It is intended that the students of the program acquire the ability to conceive, project and develop research topics autonomously or in collaboration, respecting standards of academic quality and integrity. Moreover, they must learn to carry out research work with original results that contribute to widening the frontiers of knowledge in the respective research areas and that is worthy of publication in specialized international per review journals. Finally, it is intended that they are able to critically analyze and synthesize new and complex ideas and to communicate with the scientific community and with society in general.
In a more general perspective, people who complete the program must acquire the ability of interpreting and modeling scientific-technological problems, perceiving their economic and social relevance, building a critical vision of knowledge and reality.
CB11 - Systematic understanding of a field of study and mastery of research skills and methods related to that field. ("field" is replaced by "scope" as of the application of R.D. 576/2023, of 4 July)
CB12 - Ability to conceive, design or create, implement and adopt a substantial process of research or creation.
CB13 - Ability to contribute to the expansion of the frontiers of knowledge through original research.
CB14 - Ability to carry out critical analysis and evaluation and synthesis of new and complex ideas.
CB15 - Ability to communicate with the academic and scientific community and with society in general about their fields of knowledge in the modes and languages commonly used in their international scientific community.
CB16 - Ability to promote, in academic and professional contexts, scientific, technological, social, artistic or cultural progress within a knowledge-based society.
CB17 - Ability to promote Open Science and Citizen Science, in accordance with Article 12 of Organic Law 2/2023, of 22 March, as a way of contributing to the consideration of scientific knowledge as a common good, through the evaluation of cross-cutting activities carried out by the doctoral student related to different dimensions of Open Science and Citizen Science, as well as the training acquired in both disciplines in the format of micro-credentials or
similar. (From the application of R.D. 576/2023, of 4 July)
CA01 - Function in contexts in which there is little specific information.
CA02 - Find the key questions that need to be answered to solve a complex problem.
CA03 - Design, create, develop and undertake novel and innovative projects in their field of knowledge.
CA04 - Work both in a team and autonomously in an international or multidisciplinary context.
CA05 - Integrate knowledge, deal with complexity and make judgments with limited information.
CA06 - The critique and intellectual defense of solutions.
OC01 - Ability to develop techniques, languages and theoretical and/or computational tools suitable for solving mathematical problems.
OC02 - Ability to delve into general techniques and to autonomously tackle research problems in mathematics.
OC03 - Ability to model and solve scientific phenomena in the field of mathematical applications.
OC04 - Ability to integrate into multidisciplinary working groups developing innovative models in mathematics.
OC05 - Ability to detect new areas of application of mathematics.
CB11 - Systematic understanding of a field of study and mastery of research skills and methods related to that field. ("field" is replaced by "scope" as of the application of R.D. 576/2023, of 4 July)
CB12 - Ability to conceive, design or create, implement and adopt a substantial process of research or creation.
CB13 - Ability to contribute to the expansion of the frontiers of knowledge through original research.
CB14 - Ability to carry out critical analysis and evaluation and synthesis of new and complex ideas.
CB15 - Ability to communicate with the academic and scientific community and with society in general about their fields of knowledge in the modes and languages commonly used in their international scientific community.
CB16 - Ability to promote, in academic and professional contexts, scientific, technological, social, artistic or cultural progress within a knowledge-based society.
CB17 - Ability to promote Open Science and Citizen Science, in accordance with Article 12 of Organic Law 2/2023, of 22 March, as a way of contributing to the consideration of scientific knowledge as a common good, through the evaluation of cross-cutting activities carried out by the doctoral student related to different dimensions of Open Science and Citizen Science, as well as the training acquired in both disciplines in the format of micro-credentials or
similar. (From the application of R.D. 576/2023, of 4 July)
Professional and academic career
The doctoral program in Mathematics and Applications aims for its students to acquire the most relevant research and transfer skills, which will allow them to demonstrate valuable competencies to improve future job prospects. A joint doctoral program provides students with wide and varied access to the resources of the various institutions, faculty staff and researchers, and allows them to benefit from a wide range of opportunities. Thus, students of this type of doctorate can take advantage of the strengths of each institution to start and develop their scientific careers.
On the other hand, the growing interest of the industrial and business sector in people with advanced mathematical training provides students of this program with varied job prospects apart from those which are exclusive to the academic environment. Thus, the skills acquired in the program, such as the capacity of analysis, synthesis, communication and the ability to deal with complex problem, are increasingly demanded in the current labor market.
Professional and academic career
The doctoral program in Mathematics and Applications aims for its students to acquire the most relevant research and transfer skills, which will allow them to demonstrate valuable competencies to improve future job prospects. A joint doctoral program provides students with wide and varied access to the resources of the various institutions, faculty staff and researchers, and allows them to benefit from a wide range of opportunities. Thus, students of this type of doctorate can take advantage of the strengths of each institution to start and develop their scientific careers.
