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Master in Mathematics

Modality
In-person
Branch of knowledge
Science
School(s)
Faculty of Mathematics
Rúa Lope Gómez de Marzoa, s/n, 15782
Santiago de Compostela
881813219 (Conserxaría)
881813130 (Decanato)
zmatdeca [at] usc.gal
Campus
Santiago de Compostela
Coordinator
Fernando Adrian Fernandez Tojo

This master's aims for students to complete their training in different mathematical topics through interdepartmental and interdisciplinary subjects, obtaining an overview and providing a basis for vocational training courses in other areas in which mathematics has a growing presence.

Duration: 1 academic year
RUCT code: 4311779
ECTS Number: 60
Seats number: 20

Dean or center director:
MARIA ELENA VAZQUEZ CENDON

Title coordinator:
Fernando Adrian Fernandez Tojo

Use languages:
Spanish, Galician

Coordinator university:
University of Santiago de Compostela

Partaker universities:
University of Santiago de Compostela

Xunta de Galicia title implantation authorization date:
434/2009 do 3 de decembro (DOG 15/12/2009)

BOE publication date:
24/08/2010

Last accreditation date:
11/03/2015

Research in Mathematics in Galicia has experienced an important breakthrough and boost in recent years with implications not only at theoretical but also technological level. Research mathematicians actively collaborate in various fields related to basic research as well as its applications, and with this, mathematics went from being a basic tool in science and technology with a high theoretical component, to being an indispensable tool in any scientific and technological process.

The aim of this master’s is for students to complete their training in different mathematical topics, to have the opportunity to take interdepartmental and interdisciplinary subjects, to be in line with current mathematical aspects and to obtain a global view. The master’s will also provide a basis for vocational training courses in other areas where mathematics has a growing presence.

Créditos ECTS que debe realizar el alumno para obtener el título:
Materias obligatorias:21 ECTS
Materias optativas:21 ECTS
Trabajo fin de Máster:18 ECTS
Créditos totales:60 ECTS

No se contemplan

Categorical Algebra

  • P1141201
  •  
  • Elective Credits
  •  
  • First Semester
  •  
  • 3 Credits

Astrodynamics

  • P1141202
  •  
  • Elective Credits
  •  
  • First Semester
  •  
  • 6 Credits

Biomathematics

  • P1141203
  •  
  • Elective Credits
  •  
  • First Semester
  •  
  • 3 Credits

Symbolic Calculus

  • P1141204
  •  
  • Elective Credits
  •  
  • First Semester
  •  
  • 3 Credits

Equations of Continuum Mechanics

  • P1141205
  •  
  • Elective Credits
  •  
  • First Semester
  •  
  • 3 Credits

Riemann Geometry

  • P1141206
  •  
  • Elective Credits
  •  
  • First Semester
  •  
  • 3 Credits

Dynamical Systems

  • P1141207
  •  
  • Elective Credits
  •  
  • Second Semester
  •  
  • 3 Credits

Cohomology of Varieties

  • P1141208
  •  
  • Elective Credits
  •  
  • Second Semester
  •  
  • 3 Credits

Partial Differential Equations

  • P1141209
  •  
  • Elective Credits
  •  
  • Second Semester
  •  
  • 3 Credits

Algebraic Geometry

  • P1141210
  •  
  • Elective Credits
  •  
  • Second Semester
  •  
  • 3 Credits

Mathematical Methods of Physics

  • P1141211
  •  
  • Elective Credits
  •  
  • Second Semester
  •  
  • 3 Credits

Probability and Stochastic Processes

  • P1141212
  •  
  • Elective Credits
  •  
  • Second Semester
  •  
  • 3 Credits

Graph Theory

  • P1141213
  •  
  • Elective Credits
  •  
  • Second Semester
  •  
  • 3 Credits

Master Dissertation

  • P1141106
  •  
  • Compulsory Credits
  •  
  • End of Degree Projects and End of Master's Degree Projects
  •  
  • 18 Credits

This master’s aims for students to complete their training in different mathematical topics through interdepartmental and interdisciplinary subjects, obtaining an overview and providing a basis for vocational training courses in other areas in which mathematics has a growing presence.

