
MÁSTER UNIVERSITARIO EN FÍSICA AVANZADA
Course 2024/2025
FACULTAD DE CIENCIAS
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Degree Guide Course 2024/2025
- Introduction
- Objectives and competences
- Career Opportunities
- Access prerequisites
- Admission criteria
- Number of new students
- Curriculum
- Subjects
- Exam Schedule
- Rules
- Practices
- Official Documentation
- Internal Quality Assurance System for the Title
- Professional Atrributions
- Suggestions Box, Complaints and Congratulations
- Students with disabilities
The subject guide has been updated with the changes mentioned here
This master's degree is conceived as an academic training and initiation to research in Advanced Physics, complementary to undergraduate studies in Physics. Students can establish their own curricular lines, according to their expectations, being advised by the Master's tutor assigned by the Coordination Committee.
The Master's Degree in Advanced Physics is a postgraduate program of 60 ECTS credits, with five modules and three specialties: Theoretical Physics, Computational Physics, and Fluid Physics. More than 20 professors and researchers with recognized teaching and research experience in the areas of the different subjects of the degree guarantee its quality.
The social demand for research in the area covered by the Master's Degree in Advanced Physics is very notable, which undoubtedly has an impact on the sustainability of the degree. This demand is evidenced by the repercussion in the media of the news on the applications of neural networks, data science, advances in the discovery of new elementary particles such as the Higgs Boson, artificial intelligence, or the very worrying climate change. The mathematical methodologies and techniques learned in this master's degree, in addition to applications to physical systems, can be used in a wide range of disciplines, such as sociology, climatology and economics. Many of the big questions posed by researchers and citizens, such as those mentioned above, correspond to some of the research lines in which the student is initiated in the Master in Advanced Physics and in which the researchers assigned that participate in it work actively.
The objective of the Master's Degree in Advanced Physics is to expand the general studies of the Degree in Physics. It provides a deep knowledge in different areas of Physics, including fundamental theoretical aspects, computational and experimental methods and techniques, technological applications, etc. Mainly, the Master is focused on forming academic and research profiles. By taking this Master's Degree, the students will delve into areas of physics that are applicable to different fields of Science. They will also acquire the necessary skills to start a PhD, and to enter into the labor market in various areas: Physics, Mathematics, Biophysics, Physical Chemistry, Materials Engineering, Econophysics, Sociophysics, and so on.
Graduate students will know and understand the most relevant and current concepts of theoretical, computational and fluid physics. They will know how to deepen their understanding of cutting-edge theories in these fields, including their mathematical structure, their comparison with experimental results, and the description of the physical phenomena that these theories explain. They will acquire the ability to tackle and solve challenging problems in theoretical, computational or fluid physics, through the appropriate choice of the theoretical context, the identification of the relevant concepts and the use of the mathematical techniques that constitute the best approach to obtain the solution.
This master's degree does not have specific professional attributions since it falls within the field of fundamental research. As such, its main objective is to train future researchers in areas related to the lines of research that are developed in the Faculty of Sciences of the UNED. This master's degree will study aspects of physics that are directly applicable to different fields of science. Its academic and research orientation will allow a graduate to develop a set of skills aimed at deepening in each of the areas covered and allow the subsequent performance of research work, leading for example to the completion of a doctorate.
The research orientation of the master's degree is of interest to prospective students, not only because it provides them with the possibility of starting an academic career, but also because it allows them to access professional opportunities with a research profile in industry. The research areas in which the professors of the master's degree develop their activity are related to the three specialties offered: theoretical physics, physics of fluids and computational physics. These areas include, among others:
- Statistical mechanics: critical phenomena, synchronization, neural systems, polymers, fluctuations, stochastic resonance, statistical mechanics of out-of-equilibrium systems, biophysics, sociophysics.
- Density functional theory: fundamentals, information theory, cooperative effects, superconductors.
- Quantum mechanics: quantum technologies, quantum complex systems, quantum information, quantum many-body systems, conformal field theory.
- Fluid mechanics and complex fluids: hydrodynamic instabilities, turbulence, rheology, magneto-rheological fluids, mesoscopic description of fluids, liquid crystals, colloidal systems, polymeric fluids, transport phenomena in fluids, multiphase flows, reactive flows.
