DEGREE IN MATHEMATICS (2017-18)

Código:
 C052

Créditos:
 240
 
Fecha de aprobación:
 22/03/2012

Título:
 Undergraduate 3-5 years (ECTS)
 
Precio:
 17,95
 1st-registration credits
 

RAMA

Sciences

PLAN

DEGREE IN MATHEMATICS

TIPO DE ENSEÑANZA

Face-to-face

CENTROS DONDE SE IMPARTE

Faculty of Science

ESTUDIO IMPARTIDO CONJUNTAMENTE CON

Solo se imparte en esta universidad

FECHAS DE EXAMEN

Acceda al listado de fechas de examen para esta titulación.

 

PLAN DE ESTUDIOS OFERTADO EN EL CURSO 2017-18

 

Leyenda: No ofertadaSin docencia
FIRST YEAR
SECOND YEAR
12 créditos
 
Curso
Título
Créditos
Subject
48 créditos
 
 
THIRD YEAR
60 créditos
 
Curso
Título
Créditos
Subject
 
FOURTH YEAR
24 créditos
 
Curso
Título
Créditos
Subject
4
END OF DEGREE WORK
6
 
4
COMPULSORY
6
 
4
COMPULSORY
6
 
4
COMPULSORY
6
 
 
36 créditos
 
 
 
 
Superado este bloque se obtiene
DEGREE IN MATHEMATICS

 


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.

 

 
 

 

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.  

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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.

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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.

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ACCESS ROUTES

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

1.     SPANISH BACCALAUREATE (LOMCE) UNIVERSITY ENTRANCE EXAM (PAU): Although students can access university by means of any Baccalaureate specialization, the recommended one is Sciences.

Admission scores for this degree can be improved by taking the specific modules of the University Entrance Exam (PAU) as indicated in the table below with their respective weightings.

TABLE 1

Mathematics

2.     PREVIOUS BACCALAUREATES WITH OR WITHOUT A PASS IN THE UNIVERSITY ENTRANCE EXAM (PAU): Students who have completed their Baccalaureate under previous education systems and have passed the PAU will be able to use the mark obtained in their application.

However, students can take specific exam modules during the voluntary PAU exam period in order to improve their admission score as shown in table 1. They can also sit for the obligatory PAU exams, in which case they will have to take all the exams scheduled during this period.

3.     VOCATIONAL EDUCATION: Vocational educational qualifications such as senior technician, senior technician of plastic arts and design, or senior technician in sports is the preferred professional area although access to this degree may be through any professional field.

Admission scores can be improved by taking the PAU exam in up to 4 of the modules in table 1.

4.     STUDENTS FROM EDUCATION SYSTEMS IN COUNTRIES OF THE EUROPEAN UNION OR OTHER STATES WITH WHICH SPAIN HAS AN INTERNATIONAL AGREEMENT: Accreditation is required and issued by Universidad Nacional de Educación a Distancia (UNED).

Students can sit for exams in subjects included in the Pruebas de Competencias Específicas (PCE), organised by the UNED, in order to improve their admission score up to 14 points as indicated in the weightings in Table 1.

5.     STUDENTS FROM FOREIGN EDUCATION SYSTEMS: Prior to applying for the validation of their foreign Baccalaureate, students may sit for up to 4 exams in subjects offered by the Pruebas de Competencias Específicas (PCE) organised by UNED (at least one subject from the core subjects).

The weightings indicated in table 1 will be applied to core and/or optional subjects.

6.     OTHER: University degrees and other similar qualifications. University entrance exam for students over 25 (preferential option: Sciences). Access on the basis of professional experience (applicants over 40 years of age). Access to applicants aged 45 years or more by means of an exam.

Weightings of the subjects of the specific phase of the Proof of Access to the University (PAU) in the previous years

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

2016-17

0.1
x
x


    x

               
x
   x
0.2    
     
   x                 x
     

 


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 PASS MARKS

 

YEARS

NUMBER

OF

PLACES

PASS MARKS

GENERAL

OVER 25

OVER 40

OVER  45

GRADUATES

SPORSTPEOPLE

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

---

---

2017-18

50

11,172

---

5,000

---

6,890

5,000

5,000

 

  • "Pass marks" indicated correspond to the results of the first adjudication of June.
  • The definitive marks 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

matematicas