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Plan de estudios: DEGREE IN MATHEMATICS
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DEGREE IN MATHEMATICS

Code:
 C052

Credits:
 240
 
Publication date:
 22/03/2012

Title:
 Undergraduate 3-5 years (ECTS)
 
Fee:
 19,30
 Créditos en 1ª matrícula
 

FIELD OF STUDY

Sciences

SYLLABUS

DEGREE IN MATHEMATICS

TYPE OF EDUCATION

Face-to-face

LANGUAGE / S THAT IS OFFERED

Spanish

CENTRES WHERE IT IS TAUGHT

Faculty of Science

PROGRAMME JOINTLY SHARED WITH

Only taught at this university

EXAMINATION DATES

Enter the list of examination dates for this graduate programme.

SYLLABUS OFFERED

 

Legend: Not offeredNo teaching
FIRST YEAR
SECOND YEAR
12 credits
 
Year
Title
Credits
Subject
48 credits
 
 
THIRD YEAR
60 credits
 
 
FOURTH YEAR
24 credits
 
Year
Title
Credits
Subject
4
COMPULSORY
6
 
4
COMPULSORY
6
 
4
COMPULSORY
6
 
4
END OF DEGREE WORK
6
 
 
36 credits
 
 
 
 
Once this block is approved, you get
DEGREE IN MATHEMATICS
ROUTE1. GENERAL MATHEMATICS
24 credits
 
Year
Title
Credits
Subject
 
Once this block is approved, you get
ROUTE 1: GENERAL MATHEMATICS
ROUTE 2. DATA ANALYSIS AND APPLIED ALGEBRA
24 credits
 
Year
Title
Credits
Subject
 
Once this block is approved, you get
ROUTE 2: DATA ANALYSIS AND APPLIED ALGEBRA
ROUTE 3. MATHEMATICS APPLIED TO SOCIAL SCIENCES
24 credits
 
Year
Title
Credits
Subject
 
Once this block is approved, you get
ROUTE 3: MATHEMATICS APPLIED TO THE SOCIAL SCIENCES


GENERAL AIMS OF THE DEGREE


As part of the area of the Sciences, teaching on the Degree in Mathematics is aimed at giving students a general education in Mathematics as a scientific discipline which will equip them for professional practice, where they will be required to apply the skills thus acquired. These professional activities include teaching and research in Mathematics, together with other applications in industry, business and administration.

More specifically, the Degree in Mathematics trains students in mathematical formulation, analysis, problem-solving and, where applicable, data processing of the problems that may arise in the various fields of the basic sciences, social and life sciences, engineering, finance, consultancy, etc.

The specific aims of the Degree in Mathematics are as follows:

- To give students an understanding of the nature, methods and purposes of the many fields within Mathematics, along with a reasonable historical perspective of how they were developed.

- To examine the underlying presence of Mathematics in nature, science, technology and art. To ensure that Mathematics is recognised as an integral part of Education and Culture.

- To develop students’ capacity for analytical and abstract thought, intuition and logical and ordered reasoning, through the study of Mathematics.

- To train students in the use of the theoretical and practical knowledge acquired in defining and approaching problems and in seeking solutions, whether in an academic or professional setting.

- To prepare students for further specialised study, whether in mathematical disciplines or in any of the sciences requiring a good grounding in mathematics.

- To prepare students for the labour market, with direct access to mid- and high-level positions.

 

COMPETENCES


Generic Degree Course Competences

  • CG1:Develop the capacity for analysis, synthesis and critical reasoning.
  • CG2:Show the ability for effective and efficient direction/management: entrepreneurial spirit, creativity, organisation, planning, control, decision making and negotiation.
  • CG3:Resolve problems effectively.
  • CG4:Show ability for teamwork.
  • CG5:Commitment to ethics, the values of equality and social responsibility as a citizen and as a professional.
  • CG6:Learn autonomously.
  • CG7:Show the ability to adapt to new situations.
  • CG8:Acquire a permanent concern for quality, the environment, sustainable development and health and safety at work.
  • CG9:Demonstrate the ability to transmit information, ideas, problems and solutions to both specialist and non-specialist audiences.

