Responsible Center: Official Masters School Location: Móstoles
Modality: classroom Title code: 6350 Orientation: researcher
Number of ECTS Credits: 60 ECTS Duration of the Master: an academic year
Price: See table
Academic calendar Schedule Examinations Teaching Guides Faculty
Director of the Master: Mr. Alejandro Garcia del Amo Jimenez
E-mail:
Official master information: Phone: 91 488 8508 Inquiries Mailbox
Student attention: Student Help Box Suggestions and complaints box
Basic Information
Is this degree official according to the regulations required by the European Higher Education Area?
Yes, (final verification report is attached) the implementation of the degree will be done progressively, starting the first year in the academic year 2022-23.
Final verification report turned out FAVORABLE
What is the minimum number of credits for which I can enroll?
You can see it in the rules of permanence in this link
Recommended income profile
This Master is aimed at graduates in Mathematics, Statistics, Physics, Engineering or other scientific and technological disciplines with a high mathematical content with an interest in deepening their knowledge and with the vocation to develop a research career in Universities, Research Institutes or Departments. of R+D+i of the private sector.
On the other hand, qualities such as the capacity for abstraction, analysis, synthesis and logical reasoning, taste for problem solving, interest in the applications of mathematics and familiarity with performing mathematical calculations, are suitable as a personal profile of the student of this Master's degree.
In terms of personal skills and attitudes, it is highly recommended that applicants for this master's degree have the ability to study, curiosity, imagination, creativity and an entrepreneurial spirit.
The English language will be used regularly in the Master, mainly at the level of recommended bibliography and information search. In this sense, it is recommended that the student has at least a level of linguistic skills with respect to the English language equivalent to B1 of the Common European Framework of Reference for Languages.
Objectives
The Master's Degree in Advanced Mathematics allows graduates to complete their academic training for access to doctoral programs with a view to starting a teaching and research career in Universities and Research Institutes or in R&D Departments in the private sector, especially in companies in the technological, financial and computer sectors, with the following fundamental objectives:
- Complete the mathematical training of graduates in Mathematics, Statistics, Physics and Engineering, both in relation to new concepts and their application to different fields.
- Train versatile specialists, capable of joining academic research in different areas of Mathematics and writing a doctoral thesis.
- Train researchers capable of solving problems of a very diverse nature in the world of industry, business and administration using the language and tools provided by Mathematics.
Competences
BASIC SKILLS
|
CB06 |
Possess and understand knowledge that provides a basis or opportunity to be original in the development and/or application of ideas, often in a research context |
|
CB07 |
That students know how to apply the knowledge acquired and their ability to solve problems in environments new or little known within broader (or multidisciplinary) contexts related to their area of study |
|
CB08 |
That students are able to integrate knowledge and face the complexity of formulating judgments based on information that, being incomplete or limited, includes reflections on the social and ethical responsibilities linked to the application of their knowledge and judgment |
|
CB09 |
That students know how to communicate their conclusions and the knowledge and ultimate reasons that support them to the public specialized and non-specialized in a clear and unambiguous way |
|
CB10 |
That students know how to communicate their conclusions and the knowledge and ultimate reasons that support them to the public specialized and non-specialized in a clear and unambiguous way |
GENERAL COMPETENCIES
CG01 - Be able to communicate orally and in writing the results of the activities, readings and work carried out.
CG02 - Be able to document on specific topics and become familiar with the main bibliography of the subject
CG03 - Being able to promote new scientific-technological developments in their work environment
CG04 - Have advanced knowledge in various areas of Mathematics and its applications
CG05 - Be able to use appropriate computer tools, and, in particular, mathematical, statistical and optimization software, to address problems related to Mathematics
CG06 - Know the applications of Mathematics and be able to solve problems in the field of engineering, industry, science, technology and society through modeling skills, numerical calculation, simulation and optimization
TRANSVERSAL COMPETENCES
CT01 - Be able to work in groups and in multidisciplinary teams
SPECIFIC COMPETENCES
CE01 - Be able to propose, analyze, validate and interpret advanced mathematical models that simulate complex real situations, using the most appropriate mathematical tools for the purposes pursued.
CE02 - Being able to know and understand quantum mechanics, the theories, laws and advanced models that govern it, including its application domain and its formulation in mathematical language
CE03 - Being able to abstract the structural properties (of mathematical objects, of observed reality and of the world of applications) distinguishing them from those that are purely occasional and being able to verify or refute them.
CE04 - Being able to propose, interpret, analyze and validate advanced mathematical models that simulate real situations.
CE05 - Be able to prepare, present and publicly defend an original work-project, synthesis of the skills acquired in the degree, communicate the conclusions to a specialized court, and discuss with its members any aspect related to them.
