algebra
The subdiscipline of mathematics that uses formulae, symbols, and equations to represent and manipulate numbers and quantities.
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.
Competences and skills
80 ESCO relationsEssential competences 1 competence
Occupation specific
0 competencesNo competences in this bucket.
Sector-specific
0 competencesNo competences in this bucket.
Cross-sector
0 competencesNo competences in this bucket.
Essential knowledge 8 competences
Occupation specific
0 competencesNo competences in this bucket.
Sector-specific
0 competencesNo competences in this bucket.
Cross-sector
8 competencesmathematical modelling
The process of establishing a mathematical representation problem, such as equations, of a real-word to provide insights, discover new features about the problematic scenario, better understand the original problem or to make predictions about it.
mathematics
Mathematics is the study of topics such as quantity, structure, space, and change. It involves the identification of patterns and formulating new conjectures based on them. Mathematicians strive to prove the truth or falsity of these conjectures. There are many fields of mathematics, some of which are widely used for practical applications.
Monte Carlo simulation
A mathematical technique used to predict, estimate, and analyse a range of future possible outcomes for an uncertain event. The process is performed through a simulation to estimate a range of values.
digital
numerical sequences
Logic sequences of numbers ordered by a recurring pattern.
scientific modelling
Scientific activity consisting in selecting the relevant aspects of a situation and aiming to represent physical processes, empirical objects and phenomena to allow a better understanding, visualisation or quantification, and to enable simulation that shows how this particular subject would behave under given circumstances.
scientific research methodology
The theoretical methodology used in scientific research involving doing background research, constructing an hypothesis, testing it, analysing data and concluding the results.
statistics
The study of statistical theory, methods and practices such as collection, organisation, analysis, interpretation and presentation of data. It deals with all aspects of data including the planning of data collection in terms of the design of surveys and experiments in order to forecast and plan work-related activities.
Essential skills and competences 35 competences
Occupation specific
0 competencesNo competences in this bucket.
Sector-specific
2 competencesmanage intellectual property rights
Deal with the private legal rights that protect the products of the intellect from unlawful infringement.
research
operate open source software
Operate Open Source software, knowing the main Open Source models, licensing schemes, and the coding practices commonly adopted in the production of Open Source software.
digitalresearch
Cross-sector
33 competencesapply for research funding
Identify key relevant funding sources and prepare research grant application in order to obtain funds and grants. Write research proposals.
research
apply research ethics and scientific integrity principles in research activities
Apply fundamental ethical principles and legislation to scientific research, including issues of research integrity. Perform, review, or report research avoiding misconducts such as fabrication, falsification, and plagiarism.
research
apply scientific methods
Apply scientific methods and techniques to investigate phenomena, by acquiring new knowledge or correcting and integrating previous knowledge.
communicate mathematical information
Use mathematical symbols, language and tools to present information, ideas and processes.
communicate with a non-scientific audience
Communicate about scientific findings to a non-scientific audience, including the general public. Tailor the communication of scientific concepts, debates, findings to the audience, using a variety of methods for different target groups, including visual presentations.
research
conduct quantitative research
Execute a systematic empirical investigation of observable phenomena via statistical, mathematical or computational techniques.
conduct research across disciplines
Work and use research findings and data across disciplinary and/or functional boundaries.
research
create solutions to problems
Solve problems which arise in planning, prioritising, organising, directing/facilitating action and evaluating performance. Use systematic processes of collecting, analysing, and synthesising information to evaluate current practice and generate new understandings about practice.
demonstrate disciplinary expertise
Demonstrate deep knowledge and complex understanding of a specific research area, including responsible research, research ethics and scientific integrity principles, privacy and GDPR requirements, related to research activities within a specific discipline.
research
develop professional network with researchers and scientists
Develop alliances, contacts or partnerships, and exchange information with others. Foster integrated and open collaborations where different stakeholders co-create shared value research and innovations. Develop your personal profile or brand and make yourself visible and available in face-to-face and online networking environments.
research
disseminate results to the scientific community
Publicly disclose scientific results by any appropriate means, including conferences, workshops, colloquia and scientific publications.
research
draft scientific or academic papers and technical documentation
Draft and edit scientific, academic or technical texts on different subjects.
research
evaluate research activities
Review proposals, progress, impact and outcomes of peer researchers, including through open peer review.