Specific Generic UA Competences

  • CGUA1:Understand scientific English.
  • CGUA2:Express oneself correctly both orally and in writing in any of the official languages of the Region of Valencia.
  • CGUA3:Possess computer knowledge related to the field of study.
  • CGUA4:Acquire or posses basic ICT (Information and Communication technology) skills and manage the information obtained appropriately.

Specific Competences (CE)

  • CE1:Understand and use mathematical language. Acquire the capacity to enunciate propositions in different fields of Mathematics, to construct demonstrations and transmit the mathematical knowledge acquired.
  • CE2:Understand rigorous demonstrations of certain classical theorems in different fields of Mathematics.
  • CE3:Assimilate the definition of a new mathematical object in terms of others already known and be able to use said object in different contexts.
  • CE4:Know how to abstract the structural properties (of mathematical objects, of observed reality and other contexts) distinguishing them from those that are purely occasional and be able to prove them with demonstrations or refute them with counter-examples, as well as identify errors of incorrect reasoning.
  • CE5:Propose, analyse, validate and interpret models of simple real-life situations, using the most appropriate mathematical tools for the purpose.
  • CE6:Solve mathematical problems using basic calculus skills and other techniques, planning their resolution according to the tools available and any time and resource restriction.
  • CE7:Use computer applications for statistical analysis, numerical calculus and symbolic calculus, graphic visualisation and others to experiment in Mathematics and solve problems.
  • CE8:Develop programmes that solve mathematical problems using the appropriate computational environment for each particular case.
  • CE9:Use bibliographic search tools for Mathematics.
  • CE10:Communicate, both orally and in writing, mathematical knowledge, procedures, results and ideas.
  • CE11:Ability to solve academic, technical, financial and social problems using mathematical methods.
  • CE12:Ability to work in a team, providing mathematical models adapted to the needs of the group.
  • CE13:Understand and apply the fundamental concepts of physics.
  • CE14:Solve qualitative and quantitative problems using previously developed models.
  • CE15:Recognise and analyse new problems and prepare strategies to resolve them.
  • CE16:Prepare, present and defend scientific reports both in writing and orally to an audience.
  • CE17:Develop intuition in Physics.
  • CE18:Understand the application of the fundamentals of mathematics to solving problems associated with Chemistry.

 

STRUCTURE OF THE DEGREE COURSE - CREDITS


The University of Alicante Mathematics Degree course programme is worth a total of 240 credits, spread over four years. Each year is worth 60 ECTS credits, and work is evenly distributed by dividing each year into 30-credit semesters. The 240 credits cover all the theoretical and practical learning to be acquired by students.

In order to make the course compatible with other activities, students are allowed to take a part-time course consisting of 30 credits per academic year.


DISTRIBUTION OF CREDITS PER SUBJECT TYPE


Subject type

Credits

Core

60

Compulsory

138

Optional

36

Final Project

6

Total credits

240


GENERAL DESCRIPTION OF THE COURSE PROGRAMME


The Course Programme is divided into three modules (Core, Compulsory and Optional). The core module comprises 8 subjects in the first year and two subjects in the second. It is worth 60 credits, of which 36 are fundamental to the area of the Sciences, including subjects from the disciplines of Mathematics, Physics and Chemistry. Two subjects from the areas of Engineering and Architecture have also been included: Scientific Calculation and Text Processing Programmes and Algorithms, along with another two from the area of the Social and Legal Sciences: Introduction to Statistics and Probability.

All subjects, including the Final Project, are worth 6 credits.

Optional subjects are organised into 3 routes:

- General Mathematics;

- Data Analysis and Applied Algebra;

- Mathematics applied to Social Sciences.

Each route includes four compulsory subjects and a total of 12 optional subjects are also offered. Students are required to choose a route (4 optional subjects) and another two subjects from the remaining 8, if they wish to obtain official recognition of the route chosen.

Students may take 6 or 12 credits as work experience instead of one or two optional subjects, respectively, as long as these latter do not comprise compulsory subjects for the chosen route.