No se contempla

Créditos ECTS que debe realizar el alumno para obtener el título:
Materias obligatorias:21 ECTS
Materias optativas:21 ECTS
Trabajo fin de Máster:18 ECTS
Créditos totales:60 ECTS

Durante los primeros días de clase, y con objeto de mantener abierta de forma dinámica una vía de comunicación permanente con los alumnos, la Comisión Académica nombrará un tutor para cada uno de los alumnos, que no tendrá que ser necesariamente su futuro director de tesis, y cuyas funciones principales serán la de atender a su tutorando, derivando las cuestiones que este le plantee a los cauces adecuados, y la de hacer un seguimiento que permita localizar posibles dificultades académicas con el adelanto suficiente para ser corregidas.

Access

Para acceder aos ensinos oficiais de Máster será necesario estar en posesión de:
A.1. Un título universitario oficial español.
A.2. Un título expedido por unha institución de educación superior pertencente a outro Estado integrante do Espazo Europeo de Educación Superior que faculte no mesmo para o acceso a ensinos de Máster.
A.3. Un título pertencente a un sistema educativo alleo ao Espazo Europeo de Educación, previa comprobación pola Universidade de que o citado título acredita un nivel de formación equivalente aos correspondentes títulos universitarios oficiais españois e faculta no país expedidor do título para o acceso a ensinos de posgrao.
A.4. Un título superior das Ensinanzas Artísticas Superiores do sistema educativo español.

Admission

Modalidad: Matrícula directa

Titulaciones de acceso:

-Todas las titulaciones de la rama de Ciencias, de la rama de Ciencias de la Salud, de la rama de Ingeniería y Arquitctura y las titulaciones de Economía y de Administración y Dirección de Empresas.

Información actualizada en cada convocatoria anual de matrícula.

Modalidad: Matrícula directa

Titulaciones de acceso:

-Todas las titulaciones de la rama de Ciencias, de la rama de Ciencias de la Salud, de la rama de Ingeniería y Arquitctura y las titulaciones de Economía y de Administración y Dirección de Empresas.

Información actualizada en cada convocatoria anual de matrícula.

1. Acquisition of high-level mathematical tools for diverse applications covering the expectations of graduates in mathematics and other basic sciences.
2. Be familiar with the wide panorama of current mathematics, both in its lines of research and in the methodologies, resources and problems it tackles in various fields.
3. Qualify for the analysis, approach and resolution of problems in new or little known environments, within broader contexts.
4. Prepare for decision making based on abstract considerations, to organize, plan and solve complex questions.

a. Capacitar para el estudio y la investigación en teorías matemáticas en desarrollo.
b. Aplicar las herramientas de la matemática en diversos campos de la ciencia, la tecnología y las ciencias sociales.
c. Desarrollar las habilidades necesarias para la transmisión de la matemática, oral y escrita, tanto en lo que respeta a la corrección formal, como en cuanto a la eficacia comunicativa, destacando el uso de las TIC apropiadas.
d Utilizar bibliografía y herramientas de búsqueda de recursos bibliográficos generales y específicos de Matemáticas, incluyendo el acceso por Internet.
y Gestionar de forma excelente el tiempo de trabajo y organizar los recursos disponibles, estableciendo prioridades, caminos alternativos e identificando errores lógicos en la toma de decisiones.
f Potenciar la capacidad para el trabajo en entornos cooperativos y pluridisciplinarias.

Mobility

La movilidad de los/as estudiantes está regulada a través del “Reglamento de intercambios interuniversitarios”. A través de la Oficina de Relaciones Exteriores se gestionan programas de intercambio tanto nacionales (SICUE), como europeos (ERASMUS) y extracomunitarios (intercambios con países de América Latina o países de habla inglesa): Portal Internacional

Internships

No se contemplan

Para iniciar el Trabajo de Fin de Máster será necesario superar todas las materias obligatorias del primer cuatrimestre. Cada propuesta de Trabajo Fin de Máster podría incluir indicaciones sobre materias optativas relacionadas que sería aconsejable cursar por parte del alumno. En el momento de la presentación del trabajo el alumno deberá haber superado todos los demás créditos necesarios para el título. El Trabajo Fin de Máster podrá ser presentado, con carácter general, en el segundo cuatrimestre, y de forma excepcional en el primero por alumnos matriculados a tiempo parcial, con matrícula de continuación de estudios, o con materias validadas.