- New materials and interfaces: nanometric aggregates, liquid-solid interface, spatiotemporal dynamics of threshold processes (fracture of materials and friction between solids), study of ices and aggregates of atmospheric and astrophysical interest, instabilities in liquids with free surfaces, stability of fronts in crystalline growth, kinetic roughness theory of surfaces, heterogeneous kinetics at interfaces, surface growth.
- Aggregation, particles, aerosol mechanics: transport properties of particles and vapors in gases, nucleation, condensation, deposition and coagulation of particles, structure and morphology of granular deposits, electrosprays, electrohydrodynamic atomization of liquid suspensions.
- Energy: dynamics of flame propagation, combustion, fuel cells.
- Medical imaging and remote sensing: remote sensing and hydroacoustics, medical imaging, magnetic resonance imaging.
- Classical and quantum general relativity: observers, observables and measurement processes.
Researchers trained in these and other aspects, both in characterization techniques and in analytical and numerical prediction techniques, are of maximum interest for industrial sectors as varied as:
- The petrochemical industry, particularly in the development of models for the optimization of hydrocarbon transport. The behavior of complex fluids is studied in detail in several subjects of the study plan, which allows to deepen the knowledge of this type of problems. It is not only a theoretical formulation of the physical fundamentals of complex fluids, but the behavior of these fluids confined in different elements is studied in detail, allowing the extraction of properties that are useful in practice.
- The energy industry, particularly that focused on renewable energy solutions such as solar energy, is also very interested in the study of complex fluids. The development of products that enable the transport and storage of sustainable forms of energy requires not only experimentation, but the development of theoretical models that are seen in depth in the Master's studies.
- Industrial sectors with processes involving polymeric fluids, emulsions, suspensions or interfacial processes.
- Sectors such as the design of advanced materials (including nanodevices, biosensors and, in general, functionalized nanomaterials).
- The development of renewable energy sources (photovoltaic devices, for example).
- Medical technology sectors, in the field of diagnostic imaging and instrumentation.
- The aerospace industry which, in addition to its traditional interest in research in aerodynamics and turbulence problems, develops research activities in lines related to the topics of the master's degree, such as new structural materials that improve mechanical properties, or microfluidics.
- Innovation companies in Information Technology and information security.
The training acquired by our students also makes them very competitive in scientific knowledge management sectors such as university-industry knowledge transfer offices, quality control and assurance companies, and specialized software design.
Access to official Master's Degree courses
The requirements are those established in article 16.1 of Royal Decree 1393/2007, of October 29, which establishes the organization of official university education: "In order to access official Master's degree courses, it will be necessary to hold an official Spanish university degree or another issued by a higher education institution belonging to another member state of the European Higher Education Area that entitles access to Master's degree courses in that country".
Likewise, graduates from educational systems outside the European Higher Education Area may be admitted without the need for the homologation of their degrees, after verification by the University that they accredit a level of education equivalent to the corresponding official Spanish university degrees, and that they are authorized in the country issuing the degree to enroll in postgraduate studies. Access by this route will not imply, in any case, the homologation of the previous degree held by the interested party, nor its recognition for purposes other than that of taking the Master's degree.
Specific requirements for access to the Master's Degree
The preferred access qualification is a degree in Physics. If there is sufficient accredited training in physics studies, students with other scientific-technical degrees will also be considered for admission. In this case, it will be an essential requirement to have a minimum number of credits in subjects from the Physics graduate syllabus, considered necessary to adequately follow the master's degree, such as, for example, thermodynamics, statistical physics, fluid physics/mechanics, quantum physics/mechanics, etc. For graduates prior to RD 1393/2007, in addition to complying with the above requirement, an adequate update of knowledge of physics will be required due to professional experience, recent additional qualifications, research career, etc.
Since the master's degree is mainy oriented towards the start of a research career, it will also be necessary to accredit knowledge of English equivalent to level B1 of the Common European Framework of Reference for Languages (CEFR), either through official certifications or through professional experience abroad for a minimum period of 2 years.