In the Final Project, students should demonstrate that they have acquired the proficiencies associated with the degree, by means of writing, presenting and defending a report on an original piece of work.

Before evaluation their final project, students must provide academic evidence of ability in a foreign language to at least level B1. Students may take up to 12 credits for work experience exclusively related to the experimental blocks of the Final Project. In this case, the Degree Supplement will specify that work experience comprised part of the student’s Final Project.


OPTIONAL SUBJECTS AND ROUTES


Optional subjects are organised into 3 routes: General Mathematics; Data Analysis and Applied Algebra; Mathematics applied to the Social Sciences. Each route comprises four compulsory subjects.

A total of 12 optional subjects are offered. Students are required to choose a route (4 optional subjects) and another two subjects from the remaining 8, if they wish to obtain official recognition of the route chosen.  Students may take 6 or 12 credits as work experience instead of one or two optional subjects, respectively, as long as these latter do not comprise compulsory subjects for the chosen route.

Anyway, the student will have to have guaranteeed the possibility to obtain academic recognition of until a maximum of six credits optativos of the total of the plan of studies cursado, by the participation in cultural university activities, sportive, of representation estudiantil, solidarias and of cooperation. Before the beginning of each academic course, the Council of Government will define the nature of the activities that will have this academic recognition.

OPTIONAL SUBJECTS

ECTS

ROUTE A: GENERAL MATHEMATICS

MEASURE THEORY

6

CONVEX ANALYSIS

6

GROUP THEORY

6

ALGEBRAIC TOPOLOGY

6

ROUTE B: DATA ANALYSIS AND APPLIED ALGEBRA

STOCHASTIC PROCESSES

6

TIME SERIES

6

CODE THEORY

6

DATA ANALYSIS II

6

CRYPTOGRAPHY

6

ROUTE C: MATHEMATICS APPLIED TO THE SOCIAL SCIENCES

GAME THEORY

6

COLLECTIVE DECISIONS

6

THE ECONOMICS OF INFORMATION AND UNCERTAINTY

6

NON-ROUTE SUBJECTS

WORK EXPERIENCE I

6

WORK EXPERIENCE II

6

LANGUAGE REQUIREMENT (IN A FOREIGN LANGUAGE)

Students who study an undergraduate degree at the University of Alicante must confirm a minimum level of B1 in a foreign language (a B2 is recommended) in order to obtain the diploma.  

The required language level is in accordance with the Common European Framework of Reference for Languages. 

The language accreditation requirement can be obtained previously or at any time during university studies. However, the language requirement will be necessary in order to be able to assess the final year project.

The different forms of obtaining such language requirement can be consulted in the additional information in this section.  

+info

LANGUAGE TEACHING COMPETENCE CERTIFICATE

Students who want to have a career in non-university teaching when they finish their studies are recommended to obtain the teaching competence certificate (Valencian and/or foreign languages).

This certificate can be obtained by taking specific itineraries in your university studies or by taking the UA teaching competence course in Valencian, German, French and English.

+info

FINAL YEAR PROJECT (TFG)

All the official undergraduate degrees must be completed by preparing and defending a final year project, which must be done in the final phase of the studies and be aimed at the assessment of competences associated to the degree.

The final year project must be an original, independent and personal work. The elaboration of it may by individual or coordinated. Each student will prepare this project under the supervision of a tutor, allowing students to show the received training content in an integrated many, as well as the acquired competences associated to the undergraduate degree.

In order to register in the final year project, students must comply with the requirements established in the “Regulations for continuation studies for students registered in undergraduate degrees at the University of Alicante”. Among the requirements established to be able to register in the final year project, a minimum of 168 credits must be passed in undergraduate degrees with a total of 240 credits, and a minimum of 228 credits in undergraduate degrees with a total of 300 credits or more.

In order for the final year project to be assessed, a B1 level of a foreign language (B2 is recommended) must be confirmed.

