Mathematics - Rey Juan Carlos University

Basic Information

What knowledge will I acquire with this Degree?

Future graduates of the Degree in Mathematics will have a solid analytical and abstract base, and intuition and logical and rigorous thinking that will enable them to analyze and solve problems in a wide range of sectors. The subjects studied throughout the Degree address the three main branches of mathematics: calculus, algebra and probability, accompanied by extensive computer knowledge.

Where will I be able to work when I graduate?

Mathematics studies offer great job prospects in the field of data analysis, modeling and problem solving, decision-making analysis, financial analysis, industrial design, creation of models for simulation, prototyping of numerical solutions, teaching and research among others. others. His contribution is essential in any discipline today, which results in little or no unemployment rate among graduates of degrees associated with the field of mathematics.

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 2015-16.

The final verification report turned out FAVORABLE

Favorable report first modification

Favorable report second modification

What subject areas will I address in this grade?

MODULE	ECTS CREDITS	CONTENTS
1. Common Core Knowledge Module	24	This module includes the subjects common to all the degrees that can be taken at the URJC.
2. Branch basics module	36	Here the basic training subjects are grouped for the degrees of the branch of Sciences, in which this Degree is framed.
3. Mandatory knowledge module	120	This module includes the subjects that make up the main body of the degree.
4. Optional knowledge module	18	Here are subjects that complement the student's training, allowing him to achieve a certain degree of specialization in the chosen subjects.
5. External internship module	24	The student will carry out internships in companies or institutions in which they will develop activities that will complement their training.
6. Academic credit recognition module	6	This module is passed through the participation of the student in sports university activities, student representation, solidarity and cooperation.
7. Final Degree Project Module	6	As the last subject, the student will carry out a Final Degree Project in which they will put into practice the skills acquired throughout the degree.

The subjects of modules 1, 2, 3 and 4 are included in the following subjects:

RAW MATERIAL	ECTS CREDITS (MANDATORY / OPTIONAL)
1.1. History of Science and Mathematics	6 / 0
1.2. Ethics, Legislation and Data Protection	6 / 0
1.3. modern language	6 / 0
1.4. Introduction to Programming	6 / 0
2.1. Physical Foundations for Computer Systems	6 / 0
2.2. Linear algebra	6 / 0
2.3. Biological Foundations for Models in Bioengineering and Bioinformatics	6 / 0
2.4. Calculation	6 / 0
2.5. Vector Analysis I	6 / 0
2.6. Chemical Foundations for System Models	6 / 0
3.1. Logic	6 / 0
3.2. Algebraic Structures	6 / 0
3.3. Discrete Mathematics	6 / 0
3.4. Probability	6 / 0
3.5. Formal languages	6 / 0
3.6. Affine Geometry	6 / 0
3.7. Programming Methodology	6 / 0
3.8. Advanced Algebraic Structures	6 / 0
3.9. Statistical Methods of Management and Operations Research	6 / 0
3.10. Topology	6 / 0
3.11. Vector Analysis II	6 / 0
3.12. Ordinary differential equations	6 / 0
3.13. Data and Information Modeling	6 / 0
3.14. Curves and Surfaces	6 / 0
3.15. Complex Variable and Functional Analysis	6 / 0
3.16. Mathematical Statistics	6 / 0
3.17. Partial Derivative Equations	6 / 0
3.18. Software Modeling	6 / 0
3.19. Computational geometry	6 / 0
3.20. Design and Analysis of Algorithms	6 / 0
3.21. Numerical methods	6 / 0
4.1. Statistical Models for Prediction	0 / 6
4.2. Data mining	0 / 6
4.3. Decision Systems	0 / 6
4.4. Network Optimization and Analysis	0 / 6
4.5. Cryptography	0 / 6
4.6. Mathematics, Internet and Social Networks	0 / 6
4.7 Artificial intelligence	0 / 6
4.8. Computer Graphics	0 / 6
4.9. Advanced Algorithms	0 / 6

Recommended Income Profile

On the recommended income profile, there is no restriction other than that established by law (EvAU). However, according to the objectives of the training program and the study plan of the degree, it can be established that the ideal entry profile, from an academic point of view, is that of students with a good background in Mathematics.

Objectives

The fundamental objective of the Degree in Mathematics from the Rey Juan Carlos University is to train highly qualified professionals in mathematical formulation, analysis, resolution and, where appropriate, computer processing of problems in various interdisciplinary fields.

This degree covers from theory to practice, in order to train graduates who master new technologies.

