devices and equipment and maintain a safe working environment and a complete inventory of supplies. They also provide user or customer assistance.
 
Biophysicist: Biophysicists study the existing relation between living organisms and physics. They conduct research on living organisms based on the methods of physics that aim to explain the complexity of life, predict patterns, and draw conclusions about aspects of life. Biophysicists’ research fields cover DNA, proteins, molecules, cells, and environments.
Energy trader: Energy traders sell or buy shares of energy, sometimes from different sources. They analyse the energy market and investigate trends in prices to decide when to buy or sell shares and ensure the most profit. They make calculations, and write reports on energy trades procedures, and make predictions on the development of the market.
Rotating equipment engineer: Rotating equipment engineers develop designs and specifications for rotating equipment according to any applicable standards. They also provide technical expertise and help ensure that all new and existing equipment installations are completed.
ICT business analysis manager: ICT business analysis managers identify areas where information system changes are needed to support business plans and monitor the impact in terms of change management. They contribute to the general ICT functional requirements of the business organisation. ICT business analysis managers analyse business needs and translate them into ICT solutions.
Packing machinery engineer: Packing machinery engineers are in charge of and responsible for packaging machinery. They maintain and improve technical standards, analyse results, set up improvement plans, and are responsible for machinery maintenance.
Scientific laboratory technician: Scientific laboratory technicians carry out laboratory-based research, analysis and testing and support life science professionals. They sample, test, measure, research and analyse in areas such as biology, biotechnology, environmental science, forensic science and pharmacology. Scientific laboratory technicians also observe and monitor laboratory activities, record test sequences and analyse the results.
Logistics analyst: Logistics analysts streamline product manufacturing, transportation, storage and distribution. They assess production and supply chain problems to determine economically efficient solutions. They assists company managers in decision-making processes and direct programs designed to provide subcontractors, managers and customers with logistic technology.
Industrial engineer: Industrial engineers design a vast array of production systems aiming to present efficient and effective solutions. They integrate a varied number of variables such as workers, technology, ergonomics, production flows, and product specifications for the design and implementation of production systems. They can specify and design for microsystems as well.
Mechanical engineer: Mechanical engineers research, plan and design mechanical products and systems and supervise the fabrication, operation, application, installation and repair of systems and products. They research and analyse data.
University research assistant: University research assistants conduct academic research for the university or college they are employed in. They may assist professors they are affiliated with, their supervisor, in their research or develop their own in the related field of that professor.
Secondary school teacher: Secondary school teachers provide education to students, commonly children and young adults, in a secondary school setting. They are usually specialist subject teachers, who instruct in their own field of study. They prepare lesson plans and materials, monitor the students’ progress, assist individually when necessary and evaluate their knowledge and performance through assignments, tests and examinations.
Customs officer: Customs officers combat the importation of illegal goods, firearms, drugs or other dangerous or illegal items while checking the legality of items brought across national borders. They are government officials who control the documents to ensure entry criteria and custom laws are complied with and control if the custom taxes are paid correctly.
Product quality inspector: Product quality inspectors check products in order to assess their compliance in reference to a standard or reference guideline. They observe, measure, test, and form questions in order to fill in forms and present levels of compliance with comments after the inspection process. Product quality inspectors are employed or work externally for companies.
Data quality specialist: Data quality specialists review organisation’s data for accuracy, recommend enhancements to record systems and data acquisition processes and assess referential and historical integrity of data. They also develop documents and maintain data quality goals and standards and oversee an organisation’s data privacy policy and monitor compliance of data flows against data quality standards.
Product assembly inspector: Product assembly inspectors evaluate products for compliance with specifications and defects in-line with clients’ requirements and organisational policies. They use measuring and testing equipment to ensure conformity to engineering and manufacturing specifications, quality, and safety standards and regulations. They also provide detailed inspection documentation and recommend action where problems are discovered.
Fluid power engineer: Fluid power engineers supervise the assembly, installation, maintenance, and testing of fluid power equipment in accordance with specified manufacturing processes. They create designs with schematics and assembly models, make drawings and bills of materials for components, and analyse equipment.