research
execute analytical mathematical calculations
Apply mathematical methods and make use of calculation technologies in order to perform analyses and devise solutions to specific problems.
increase the impact of science on policy and society
Influence evidence-informed policy and decision making by providing scientific input to and maintaining professional relationships with policymakers and other stakeholders.
research
integrate gender dimension in research
Take into account in the whole research process the biological characteristics and the evolving social and cultural features of women and men (gender).
research
interact professionally in research and professional environments
Show consideration to others as well as collegiality. Listen, give and receive feedback and respond perceptively to others, also involving staff supervision and leadership in a professional setting.
research
manage findable accessible interoperable and reusable data
Produce, describe, store, preserve and (re) use scientific data based on FAIR (Findable, Accessible, Interoperable, and Reusable) principles, making data as open as possible, and as closed as necessary.
digitalresearch
manage open publications
Be familiar with Open Publication strategies, with the use of information technology to support research, and with the development and management of CRIS (current research information systems) and institutional repositories. Provide licensing and copyright advice, use bibliometric indicators, and measure and report research impact.
digitalresearch
manage personal professional development
Take responsibility for lifelong learning and continuous professional development. Engage in learning to support and update professional competence. Identify priority areas for professional development based on reflection about own practice and through contact with peers and stakeholders. Pursue a cycle of self-improvement and develop credible career plans.
research
manage research data
Produce and analyse scientific data originating from qualitative and quantitative research methods. Store and maintain the data in research databases. Support the re-use of scientific data and be familiar with open data management principles.
digitalresearch
mentor individuals
Mentor individuals by providing emotional support, sharing experiences and giving advice to the individual to help them in their personal development, as well as adapting the support to the specific needs of the individual and heeding their requests and expectations.
research
perform project management
Manage and plan various resources, such as human resources, budget, deadline, results, and quality necessary for a specific project, and monitor the project's progress in order to achieve a specific goal within a set time and budget.
research
perform scientific research
Gain, correct or improve knowledge about phenomena by using scientific methods and techniques, based on empirical or measurable observations.
research
promote open innovation in research
Apply techniques, models, methods and strategies which contribute to the promotion of steps towards innovation through collaboration with people and organizations outside the organisation.
research
promote the participation of citizens in scientific and research activities
Engage citizens in scientific and research activities and promote their contribution in terms of knowledge, time or resources invested.
research
promote the transfer of knowledge
Deploy broad awareness of processes of knowledge valorisation aimed to maximise the two–way flow of technology, intellectual property, expertise and capability between the research base and industry or the public sector.
research
publish academic research
Conduct academic research, in universities and research institutions, or on a personal account, publish it in books or academic journals with the aim of contributing to a field of expertise and achieving personal academic accreditation.
research
speak different languages
Master foreign languages to be able to communicate in one or more foreign languages.
research
study the relationships between quantities
Use numbers and symbols to research the link between quantities, magnitudes, and forms.
synthesise information
Critically read, interpret, and summarise new and complex information from diverse sources.
research
think abstractly
Demonstrate the ability to use concepts in order to make and understand generalisations, and relate or connect them to other items, events, or experiences.
research
write scientific publications
Present the hypothesis, findings, and conclusions of your scientific research in your field of expertise in a professional publication.
research
Optional knowledge 22 competences
Occupation specific
2 competencesmetalogic
The subdiscipline of logic that studies the languages and systems that humans use to communicate truths. It studies the properties of these logical systems.
philosophy of mathematics
The subdiscipline of mathematics that examines the philosophical foundations and implications of mathematics. It studies the methodology of math and how people use it in their daily lives.
Sector-specific
8 competencesmathematical economics
The interdisciplinary field between mathematical methods and economics that deals with using math principles to contruct models for economic theory where conclusions can be drawn following a mathematical logic.
mathematical physics
The interdisciplinary field between mathematics and physics that deals with the mathematical foundations of theoretical physics. It addresses issues in quantum mechanics and atomic and molecular physics.
mechanical engineering
Discipline that applies principles of physics, engineering and materials science to design, analyse, manufacture and maintain mechanical systems.
quantum computing
The branch of computer science that follows the principles of quantum theory. It uses subatomic particles which are allowed to exist under more than one state thanks to quantum bits, or qubits.