CE06 - Know the scientific policy in the regional, national and international sphere in the area of Mathematics.
CE07 - Being able to understand the most relevant open problems in some areas of Mathematics.
CE08 - Being able to apply the Theory of Numbers to current computational scenarios.
CE09 - Being able to understand and synthesize the content of seminars and colloquiums on current topics in Mathematics.
CE10 - Being able to develop, adjust, interpret and validate advanced statistical and optimization models that represent real situations.
CE11 - Be able to apply advanced procedures of operations research in decision making.
CE12 - Being able to model real problems using advanced algebraic tools.
CE13 - Be able to know and understand advanced results of measurement theory and functional analysis, as well as their applications to real and complex problems.
Admission and enrollment
Admission:
The requirements for access to the proposed title are according to article 18, of Royal Decree 822/2021, of September 28:
- Possession of an official Spanish Graduate or Graduate university degree or equivalent is a condition for accessing a Master's Degree, or, where appropriate, having another University Master's degree, or titles of the same level as the Spanish Bachelor's or Master's degree issued by universities and higher education institutions in an EHEA country that in that country allow access to Master's degrees.
- In the same way, people in possession of titles from educational systems that are not part of the EHEA, which are equivalent to a Bachelor's degree, will be able to access a Master's Degree in the Spanish university system, without the need for homologation of the title, but verification by of the university of the level of training that they imply, as long as in the country where said title was issued it allows access to university postgraduate level studies. In no case will access through this route imply the homologation of the previous degree held by the person concerned or its recognition for other purposes than that of carrying out the Master's degree.
Recommended requirements:
The specific qualifications that will facilitate access to the Master are the following:
- Mathematics (Grade)
- Mathematical Engineering (Bachelor)
- Mathematics and Computer Science (Undergraduate)
- Mathematics and Statistics (Undergraduate)
- Applied Mathematics and Computing (Undergraduate)
- Engineering in Mathematics Applied to Data Analysis (Bachelor's Degree)
- Physics (Grade)
- Engineering Physics (Bachelor)
- Statistics (Grade)
- Applied Statistics (Grade)
- Statistics and Business (Undergraduate)
- Mathematics + Physics (Double Degree)
- Computer Engineering + Mathematics (Double Degree)
- Software Engineering + Mathematics (Double Degree)
- Primary Education + Mathematics (Double Degree)
- Economics + Mathematics (Double Degree)
- Economics + Mathematics and Statistics (Double Degree)
Applicants who have advanced degrees in scientific and technological disciplines may also be admitted, provided that they prove, in the opinion of the Master's Academic Committee, sufficient mathematical knowledge to be able to take the master's degree successfully.
Selection of applicants:
Where appropriate, if necessary, assessment of the student's curriculum, its projection in relation to the objectives of the master's degree, as well as their academic record.
In the event that the demand exceeds the places offered, the following scale will be followed:
- Academic record: 70%
- Research experience related to the master's degree (publication of articles or monographs, participation in research groups, etc.): 10%
- Personal interview (the student's personal motivation and attitude and aptitude towards the contents of the master's degree will be assessed): 10%
- Other merits (awards, scholarships, attendance at scientific meetings related to the master's degree, professional experience related to the master's degree, level of English accredited by official bodies, etc.): 10%
Offer of places: 15 seats. If the minimum number of students envisaged is not reached in a course, the University may choose not to open the teaching group.
Training itinerary
Master's Teaching Guides
ACCESS THE COURSE GUIDES OF THE DEGREE
Training Itinerary
|
Code |
MATTER |
TYPE |
SEMESTER |
ECTS |
|
635001 |
Advanced Algebra |
Mandatory |
1 |
6 |
|
635002 |
Advanced Mathematical Analysis |
Mandatory |
1 |
6 |
|
635003 |
Algebraic and Analytic Methods in Geometry and Topology |
Mandatory |
1 |
6 |
|
635004 |
Advanced Methods of Equations in Partial Derivatives |
Mandatory |
1 |
6 |
|
635005 |
Advanced Numerical Methods |
Mandatory |
1 |
6 |
|
635006 |
Advanced Methods in Statistics and Operations Research |
Mandatory |
2 |
6 |
|
635007 |
Quantum mechanics |
Mandatory |
2 |
3 |
|
635008 |
Research Methodology in Mathematics |
Mandatory |
2 |
3 |
|
635009 |
Mathematics Research Seminar |
Mandatory |
2 |
6 |
|
635010 |
Master's thesis |
TFM |
2 |
12 |
External internships
The External Practices subject is a curricular subject whose main objective is to promote a comprehensive training of the student through the practical application of the knowledge acquired during the Master's degree, which facilitates direct contact with the professional activity and the opportunity to join the professional world with a minimum of experience. All practices are designed so that the students who participate in them acquire professional experience in real situations and conditions, applying the knowledge, skills and attitudes that are acquired in the training processes throughout the degree. The internships represent a decisive opportunity for the personal development and professional future of the students.