Specific requirements for courses
Some courses refer to bibliography and articles written in English, so that comprehensive skills in this language is a must. Moreover, skills in programming languages and scientific software are needed in some courses. Information in this regard can be found in the "Requirements and recommendations to study this subject" section of each syllabus.
Admission and selection of students to the Master's Degree in Advanced Physics will be based on the applicant's academic background and curriculum vitae. It will be carried out by the Coordination Committee of the master's degree, which will also assign a Master's Tutor to each of the admitted students. The Master's Tutor will advise the student, during the duration of his/her studies, on the appropriate subjects that will allow him/her to develop a curricular line adapted to his/her needs and objectives. The Commission may require, in exceptional cases, an interview with the applicant before accepting or refusing admission.
The evaluation of the admission criteria is as follows:
- Adequacy of the qualification giving access to the master's degree, weighted by the date of completion of the studies: up to 6 points.
- Average grade of the academic record, on a scale of 1 to 4: up to 1 point.
- Professional experience, additional academic training and research career in areas related to the master's degree, carried out after obtaining the bachelor's degree: up to 3 points.
A minimum grade of 5 points is required for admission to the master's degree.
In the case of students with special educational needs derived from any disability, they will be provided with the appropriate support and counseling services, which will evaluate the need for possible curricular adaptations, itineraries or alternative studies. For this type of students, the UNED has a Center for Attention to University Students with Disabilities (UNIDIS), a service under the Vice-Rectorate for Students of the UNED, whose main objective is that students with disabilities who wish to study at this University can enjoy the same opportunities as the rest of the students of the UNED. To this end, UNIDIS coordinates and develops a series of actions aimed at assistance, support and advice to enable them, as far as possible, a full development in the field of university life. UNIDIS serves as an interlocutor for students with special educational needs, requesting the teaching staff to prepare specific teaching material or special exams (with audiotape response, written on computer, etc.).
The maximum number of new admission places is 75 in each academic year.
GENERAL OVERVIEW OF THE CURRICULUM
1. Basic outline
The Master´s Degree in Advanced Physics is a university postgraduate study program of 60 ECTS credits, and consists of five modules and three specialties. All subjects (except the Master´s Thesis, TFM) are 6 ECTS credits. The TFM is 12 ECTS credits and is carried out in the second semester of the course.
COMPULSORY MODULE |
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1C – Advanced numerical methods |
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1C – Complements of mathematical methods |
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THEORETICAL PHYSICS MODULE |
COMPUTATIONAL PHYSICS MODULE |
FLUID PHYSICS MODULE |
1C – Information theory |
1C - Modeling and simulation of complex systems |
1C - Out-of-equilibrium statistical mechanics: the theory of coarse-graining |
1C - Density functional theory |
1C - Introduction to science and data analysis |
1C - Compressible fluid dynamics |
1C – Field Theory |
1C - Digital image processing |
1C - Mechanical properties in soft matter |
2C – Physics in curved space-time |
2C – Out-of-equilibrium growth |
2C - Instabilities and turbulence |
2C – Introduction to quantum information and computing |
2C - Neural and complex networks |
2C - Transport phenomena |
2C - Quantum methods in polyatomic systems |
2C - Sociophysics and social networks |
2C - Microhydrodynamics |
MASTER´S THESIS MODULE |
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2C – Master´s Thesis (TFM) |
Table 1. MFA´s curriculum. 1C – First semester. 2C – Second semester.
2. Time sequence
All students must study 3 compulsory subjects (one of them, the TFM) and 6 optional subjects out of the 18 available, which guarantees a sufficient level of electiveness. Master´s curriculum is organized in such a way that a full-time enrolled student can study 30 ECTS credits per semester:
- First semester (5 subjects, 30 credits)
12 credits of the compulsory module, in two subjects.
18 credits of any of the modules of specialty. The student must choose three subjects from among the nine optional subjects taught during the first semester.
- Second semester (4 subjects, 30 credits)
18 credits of any of the modules of specialty. The student must choose three subjects from among the nine optional subjects taught during the second semester.
12 credits of the Master´s Thesis module.
In view of the specificity of the UNED, where 80% of the students carry out their studies part-time, we can propose an alternative itinerary that encompasses two academic years, with between 12 and 18 ECTS credits per semester:
- Year 1. First semester (3 subjects, 18 credits)
12 credits of the compulsory module, in two subjects.