The teaching staff is composed of lecturers belonging to the University’s departments, with proven teaching and research experience. A high percentage of the teaching staff has proven experience and good knowledge of the businesses and the labour market awaiting the future graduates. Indeed, in recent years the teaching staff has intensified the mathematical research linked to the Galician productive fabric through research agreements and contracts.

Faculty
Fernando Alcalde Cuesta
Leovigildo Alonso Tarrio
Jesús Antonio Álvarez López
Manuel Andrade Baliño
Alberto Cabada Fernandez
Maria Encina Calvo Iglesias
Daniel Cao Labora
Thomas Dent
Jose Carlos Diaz Ramos
Jose Angel Docobo Durantez
Miguel Dominguez Vazquez
Jose Daniel Edelstein Glaubach
Pedro Faraldo Roca
Fernando Adrian Fernandez Tojo
Rebeca Garcia Fandiño
Antonio Garcia Rodicio
Antonio M. Gómez Tato
Manuel Maria Gonzalez Alemany
Ana Jeremías López
Manuel Eulogio Ladra Gonzalez
Lucia Lopez Somoza
Jorge Losada Rodriguez
Javier Mas Sole
Trinidad Mendez Morales
Carlos Montero Orille
Juan José Nieto Roig
Maria Victoria Otero Espinar
Angel Piñeiro Guillen
Jorge Rodríguez López
Rosana Rodríguez López
Modesto Ramon Salgado Seco
Victor Sanmartin Lopez
Rosa Mª Trinchet Soria
Luis Miguel Varela Cabo
María Elena Vázquez Abal

Indicator

2017-2018

2018-2019

2019-2020

2020-2021

2021-2022

2022-2023

Offer

IN01
Offered places

Number of places offered for each academic year.

Scale info: Whole number

25,0

25,0

20,0

20,0

20,0

20,0

Enrolment

IN02
Enrollment

Number of students enrolled in an academic year without counting students from incoming mobility programs.

Scale info: Whole number

7,0

6,0

6,0

7,0

10,0

16,0

IN03
Access enrollment

Number of students enrolling in a study plan for the first time. This includes students who transfer their transcripts, access by partial validation of foreign studies or who adapt from plans in extinction.

Scale info: Whole number

7,0

6,0

6,0

7,0

9,0

15,0

IN04
New enrollment by pre-registration

Number of students who enroll in the first year of a study plan for the first time, that is, not counting students who access through partial validation of foreign studies, transfers or adaptations from plans in extinction.

Scale info: Whole number

7,0

6,0

6,0

7,0

9,0

15,0

IN05
Variation in new enrollment by pre-registration

Relative variation rate of new admission enrollment by pre-registration.

Scale info: Percentage with two decimal places.

-36,36

-14,29

0,0

16,67

28,57

-

Admittance profile

IN06
Average access grade by pre-registration

Average entrance grade for pre-registration of students starting studies. Determines the entry profile.

Scale info: Rational number with two decimal places. The range goes from 0 to the maximum value that can be obtained in each academic year for pre-registration (some historical values ​​have been 10.00 points, 12.00 points or 14.00 points).

8,5933

-

8,2551

8,6988

7,194

7,4592

IN08
Percentage of foreign students over total enrolled

Percentage of foreign students over enrolled students, excluding students enrolled in incoming mobility programs.

Scale info: Percentage with two decimal places

0,0

0,0

16,67

0,0

0,0

0,0

IN09
Percentage of national students from outside Galicia over total enrolled

Percentage of national students from outside Galicia on enrolled students, without counting students enrolled in incoming mobility programs.

Scale info: Percentage with two decimal places

0,0

0,0

0,0

14,29

10,0

12,5

IN13
Percentage of enrolled students who are USC graduates

Number of students enrolled in the master's program who graduated from USC.

Scale info: Percentage with two decimal places

-

-

-

100,0

90,0

81,25

Adaptation to demand

IN12
Occupancy rate

Number of new students entering through pre-registration divided by the places offered.

Scale info: Percentage with two decimal places

28,0

24,0

30,0

35,0

45,0

75,0

Indicator

2017-2018

2018-2019

2019-2020

2020-2021

2021-2022

2022-2023

External mobility

IN18
Percentage of students received by USC from mobility programs over total enrolled

Number of students received at USC in that degree from other universities (mobility programs) divided by the number of students enrolled in the degree.