On the other hand, the growing interest of the industrial and business sector in people with advanced mathematical training provides students of this program with varied job prospects apart from those which are exclusive to the academic environment. Thus, the skills acquired in the program, such as the capacity of analysis, synthesis, communication and the ability to deal with complex problem, are increasingly demanded in the current labor market.
Companies and institutions involved
Researchers from the different lines of the doctoral programme collaborate assiduously with researchers from foreign universities of high academic level. The main objective of these collaborations is the exchange of professors, researchers and students, the exchange of information and documentation, the organization of undergraduate and postgraduate courses, seminars and conferences and joint research projects, as well as the achievement of scientific results. Among the institutions with which there is an agreement we can mention the National University of Córdoba (Argentina), the Georgian Technical University (Georgia), the V.I. Romanovsky Institute of Mathematics
(Uzbeksitan), the Andrea Razmadze Mathematical Institute (Georgia).
The Universities of Porto and Minho also collaborate with the University of Aveiro in a joint doctoral program in Applied Mathematics and the University of Porto with the University of Coimbra in the interuniversity doctoral program in Mathematics. The Universidade do Porto also has an agreement with the Universidade Nacional Timor Lorosa'e (Timor) in terms of Mathematics.
On the other hand, this programme can be considered as a natural continuation of the joint simultaneous degree of the Master's Degree in Mathematics between the Universities of Porto and Santiago de Compostela.
Additional subject teaching
Candidates who do not meet all the necessary prior learning conditions for the programme may be required to complete additional courses in the form of subjects and modules from UDC Master’s and undergraduate programmes. The number of credits from additional subject teaching will not exceed 15 ECTS credits, which students may choose to complete before or after enrolment in the PhD programme.
Students who do not opt to complete additional coursework prior to enrolment should register for their extra subjects or modules at the same time as the PhD. Failure to complete additional coursework within a period of three consecutive terms will result in the termination of the student’s registration.
See also UDC PhD Policies and Regulations, Article 5: Applications.
EIDUDC teaching and training activities
EIDUDC teaching and training activities
Programme-specific teaching and training activities
The PhD programme includes the following activities:
Workshop in Mathematics 1,
Workshop in Mathematics 2,
Workshop in Mathematics 3,
Workshop in Mathematics 4,
Workshop in Mathematics 5,
Workshop in Mathematics 6,
Research seminars.
Moreover, students are encouraged to attend courses and participate in scientific events such as conferences, as well as do short research stays in other institutions.
Supervision agreement
The PhD supervision agreement defines the academic relationship between the candidate and the University, the rights and responsibilities of each (including any intellectual and/or industrial property rights resulting from the candidate’s research), the procedures in place in relation to conflict resolution, and the duration of the agreement. It also specifies the duties of the PhD tutor and supervisor.
The supervision agreement must be signed by the candidate, tutor and designated university representative (or representatives) within a maximum period of one month as from the date of registration. The supervisor’s signature may be added subsequently, once a supervisor has been appointed.
When the document has been signed by all the relevant parties, the agreement is then added to the candidate’s record of activities.
See also UDC PhD Policies and Regulations, Article 13: Supervision agreement.
Research plan
The candidate must prepare a research plan within six months of registration, with information regarding methodology, objectives, resources and milestones. The research plan is submitted together with the report of the supervisor and/or tutor for approval by the Academic Committee for PhD Programmes (CAPD). Improvements to the plan may be introduced with the approval of the supervisor and/or tutor based on the annual review of the student’s research progress.
Research plans are subject to annual review by the CAPD, including the report(s) of the supervisor and/or tutor and the candidate’s record of activities. Students will be permitted to continue with their studies if the outcome of the review is satisfactory. If the outcome is negative, the student will be required to submit a new plan within a period of six months. If the committee is still not satisfied, the candidate will be removed from the programme.
See also UDC PhD Policies and Regulations, Article 15: Research plan.
Teachers
Quantitative Methods in Economics and Business
Student mobility
UDC holds student mobility agreements with universities and other third-level institutions across four continents. Students are offered several opportunities each year to apply to study abroad in one of these centres (for a single term or for a whole year), with the guarantee that all credits obtained will be duly recognised in their academic record upon their return.
For each round of applications, the University publishes the list of exchange options available to students and, where relevant, the specific conditions associated with each. Students may also apply to the University for funding for international work experience placements and internships.
Work experience placements are accredited in the student's academic record and the European diploma supplement. Students are free to decide in which host company or academic institution within the EHEA they wish to carry out their placement. To assist them in their search, the University has created an online noticeboard with jobs postings and other news.
Work-study placements in A Coruña are arranged by the International Relations Office (ORI) of the UDC in collaboration with the international relations coordinators in the student’s home university. The general entry criteria, rights and obligations of students, and admission and acceptance procedures for the programme, are regulated by the UDC Mobility Policy.