+info

 

Access routes

Procedure for applying for admission

Recommended applicant profile

Number of places and court notes

 

ACCESS ROUTES

 

Admission to this degree course is open to any applicant who meets one of the following entrance requirements:

1. HIGH SCHOOL DIPLOMA AND UNIVERSITY ENTRANCE EXAMINATION (Selection Examination). Although admission will be granted for all high school diploma disciplinary routes, it is recommended that applicants have studied the following disciplinary routes: Science and Technology.

Applicants’ admission grades for this course can be improved by taking the corresponding specific subject paper in the university entrance examination.  Papers for specific subjects with their corresponding weightings can be consulted in the table below.

 

High School Diploma Subjects

Parámetros de ponderación
Análisis Musical II Biología Ciencias de la Tierra y Medioambientales Dibujo Artístico II Dibujo Técnico II Diseño Economía de la Empresa Electrotecnia Física Geografía Griego Historia de la Música y de la Danza  Historia del Arte Latín Lenguaje y Práctica Musical Literatura Universal Matemáticas Aplicadas a las Ciencias Sociales II Matemáticas II Química Técnicas de Expresión Gráfico Plásticas Tecnología Industrial II

Academic Years 2010-11

2011-12

0.1                                          
0.2
x
x

x     x
x
                x
x
  x

Academic Years

2012-13

2013-14

2014-15

2015-16

0.1
x
x


    x

               
x
   x
0.2    
     
   x                 x
     

 

 2. PREVIOUS HIGH SCHOOL DIPLOMA OR EQUIVALENT QUALIFICATIONS FROM PREVIOUS EDUCATIONAL STRUCTURES WITH OR WITHOUT UNIVERSITY ENTRANCE EXAMINATION: 

Applicants who have passed the previous entrance examination, or applicants who have not passed the previous entrance examination but hold one of the following qualifications: LOGSE high school diploma, COU, Pre-university course certificate, or any other qualification equivalent to the high school diploma, may take the new entrance examination.

Applicants who have passed the previous entrance examination may take a specific subject paper in order to improve their admission grade, but must still take the general examination.  Applicants who have not passed the entrance examination must take the general examination and may, if they wish, take the specific subject paper in order to improve their admission grade.

For specific subjects, the weightings indicated in the previous section must be taken into account.

3. VOCATIONAL TRAINING: Qualifications in Advanced Vocational Training, Advanced Technician in Plastic Arts and Design or Advanced Technician in Sports: admission is granted for any vocational area.  

Applicants’ admission grades for this course can be improved by taking the corresponding specific subject paper in the university entrance examination.  Papers for specific subjects with their corresponding weightings can be consulted in the table 1.

4. STUDENTS FROM EUROPEAN UNION EDUCATIONAL SYSTEMS OR OTHER STATES WITH WHICH SPAIN HAS A RELEVANT INTERNATIONAL AGREEMENT.  AN ACCESS CERTIFICATE IS REQUIRED, issued by the UNED (Spanish National University for Distance Education). Applicants may take the specific subject paper in order to improve their admission grade.  They may also take the complete university entrance examination.

5. STUDENTS FROM FOREIGN EDUCATION SYSTEMS, FOLLOWING APPLICATION FOR HOMOLOGATION OF THEIR ORIGINAL HIGH SHCHOOL DIPLOMA WITH THE SPANISH HIGH SCHOOL DIPLOMA, AND SUCCESSFUL COMPLETION OF THE UNIVERSITY ENTRANCE EXAMINATION ORGANISED BY THE UNED.

6. ADMISSION FOR APPLICANTS OVER 25 YEARS OF AGE Specific university entrance examination.  From the total places offered, a minimum of 2% are reserved.  Preference is given to Sciences. + info

7. ADMISSION FOR APPLICANTS OVER 40 YEARS OF AGE who do not hold academic qualifications but have accredited work and professional experience in accordance with accreditation criteria and the work and professional experience concerned.  An interview will be held.  A series of places are reserved for applicants over 40  years of age, of between 1% and 3% of the total places offered.  +info