In this sense, Mathematics graduates can perform an enormous variety of jobs, from analyzing and solving problems, to effectively leading and integrating multidisciplinary work teams, devising solutions to real-world problems. Mathematics-related graduate and master's programs will allow students to specialize in some of these fields

Competences

GENERAL COMPETENCIES

CB1 Possess and understand the basic and mathematical knowledge of the different modules that, starting from the base of general secondary education, and supported by advanced textbooks, are developed in the proposed degree in Mathematics that is presented.
CB2 Know how to apply this basic and mathematical knowledge to their work or vocation in a professional way and possess the skills that are usually demonstrated through the elaboration and defense of arguments and the resolution of problems within mathematics and areas in which they are directly applied.
CB3 Know how to gather and interpret relevant data (normally of a mathematical nature) to make judgments that include a reflection on relevant issues of a social, scientific or ethical nature.
CB4 Being able to transmit information, ideas, problems and their solutions, in written or oral form, to both a specialized and non-specialized audience
CB5 Having developed those learning skills necessary to undertake further studies with a high degree of autonomy.
CB6 Use search tools for bibliographic resources
CB7 Be able to communicate in another relevant language in the scientific field

SPECIFIC COMPETENCES

CE1 Understand and use mathematical language. Acquire the ability to state propositions in different fields of mathematics, to build proofs and to transmit the mathematical knowledge acquired
CE2 Know rigorous proofs of some classical theorems in different areas of mathematics.
CE3 Assimilate the definition of a new mathematical object, in terms of others already known, and be able to use this object in different contexts
CE4 Know how to abstract the structural properties (of mathematical objects, of the observed reality, and of other areas) distinguishing them from those that are purely occasional, and be able to verify them with demonstrations or refute them with counterexamples, as well as identify errors in incorrect reasoning.
CE5 Solve mathematical problems, planning their resolution based on the available tools and time and resource constraints
CE6 Propose, analyze, validate and interpret models of simple real situations, using the most appropriate mathematical tools for the purposes pursued.
CE7 Use computer applications for statistical analysis, numerical and symbolic calculation, graphic visualization, optimization or others to experiment in mathematics and solve problems.
CE8 Basic knowledge about the use and programming of computers, the development of programs, and the ability to acquire, obtain, formalize and represent human knowledge in a computable way, for problem solving.

Minimum stay requirements

The permanence of the students in the Degree studies will be a maximum of eight years for full-time students. Part-time students may request an extension of up to two more years from the Rector.
In Bachelor's degrees lasting more than 240 credits (4 years), the maximum of the previous section will be increased by one more year for every 60 ECTS credits that are added to the 240 ECTS.
Students must pass a minimum of two subjects in the first year. Students studying part-time must pass at least one subject in their first academic year.
Students who are studying any official Bachelor's degree at the Rey Juan Carlos University may make a maximum of four registrations to pass each of the subjects of the study plan, without counting previous cancellations of the same.

For more information see: Permanence regulations

Minimum number of ECTS credits by type of enrollment and course

Full-time students:

COURSE	MINIMUM	MAXIMUM
1º Course	48 ECTS	78 ECTS
Other courses	48 ECTS	78 ECTS

Part-time students:

COURSE	MINIMUM	MAXIMUM
1º Course	24 ECTS	47 ECTS
Other courses	24 ECTS	47 ECTS

Access and registration

Log in

Access to official undergraduate education will require possession of a bachelor's degree or equivalent and passing the test referred to in article 42 of Organic Law 6/2001, on Universities, modified by Law 4/2007, of April 12, without prejudice to the other access mechanisms provided for by current regulations.

The number of places offered for new admission are:

Móstoles Campus: 35 places (including transfer admission places)

Double Degrees

Mostoles Campus	Primary Education – Mathematics	10 places
	Software Engineering - Mathematics	10 places
	Computer Engineering - Mathematics	10 places
	Economics - Mathematics	10 places

Matriculation year

The enrollment process at the Rey Juan Carlos University is done through the Internet. You can carry out the procedures on the computers installed on campus or through any computer with network access. You can check the deadlines at registration , as well as the different requirements and necessary documents.

Training itinerary

ACCESS THE COURSE GUIDES OF THE DEGREE

Subject dependency

Itinerary Information (Erasmus/World)

FBC: Common Basic Training, they are validated with their counterparts of all grades
FBR: Basic Branch Training, they can be validated with their branch counterparts, taking into account the adequacy between the skills and knowledge acquired.
OB: Compulsory
OP: Optional

1st COURSE
Semester	Subject	Character	Credits
1	Linear algebra	FBR	6
1	Biological Foundations	FBR	6
1	Logic	OB	6
1	Introduction to Programming	FBC	6
1	Discrete Mathematics	OB	6
2	Algebraic Structures	OB	6
2	Calculation	FBR	6
2	Physical Foundations	FBR	6
2	Ethics, Legislation and Data Protection	FBC	6
2	Probability	OB	6
Total credits to study: 60

2st COURSE
Semester	Subject	Character	Credits
1	Formal languages	OB	6
1	History of Science and Mathematics	FBC	6
1	Affine Geometry	OB	6
1	Programming Methodology	OB	6
2	Advanced Algebraic Structures	OB	6
2	Statistical Methods of Management and Research	OB	6
2	Vector Analysis I	FBR	6
2	Chemical Basics	FBR	6
2	Topology	OB	6
Annual	modern language	FBC	6
Total credits to study: 60