6 credits of any of the modules of specialty. The student must choose one subject from among the nine optional subjects taught during the first semester.
- Year 1. Second semester (3 subjects, 18 credits)
18 credits of any of the modules of specialty. The student must choose three subjects from among the nine optional subjects taught during the second semester.
- Year 2. First semester (2 subjects, 12 credits)
12 credits of any of the modules of specialty. The student must choose two subjects from among the nine optional subjects taught during the first semester.
- Year 2. Second semester (1 subject, 12 credits)
12 credits of the Master´s Thesis module.
3. Training itineraries
The Master's curriculum includes three specialties:
- Specialty in Theoretical Physics
- Specialty in Computational Physics
- Specialty in Fluid Physics
To get the specialty mention, a student must complete at least 24 ECTS credits (4 subjects) of the module of the same name. In addition, the Master's Thesis must be related to the specialty for which the student is opting for the mention.
The cross-disciplinary nature of the different subjects offered allows them to be considered as belonging to several specialties. This will be indicated in the guides of the different subjects so that the student can choose the most suitable itinerary according to his/her interests, availability and previous academic training.
A student who takes less than 24 credits of the same specialty module, or who takes the Master's Thesis in an area not related to that module, may obtain the title of Master's Degree in Advanced Physics, and no specialty will be associated to the degree obtained.
4. Modules
- Compulsory Module
This module contains two compulsory subjects with transversal nature that provide the students with the mathematical and computational tools that will be necessary for the rest of the subjects, regardless of the itinerary they follow.
- Theoretical Physics Module
This module, which allows the specialty degree in theoretical physics, provides advanced training in those areas of knowledge of the theoretical physics that are preliminarily studied in undergraduate studies: field theory, density functional theory, and information theory.
- Computational Physics Module
This module corresponds to the specialty of computational physics, and develops abilities and skills typical of those branches of physics based on information technologies and the simulation of physical processes using computers.
- Fluid Physics Module
This module is associated with the specialty of fluid physics, and provides students with advanced training in fluid phase systems, both in equilibrium and in out-of-equilibrium conditions.
- Master´s Thesis Module
The completion of a Master's Thesis is mandatory for all MFA students, as specified in the regulation of official university education (Real Decreto 1393/2007).
PROGRAMA GENERAL: MÁSTER UNIVERSITARIO EN FÍSICA AVANZADA
Code | Name | Character | Type | Cred. | ||
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(TS): Training supplements | ||||||
21156030 | MÉTODOS NUMÉRICOS AVANZADOS | CONTENIDOS | 6 | |||
21156187 | DINÁMICA DE FLUIDOS COMPRESIBLES | CONTENIDOS | 6 | |||
21580013 | TEORÍA DEL FUNCIONAL DE LA DENSIDAD: SISTEMAS ELECTRÓNICOS | CONTENIDOS | 6 | |||
2158002- | TEORÍA DE CAMPOS | CONTENIDOS | 6 | |||
21580036 | TEORÍA DE LA INFORMACIÓN | CONTENIDOS | 6 | |||
21580042 | INTRODUCCIÓN A LA CIENCIA Y EL ANÁLISIS DE DATOS | CONTENIDOS | 6 | |||
21580059 | PROCESAMIENTO DE IMAGEN DIGITAL | CONTENIDOS | 6 | |||
21580065 | MODELIZACIÓN Y SIMULACIÓN DE SISTEMAS COMPLEJOS (MÁSTER FÍSICA AVANZADA) | CONTENIDOS | 6 | |||
21580131 | COMPLEMENTOS DE MÉTODOS MATEMÁTICOS | CONTENIDOS | 6 | |||
21580154 | PROPIEDADES MECÁNICAS EN MATERIA BLANDA | CONTENIDOS | 6 | |||
21580160 | MECÁNICA ESTADÍSTICA FUERA DEL EQUILIBRIO: LA TEORÍA DEL COARSE- GRAINING | CONTENIDOS | 6 |
Code | Name | Character | Type | Cred. | ||
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(TS): Training supplements | ||||||
2115154- | MÉTODOS CUÁNTICOS EN SISTEMAS POLIATÓMICOS | CONTENIDOS | 6 | |||
2115605- | INESTABILIDADES Y TURBULENCIA | CONTENIDOS | 6 | |||