8. ADMISSION FOR APPLICANTS OVER 45 YEARS OF AGE. Specific university entrance examination.  This access route is open to applicants who do not hold a qualification which would qualify them for admission by another route, and who cannot accredit work and professional experience.  A series of places are reserved for applicants over 45 years of age, of between 1% and 3% of the total places offered. + info

9. UNIVERSITY DEGREES OR EQUIVALENT. 3% of the total places offered are reserved.


PROCEDURE FOR APPLYING FOR ADMISSION: PRE-ENROLMENT AND REGISTRATION

  • Anticipated number of places offered during the first pre-enrolment session: 50 
  • Applicants admitted to a course must formally register within the timescale established annually in the enrolment calendar. Registration Information.


RECOMMENDED APPLICANT PROFILE

 

It is recommended that students who wish to study for a degree in Mathematics have a basic scientific-technical education, and should have studied, at least, the subjects Mathematics II, Physics and Chemistry in their second year of the high school diploma course.

Among the qualities the future Mathematics student should possess, the following are of especial relevance:

  • Capacity for work (perseverance, method and rigour).
  • Capacity for reasoning and critical analysis.
  • Scientific spirit.
  • Capacity to obtain, interpret and apply knowledge.
  • Problem-solving skills.
  • Capacity for synthesis and abstraction.
  • Recommended complementary education: English and user-level computing skills.

 

NUMBER OF PLACES AND COURT NOTES

 

COURSES

NUMBER OF PLACES

COURT NOTES

GENERAL

OVER

  25

OVER

40

OVER

  45

GRADUATES

SPORTPEOPLE

DISABLED

2010-11

50

7,846

5,760

---

---

---

---

---

2011-12

50

8,937

6,312

---

---

6,500

---

5,000

2012-13

50

8,398

6,880

---

---

5,000

---

---

2013-14

50

7,134

5,000

---

---

5,000

---

---

2014-15

50

8,469

6,110

---

---

---

---

5,000

2015-16

50

9,250

7,350

---

---

8,160

---

---

2016-17

50

9,558

6,290

---

---

5,000

---

---

 

  • "Court notes" indicated correspond to the results of the first adjudication of June.
  • The definitive notes can be inferior to the here collected.


 

 


PROFESSIONAL PROFILES


The Degree in Mathematics equips the student to carry out mathematical formulation, analysis, problem-solving and data processing of problems that may arise in the basic sciences, social and life sciences, engineering, finance, consultancy, etc.

The professional profiles for which the Degree in Mathematics prepares graduates include University teaching or research, Non-university teaching, Public Administration, Banking, Finance and Insurance, Consultancy, IT and Telecommunications, Industry.

 


IMPLEMENTATION


TIMESCALE

Academic Year

Implementation of the new Degree (Grado) in Mathematics

Phasing out of the old Degree (Licenciatura) in Mathematics*

2010-11

1st Year

1st Year

2011-12

2nd Year

2nd Year

2012-13

3rd Year

3rd Year

2013-14

4th Year

4th Year

2014-15


5th Year


*Although this course will no longer be taught, students are entitled to sit two annual examinations, for the corresponding academic year, in the two academic years following implementation of the new degree course.


CREDIT EQUIVALENCE BETWEEN THE FORMER DEGREE AND THE NEW COURSE PROGRAMME


Students who have completed the first year of the Bachelor of Mathematics will be recognized first degree courses, in addition to the subjects that correspond to them in other courses by applying the adaptation table set out below.

This table details the convalidaciones between the asignaturas corresponding to the titulación current and the corresponding to the future degree in Mathematical.

Always that it has been possible, has looked for an equivalence of contents. However, in some cases, the convalidación proposal has to understand like a recognition of credits.