Cost analyst: Cost analysts prepare regular costs, budgeting analyses and reports in order to contribute to the overall cost planning and forecasting activities of a business. They review and reconcile key balance sheets and identify new opportunities to save costs.
Container equipment design engineer: Container equipment design engineers design equipment to contain products or liquids, according to set specifications, such as boilers or pressure vessels. They test the designs, look for solutions to any problems and oversee production.
Motor vehicle assembly inspector: Motor vehicle assembly inspectors use measuring and testing equipment to inspect and monitor motor vehicle assemblies to ensure conformity to engineering and manufacturing specifications, quality, and safety standards and regulations. They detect malfunction and damage and inspect repair work. They also provide detailed inspection documentation and recommend action where problems are discovered.
ICT research manager: ICT research managers plan, manage and monitor research activities and evaluate emerging trends in the information and communication technology field to assess their relevance. They also design and oversee staff training on the use of new technology and recommend ways to implement new products and solutions that will maximise benefits for the organisation.
Drafter: Drafters prepare and create technical drawings using a special software or manual techniques, to show how something is built or works.
Agricultural equipment design engineer: Agricultural equipment design engineers apply knowledge of engineering and biological science to solve various agricultural problems such as soil and water conservation and the processing of agricultural products. They design agricultural structures, machinery, equipment and processes.
ICT system analyst: ICT system analysts specify the system needs to meet the end user requirements. They analyse system functions in order to define their goals or purposes and to discover operations and procedures for accomplishing them most efficiently. They also design new IT solutions to improve business efficiency and productivity, produce outline designs and estimate costs of new systems, specify the operations the system will perform, and the way data will be viewed by the end user. They present the design to the users and work closely with the users to implement the solution.
Chemical tester: Chemical testers are responsible for the rapid on-the-spot analysis of steel test pieces incoming from the metal production shop for the purpose of timely corrections of the chemical composition of the liquid metal.
Database developer: Database developers program, implement and coordinate changes to computer databases based on their expertise of database management systems.
Cosmologist: Cosmologists focus on the study of the universe as a whole, which is made up by its origin, evolution and ultimate fate. They use tools and scientific instruments to observe and study other galaxies and astronomical objects such as stars, black holes, planets and other celestial bodies.
Marine chief engineer: Marine chief engineers are responsible for the entire technical operations of the vessel including engineering, electrical, and mechanical divisions. They are the head of the entire engine department aboard the ship. They have overall responsibility for all technical operations and equipment on-board the ship. Marine chief engineers collaborate on security, survival and health care on board, observe the national and international standards of application.
Civil engineer: Civil engineers design, plan, and develop technical and engineering specifications for infrastructure and construction projects. They apply engineering knowledge in a vast array of projects, from the construction of infrastructure for transportation, housing projects, and luxury buildings, to the construction of natural sites. They design plans that seek to optimise materials and integrate specifications and resource allocation within the time constraints.
Chemical manufacturing quality technician: Chemical manufacturing quality technicians perform inspections and precision measurements in order to test and ensure the quality of products, by using computer controlled machinery and systems.
Bioengineer: Bioengineers combine state of the art findings in the field of biology with engineering logics in order to develop solutions aimed at improving the well-being of society. They can develop improvement systems for natural resource conservation, agriculture, food production, genetic modification, and economic use.
Application engineer: Application engineers deal with the technical requirements, management, and design for the development of various engineering applications, such as systems, new product designs, or the improvements of processes. They are responsible for the implementation of a design or process improvement, they offer technical support for products, answer questions about the technical functionality and assist the sales team.
ICT business analyst: ICT business analysts are in charge of analysing and designing an organisation’s processes and systems, assessing the business model and its integration with technology. They also identify change needs, assess the impact of the change, capture and document requirements and then ensure that these requirements are delivered whilst supporting the business through the implementation process.

References

1. Execute analytical mathematical calculations – ESCO