2115612- | REDES NEURONALES Y COMPLEJAS | CONTENIDOS | 6 | |||
21156191 | SOCIOFÍSICA Y REDES SOCIALES | CONTENIDOS | 6 | |||
21580088 | INTRODUCCIÓN A LA INFORMACIÓN Y COMPUTACIÓN CUÁNTICAS | CONTENIDOS | 6 | |||
21580094 | CRECIMIENTO FUERA DEL EQUILIBRIO | CONTENIDOS | 6 | |||
21580102 | FENÓMENOS DE TRANSPORTE: TÉCNICAS DE SIMULACIÓN EN FLUIDOS (MÁSTER FÍSICA AVANZADA) | CONTENIDOS | 6 | |||
21580119 | MICROHIDRODINÁMICA | CONTENIDOS | 6 | |||
21580177 | FÍSICA EN ESPACIO-TIEMPO CURVOS | CONTENIDOS | 6 | |||
21580125 | TRABAJO FIN DE MÁSTER EN FÍSICA AVANZADA | TRABAJO DE INVESTIGACIÓN | 12 |
- RD 822/2021, de 28 de septiembre, Organización de las Enseñanzas Universitarias
- Normas y criterios generales de reconocimiento y transferencia de créditos para los másteres.
- Normas de permanencia en estudios conducentes a títulos oficiales de la Universidad Nacional de Educación A Distancia.
- Regulación de los trabajos de fin de master en las enseñanzas conducente al título oficial de master de la UNED.
It is required by law that all universities submit their official degrees for a verification, monitoring and accreditation process.
In the case of the UNED, the Council of Universities receives the memory of the degree and sends it to the National Quality Agency (ANECA) for its evaluation and issuance of the Verification Report. If the report is favorable, the Council of Universities dictates the Resolution of Verification, and the Ministry of Education submits to the Government the official proposal of the degree, orders its inclusion in the Registry of Universities, Centers and Degrees (RUCT) and its subsequent publication in the Official State Gazette.
Official master's degrees must renew their accreditation before four years from their verification or from the date of their last accreditation, in order to check whether the results obtained are adequate to guarantee the continuity of their teaching. If they are adequate, the Council of Universities issues a Resolution accrediting the degree.
These resolutions and reports are recorded in the Registry of Universities, Centers and Degrees (RUCT).
Official documentation (in Spanish)
VERIFICACIÓN / MODIFICACIÓN
- Memoria del Título
- Informe de Verificación de la ANECA
- Resolución de verificación del Consejo de Universidades
- Informe/s de modificación del Plan de Estudios
- Inscripción del Título en el Registro de Universidades, Centros y Títulos
- Publicación del Plan de Estudios en el BOE
SEGUIMIENTO
ACREDITACIÓN
Given the academic and research nature of the master's degree and taking into account the profile of UNED students, who generally combine their studies with professional activity, no external internships are foreseen.
Some lines of the Master's Thesis may have an experimental component to be developed in laboratories. In these cases, the assignment of the Thesis by the students will be subject to the feasibility of attending them. This work may be carried out in laboratories at the UNED Headquarters (Madrid) or through collaboration agreements with prestigious national and international laboratories.
The UNED has an Internal Quality Assurance System (SGIC-U) that covers all its official undergraduate, master and doctorate degrees, as well as the services it offers, the design of which was certified by the Spanish National Quality Agency ANECA.
The SGIC-U includes all the processes necessary to ensure the quality of its teaching staff, resources and services for students: access, admission and reception, external internships, mobility programs, academic orientation and job placement, monitoring and evaluation of training results, attention to suggestions and complaints and the adequacy of support staff, among others.
The members of the SGIC are:
- The Degree Coordinating Committee
- The Center's Quality Assurance Committee
- The Dean or Director Team
- The UNED Quality Assurance Committee
Through the Statistical portal, the UNED provides information to the entire university community both on the training results and on the satisfaction results of the different groups involved.
SGIC documents (in spanish):
This master's degree does not give access to regulated professions.