Internships are activities carried out by the student in companies, institutions and organizations; that is, in centers outside the university premises, which aim to enrich and complement their university education, while providing them with a deeper knowledge about the skills they will need in the future.
The External Practices subject will consist of two phases.
First. Completion of the internship period that offers professional experience related to any of the profiles that are expressed in the Verification Report of the degree.
Second. Preparation of memory.
Documentation:
Degree Training Project
External Internship Evaluation Manual
Further information: External Internship Unit
Mobility programs
University Master's degrees, due to their duration and characteristics, in general do not specifically contemplate the mobility of their students. However, the Rey Juan Carlos University has different mobility programs for both students and University workers (PDI and PAS) and has procedures for collecting and analyzing information on these mobility programs.
Regulation
- Academic calendar
- Regulations for enrollment and permanence in university master's degrees at the URJC
- academic waiver
- Free Registration
- Refund of Public Prices
- Public prices for university master's degrees
- External Internships
- University Master's Thesis
- Review and Complaint of the Continuous Evaluation in the studies of university master's degrees of the URJC
- Acknowledgments / Adaptations of university master's degrees
- Simultaneity of URJC university master's degree studies
- Regulations of the School of Official Masters
- Addendum to the protocol for adapting teaching at the School of Official Master's Degrees
- Royal Decree 1125/2003, of September 5, which establishes the European credit system and the grading system in official university degrees valid throughout the national territory
STUDENTS
- Students with Functional Diversity
- Visiting Students
- Scholarships from the Ministry of Education:
CALL FOR SCHOLARSHIPS FROM THE MINISTRY OF EDUCATION COURSE 2022/2023
El scholarship application deadline expands until the 16 of May of 2022. The student must apply for the scholarship even without being enrolled in the next course and even without knowing how many subjects he is going to pass in the current course.
Why is the application deadline advanced?
This way you will know if you meet the economic requirements or not before seeing what you are going to study.
For which studies can you apply for a scholarship?
You can apply for a scholarship if you think you are going to enroll in the 2022-2023 academic year at any of the following levels:
- university education for bachelor's and master's degrees.
Not included in this call for scholarships:
- Third cycle studies or doctorate
- Specialization studies
- University titles.
Indefinite subjects at the URJC (TFG, TFM, RAC, Modern Language and External Practices)
In the event that a student has enrolled in the subject of indefinite duration in an academic year and has not been examined, he or she must renew enrollment for successive courses, paying only the secretarial fees and school insurance, if applicable. The student who fails must re-enroll the subject as a second enrollment (third or fourth).
How do Indefinite Subjects affect the Ministry Scholarship?
Students taking indefinite courses (TFG, TFM, RAC, Modern Language and External Practices) They should know that, if you have not applied or they have not graded it in the current course and even if you do not have to pay the registration fee for said subject again in the following course, those credits would count as not passed for the ministry's scholarships.
Example: in the case of Modern Language, the student who has registered for the subject and who has some specific particularity (for example, who is an applicant for the MEC Scholarship) will have to take into account the requirements of said particularity when applying. decide when to enroll in a course of the subject (for example, if the MEC scholarship asks for a % of credits passed over the credits enrolled and the student enrolls but does not enroll in a group, the credits will appear for scholarship purposes as credits enrolled , but not yet passed in that academic year and this may harm you when obtaining said scholarship).
Cancellation, extension or modification of registration for scholarship applicants at the URJC
Those students who have applied for a scholarship must take into account that they can only request cancellation and/or change of subjects, which implies a reduction in credits, within the first set deadline. In the second term they will not be able to request a reduction in the number of credits initially registered.
Change of subjects: All those students who have applied for a Scholarship from the Ministry of Education must bear in mind that, in the second period of modification, they can only request the change between subjects with the same or higher number of credits, in no case lower.
Cancellation of subjects: Those who wish to request the cancellation of subjects already enrolled must check said subjects. All those students who have applied for a Scholarship from the Ministry of Education must take into account that, in the second modification period, it is not possible to apply the cancellation of subjects.
Extension of subjects: The student who wishes to request the extension of subjects in his registration must check said subjects. All those who have applied for a Scholarship from the Ministry of Education must take into account that, in the second modification period, it is possible to apply the extension of subjects.