3st COURSE
Semester	Subject	Character	Credits
1	Vector Analysis II	OB	6
1	Ordinary differential equations	OB	6
1	Data and Information Models	OB	6
1	Curves and Surfaces	OB	6
1	Mathematical Statistics	OB	6
2	Complex Variable and Functional Analysis	OB	6
2	Partial Derivative Equations	OB	6
2	Software Modeling	OB	6
2	Computational geometry	OB	6
2	Design and Analysis of Algorithms	OB	6
Total credits to study: 60

4st COURSE
Semester	Subject	Character	Credits
1	Numerical methods	OB	6
1	Optional 1	OP	6
1	Optional 2	OP	6
1	Optional 3	OP	6
1	Academic Recognition of Credits	OB	6
Annual	Final Degree Project	OB	15
Annual	External Internships	OB	15
Total credits to study: 60

OPTIONAL
Semester	Subject	Character	Credits
1	Data mining	OP	6
1	Network analysis and optimization	OP	6
1	Statistical models for prediction	OP	6
1	Actual Variable	OP	6

Material resources

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 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 your university education, while providing you with a deeper knowledge about the skills you will need once you have graduated.

The External Practices subject will consist of two phases:

Completion of the internship period that offers professional experience related to any of the graduate profiles that are expressed in the Verification Report of the degree.
Elaboration of the memory

Documentation:

Degree Training Project

For more information: External Internship Unit

Social Security contributions for interns starting January 1, 2024

Academic Recognition of Credits

Regulations for academic recognition of credits in undergraduate studies

Mobility programs

ERASMUS

The Erasmus program makes it easy for URJC students -both undergraduate and postgraduate- to study one or several semesters at one of the European universities with which the URJC has agreements.

These exchanges traditionally have an economic endowment thanks to the Erasmus Scholarships provided by the EU and the Spanish Ministry of Education.

ERASMUS (intranet)

WORLD

The Munde program manages mobility with universities from countries not included in the Erasmus Program.

The possibility of obtaining a scholarship or economic endowment and its amount depends, in each case, on the agreements with the universities, countries or entities that sign it.

WORLD (intranet)

For more information:

URJC Mobility

SICK

SICUE is a national mobility program for GRADOS university students that allows them to carry out part of their studies at another Spanish university with guarantees of academic recognition, use and adaptation to their curricular profile.

SICUE Mobility

Student support programs

Orientation to future students. The University offers various orientation programs for future students: we carry out visits to high schools and secondary schools, we organize guided visits to the Campuses, we are present in the Classroom and, at the beginning of each course, we carry out welcome days to guide students new students.

academic tutorials. Each teacher carries out, within their teaching planning, academic tutorials on their subject.

Coordinator of the degree. It works to promote coherence and balance between the subjects and the workloads of the students.

mentoring program. The URJC has this program, peer tutoring, in which the students of the last years act as mentors with the first year students.

Students with disabilities. The Support Office for Persons with Disabilities offers guidance and assistance to students with special needs.

Scholarships . The Rey Juan Carlos University manages the main scholarships and annual grants, both its own and from other official bodies: Ministries, Community of Madrid, International Organizations and other entities. It also publishes and disseminates those scholarships and grants of interest to its students and graduates. Throughout the course, students receive information about them through the different communication channels established.

Job placement program. The Rey Juan Carlos University, through the External Internship Unit and the Graduates Office, organizes conferences, workshops and various actions aimed at supporting and guiding students in their job search, to improve their employability and promote job placement . The University has a Job Exchange -a platform available to companies and graduates- where institutions can carry out their selection processes.

Regulation

ACADEMIC CALENDAR

Academic Calendar

REGISTRATION

*The rates corresponding to double degrees with different degrees of experimentality will be applied as established in the new Decree 43/2022, of June 29, of the Government Council, which establishes the public prices for university studies leading to official degrees and services of an academic nature in the public universities of the Community of Madrid*

TRAINING PROCESS

REVIEWS AND REVIEWS

Validation, adaptation of studies, recognition of credits and homologation of foreign qualifications

UNIVERSITY DEGREES

Extinction of university degrees

VISITING STUDENTS AND FUNCTIONAL DIVERSITY

COEXISTENCE REGIME

Coexistence Regulations of the Rey Juan Carlos University for the Development of Law 3/2022, of February 24, on University Coexistence, approved by Agreement of March 30, 2023, of the Governing Council of the University

SCHOOL INSURANCE

School insurance

ASSOCIATIONS

Regulation of student associations

Quality guarantee

External monitoring report

RUCT link

BOCM Link

Internal quality assurance system

Manual of the Internal Quality Assurance System

Composition of the commission

Composition of the Commission

Results report

Once the follow-up has been carried out, the quantitative information on the results obtained in the follow-up of said Degree is shown, 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:

- New students

- Teacher evaluation

- Student satisfaction

- Satisfaction of the graduates

- Labor insertion

- Causes of abandonment

- Career path:

Second year after graduation
Third year after graduation
Fourth year after graduation

- Degree of satisfaction:

Faculty with the campus and university
Teacher with degree
of the evaluators
Incoming student mobility program
Outgoing Student Mobility Program
Administration and services staff with the university

- External internships:

Student satisfaction
External tutor satisfaction
Evaluator 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.

will 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.”