SAS language
The techniques and principles of software development, such as analysis, algorithms, coding, testing and compiling of programming paradigms in SAS language.
digital
set theory
The subdiscipline of mathematical logic that studies the properties of well-determined sets of objects, relevant to mathematics.
statistical modeling techniques
The approaches for employing statistical analysis to dataset within the data science field. It seeks to elaborate reality predictions through statistical models and explicit assumptions.
supercomputing
The process of dealing with complex data-related problems through multiple computers working in parallel (i.e., a supercomputer). It is used in several fields such as quantum mechanics, molecular modeling, aerodynamics and nuclear fusion research.
digital
Cross-sector
12 competencesalgorithms
The self-contained step-by-step sets of operations that carry out calculations, data processing and automated reasoning, usually to solve problems.
digital
computer science
The scientific and practical study that deals with the foundations of information and computation, namely algorithms, data structures, programming, and data architecture. It deals with the practicability, structure and mechanisation of the methodical procedures that manage the acquisition, processing, and access to information.
digital
computer simulation
A programme run on a computer that represents dynamic responses of a system to explore a mathematical model behaviour, using a model of a real system, composed of mathematical equations.
digital
data science
The field of study that deals with big amount of data using AI techniques such as machine learning algorithms to predict patterns and obtain useful information to make business decisions
digital
empirical analysis
The evidence-based method that is used to analyse and interpret information with the aim of drawing conclusions about a specific issue.
geometry
Branch of mathematics related to questions of shape, size, relative position of figures and the properties of space.
instrumentation engineering
The science and engineering discipline that attempts to control process variables of production and manufacturing. It also focuses on the design of systems with desired behaviours. These systems use sensors to measure the output performance of the device that is being controlled.
digital
logic
The study and use of accurate reasoning, where the legitimacy of arguments is measured by their logical form and not by content.
operational research
The application of scientific methods to provide solutions to administrative and management issues of organised systems as industrial, commercial, or governmental processes.
philosophy
The different philosophical systems, their basic principles, values, ethics, ways of thinking, customs, practices and their impact on human culture.
quantitative analysis
The technique of employing statistical and mathematical modelling and measurement to represent a specific reality through numbers.
digital
statistical analysis system software
Specific software system (SAS) used for advanced analytics, business intelligence, data management, and predictive analytics.
digital
- Scope note
- This includes SPSS
Optional skills and competences 14 competences
Occupation specific
0 competencesNo competences in this bucket.
Sector-specific
4 competencescreate software design
Transpose a series of requirements into a clear and organised software design.
digital
develop scientific theories
Formulate scientific theories based on empirical observations, gathered data and theories of other scientists.
perform lectures
Present lectures to various groups.
use software tools for site modelling
Use software and other modelling tools to create simulations of and develop scenarios for possible outcomes of site operations. Use the information gathered from simulations and models for analysis and decision making.
digital
Cross-sector
10 competencesapply blended learning
Be familiar with blended learning tools by combining traditional face-to-face and online learning, using digital tools, online technologies, and e-learning methods.
digitalresearch
apply statistical analysis techniques
Use models (descriptive or inferential statistics) and techniques (data mining or machine learning) for statistical analysis and ICT tools to analyse data, uncover correlations and forecast trends.
digital
assist scientific research
Assist engineers or scientists with conducting experiments, performing analysis, developing new products or processes, constructing theory, and quality control.
carry out statistical forecasts
Undertake a systematic statistical examination of data representing past observed behaviour of the system to be forecast, including observations of useful predictors outside the system.
develop financial statistics reports
Create financial and statistical reports based on collected data which are to be presented to managing bodies of an organisation.
develop statistical software
Participate in the various development stages of computer programs for econometric and statistical analysis, such as research, new product development, prototyping, and maintenance.
digital
prepare lesson content
Prepare content to be taught in class in accordance with curriculum objectives by drafting exercises, researching up-to-date examples etc.
provide lesson materials
Ensure that the necessary materials for teaching a class, such as visual aids, are prepared, up-to-date, and present in the instruction space.
teach in academic or vocational contexts
Instruct students in the theory and practice of academic or vocational subjects, transferring the content of own and others' research activities.
research
use spreadsheets software
Use software tools to create and edit tabular data to carry out mathematical calculations, organise data and information, create diagrams based on data and to retrieve them.
digital