Important information: Enrollment increase and reduction for students with a scholarship from the Ministry of Education
It will be considered that the student has only full registration when you are enrolled in all the credits corresponding to the course of your training itinerary. In this case, you will be eligible for all the aid from the Ministry of Education Scholarship. On the contrary, if the established number of credits is not reached, they will only opt for the amounts of Registration y Minimum Variable, when considered partial enrollment.
“.The beneficiaries of said scholarships must, in addition, exceed at least 50 percent of the credits or subjects in which they have enrolled, with the exception of scholarship holders of university education of the branches of Sciences and Technical Education that must pass, at least, 40 percent of them. Failure to comply with this last obligation will entail the reimbursement of all the components of the scholarship with the exception of the tuition scholarship”
For students applying for Ministry of Education Scholarshipwill not be taken into account For the purposes of fulfilling the academic requirements, the subjects or credits validated or adapted.
How much money can you receive for your scholarship
The scholarship is the sum of different components. To calculate how much corresponds to you, you must bear in mind that the scholarship consists of a fixed amount of money (fixed amounts) and a variable amount of money (variable amount).
Fixed quantity
It is called a fixed amount because, unlike the variable amount, it is a fixed amount established each year in the call. If you meet all the requirements (general, economic and academic), you can get the sum of all the amounts that we explain below:
COMPONENTS
AMOUNT IN EUROS
tuition scholarship
It will include the amount of the credits for which you enroll for the first time
For family income
€1.700
For change of residence during the school year
€1.600
for academic excellence
50 € - 125 €
Take into account the following remarks:
- The price per credit will be the official price set in the 2022/2023 academic year. for academic services depending on the different degrees and universities.
- The scholarship does not cover second or subsequent registrations: only the price of the credits in which you enroll for the first time.
- It only covers the minimum required credits to obtain the degree.
- If you study or are going to study in a center attached to the URJC, the scholarship covers only the public price set by the Decree on Public Prices of the Community of Madrid.
variable quantity
Once we have assigned the fixed amount scholarships to all the people who have requested it and who meet the requirements, we distribute the amount that is left over from the total budget. We do this by means of a mathematical distribution formula that weights, that is, measures, the average grade of your file and your per capita family income.
In any case, the variable amount will be the minimum (60 €) if you enroll for a number of credits between 30 and 59 (partial enrollment) or if you take a double degree, in half of the credits that correspond to the full enrollment
Access to the call and application to apply for a scholarshipClaims: If you have been required to present documentation, you can do so in person through General Instance , addressed to the URJC Scholarship Service, in the General Registry, Auxiliary Registries or in the places and forms indicated in art. 16.4 of Law 39/2015 of Common Administrative Procedure, or electronically, through the Electronic Registry of the Electronic Office of the URJC
Attention to the applicant: Student help box
- Until September 30 Undergraduate students and until October 15 for Master's
You can make a single request to modify the subjects corresponding to the first and second semester.
- From January 20 to January 31 for Undergraduate students and from February 1 to 15 for Master's degrees.
You can make a single request to modify the subjects of the second semester.
Those students who have applied for scholarship, they should take into account that They may only request cancellation, extension and/or change of subjects within the first established period. In the second term they will not be able to request a reduction in the number of credits initially registered.
COEXISTENCE REGIME
SCHOOL INSURANCE
ASSOCIATIONS
Llaza Quality guarantee
Results report
Once the monitoring of the Master's Degree has been carried out, the most relevant quantitative information on the results obtained in the monitoring of said Degree is displayed, differentiated by academic year.
Report by course:
--
General information collection plan
Within the quality assurance system of the Rey Juan Carlos University, the following surveys are planned:
- Student profile
- Teacher evaluation
- Degree of satisfaction:
- Of the students
- of the graduates
- From the Faculty
- Administration and Services Staff
- Labor insertion
- External internships:
- Satisfaction of interns
- External tutor satisfaction
- Employer satisfaction
Survey results:
Improvement actions
The Quality Assurance System of the Rey Juan Carlos University establishes that the degree's Quality Assurance Commission will annually analyze the information derived from the degree's indicators and prepare a report that will include improvement plans if the results so indicate.
Renewal of accreditation
The renewal of the accreditation represents the culmination of the implementation process of the official Bachelor's and Master's degrees registered in the Register of Universities, Centers and Degrees (RUCT). The renewal of the accreditation of official bachelor's and master's degrees is organized in three phases: self-assessment report, external visit and final assessment.
In the first phase, the university describes and assesses the status of the degree with respect to the established criteria and guidelines. The result is the Self-Assessment Report (IA) that is presented. The second and third phases are carried out by a group of evaluators external to the evaluated title.”