FORMER DEGREE (LICENCIATURA) IN MATHEMATICS

Credits

NEW DEGREE (GRADO) IN MATHEMATICS

ECTS

Mathematical Analysis I

13.5

Real Variable Analysis I

6

Real Variable Analysis II

6

Linear Algebra

12

Linear Algebra I

6

Linear Algebra II

6

Computer Science I

6

Algorithms

6

Computer Science II

4.5

Algorithms

6

Probability Calculations

4.5

Introduction to Statistics

6

Extended Probability Calculations

4.5


Probability Theory

6

First-order Logic

4.5

Foundations of Mathematics

6

Mathematics Laboratory


6

Scientific Calculation and Text Processing Programmes

6

Extended Mathematics Laboratory

4.5

Scientific Calculation and Text Processing Programmes

6

Mathematical Analysis II

9

Real Analysis of Several Variables I

6

Advanced Calculus

6

Real Analysis of Several Variables II

6

Geometry and Topology I

9

Curves and Surfaces

6

Operations Research

12

Linear Programming

6

Extended Geometry and Topology

6

Basic Topology

6

Numerical Methods

12

Numerical Calculus I

6

Matrix Theory

6

Linear Algebra II

6

Statistics

7.5

Statistical Inference

6

Extended Differential Equations

15

Analytical Methods for ODE

6

Qualitative Methods for ODE

6

Extended Statistics

7.5

Statistical Inference

6

Convex Analysis

6

Convex Analysis

6

Economic Theory

6

Collective Decisions

6

Algebra

9

Algebraic Equations

6

Group Theory

6

Mathematical Analysis IV

15

Analysis of Complex Variables

6

Nonnegative Linear Operators

6

The Economics of Information and Uncertainty

6

Applied Mathematics Methods

6

Code Theory

6

Mathematical Methods for Economics

6

The Economics of Information and Uncertainty

6

Time Series and Forecasting

6

Time Series

6

Geometry and Topology II

9

Global Surface Theory

6

Mathematical Analysis V

7.5

Partial Differential Equations

6

Numerical Calculus

9

Numerical Calculus II

6

Decision Theory

6

Collective Decisions

6

Extended Decision Theory

6

Game Theory

6

Data analysis

6

Data analysis I

6

Data analysis II

6

Optimisation

6

Optimisation I

6

Econometric Methods

6

The Economics of Information and Uncertainty

6

Languages, Grammar and Automata

4.5

Code Theory

6

Complexity Theory

4.5

Cryptography

6

Parallel Computing

6

Cryptography

6

Fundamentals of Artificial Intelligence

4.5

Cryptography

6

Abstract Calculus Models

4.5

Scientific Calculation and Text Processing Programmes

6

Matrix-based Computing

4.5

Code Theory

6

Teaching Mathematics in Secondary Education

6

Foundations of Mathematics

6

Measure Theory and Integration

6

Measure Theory

6

Extended Numerical Analysis

6

Numerical Calculus II

6

Control Theory and Stability

6

Stochastic Processes

6

Special Functions

6

Functional Analysis

6

Symbolic Analysis Laboratory

6

Scientific Calculation and Text Processing Programmes

6

Extended Applied Mathematic Methods

6

Stochastic Processes

6

Introduction to Fractal Theory

6

Measure Theory

6

Introduction to Calculus

4.5

Foundations of Mathematics

6

Mathematical Reasoning and Discrete Mathematics

4.5


Students who have successfully completed the first cycle of the former degree programme may enrol on the 4th Year of the new Degree (Grado) in Mathematics. In this case, credit equivalence by subject will not be applied.

The table above lists credit equivalence between subjects on the former and new degree courses.

Whenever possible, we have tried to ensure content equivalence. However, in some cases, the proposed credit equivalence should be understood as recognition of credits.

 

Correspondence between UA Science Faculty degrees:

The University of Alicante Science Faculties offers five degrees in the area of Science (Biology, Marine Sciences, Geology, Chemistry and Mathematics) and one degree in the area of the Health Sciences (Optics and Optometry). In order to facilitate mobility between studies at the end of the first year, students entering the Mathematics degree programme from other Science Faculty degree programmes will have all their first year credits recognised, whether or not these pertain to the sciences.

Accordingly, in the second year, some students may lack certain fundamental subjects, making it difficult for them to follow their studies. These students will be offered tutorials to overcome such deficiencies by studying certain basic subjects.

 

DEGREE IN MATHEMATICS. SYLLABUS SUMMARY

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