Scale info: Percentage with two decimal places

0,0

0,0

0,0

0,0

0,0

0,0

Indicator

2017-2018

2018-2019

2019-2020

2020-2021

2021-2022

2022-2023

IN22
Percentage of graduates in an academic year who completed internships in companies or institutions during their studies

Percentage relationship between graduates of a degree in an academic year who have carried out internships in companies and institutions throughout their studies, out of the total number of students graduating in that degree and in that same academic year.

Scale info: Percentage with two decimal places

0,0

0,0

0,0

0,0

0,0

0,0

Indicator

2017-2018

2018-2019

2019-2020

2020-2021

2021-2022

2022-2023

Drop-out

IN41
Dropout rate under RD 1393/2007

Percentage relationship between students in a new admission cohort who should have obtained their degree in the previous academic year and who did not enroll in either that academic year or the previous one.

Scale info: Percentage with two decimal places

9,09

0,0

20,0

0,0

14,29

0,0

Assessment

IN36
Evaluation rate

Percentage relationship between the total number of ordinary credits for which the students applied and the total number of ordinary credits enrolled.

Scale info: Percentage with two decimal places

100,0

94,69

100,0

87,14

95,7

87,12

Average duration of studies

IN38
Average duration of studies

Average duration (in years) in which students take to complete the credits corresponding to the curriculum.

Scale info: Rational number with two decimal places

1,0

1,0

1,0

1,0

1,1111

1,0909

Efficiency of graduates

IN53
Efficiency rate (graduates' performance)

Percentage ratio between the total number of credits that a student passed during the degree in which he graduated and the total number of credits in which he enrolled.

Scale info: Percentage with two decimal places

100,0

100,0

100,0

100,0

96,77

95,63

Students per group

IN32
Average number of students per interactive teaching group

Relationship between the number of enrolled students and the number of interactive teaching groups.

Scale info: Rational number with two decimal places

5,1481

3,8462

4,7391

4,6842

6,4444

10,3889

IN55
Average number of students enrolled in mandatory and basic training courses per theoretical group (lectures)

Relationship between the number of students enrolled in compulsory basic education subjects and the number of theory groups in those subjects.

Scale info: Rational number with two decimal places

-

5,6

6,0

7,0

9,0

14,4

IN56
Average number of students enrolled in elective courses per theoretical group (lectures)

Relationship between the number of students enrolled in optional subjects and the number of theory groups in those subjects.

Scale info: Rational number with two decimal places

-

3,0

4,2

3,6154

5,1667

8,3333

Success

IN35
Success rate

Percentage ratio between the total number of ordinary credits that students have passed and the total number of ordinary credits for which they have applied.

Scale info: Percentage with two decimal places

100,0

100,0

100,0

100,0

98,88

100,0

IN50
Success rate of graduates

Percentage relationship between the total number of credits that a student passed throughout the degree from which he/she graduated and the total number of credits that he/she applied for.

Scale info: Percentage with two decimal places

100,0

100,0

100,0

100,0

100,0

99,1

Graduation

IN37
Graduation rate

Percentage ratio between students who completed their studies within the time provided for in the study plan or in an additional academic year and their entry cohort. It shows information on the degree of effectiveness of the students and the institution in relation to their academic activity.

Scale info: Percentage with two decimal places

90,91

100,0

80,0

100,0

85,71

100,0

Performance

IN34
Performance rate

Percentage relationship between the total number of ordinary credits that students passed and the total number of ordinary credits in which they enrolled.

Scale info: Percentage with two decimal places

100,0

94,69

100,0

87,14

94,62

87,12

Satisfaction

IN23
Graduates' satisfaction with the public information available

Average rating of the graduate satisfaction survey with available public information.

Scale info: Minimum 0.00, maximum 5.00

-

2,35

-

-

-

-

IN33
Graduates' satisfaction with services

Average rating of the questions relating to satisfaction with the services of the graduate survey.

Scale info: Minimum 0.00, maximum 5.00

-

3,9167

-

-

-

-

IN42
General satisfaction of graduates with the degree program

Average rating of questions regarding satisfaction with the degree in the graduate survey.

Scale info: Minimum 0.00, maximum 5.00

-

2,7614

-

3,26

3,55

-

IN46
Students' satisfaction with the teaching received

Average rating of the student satisfaction survey with the teaching received.

Scale info: Minimum 0.00, maximum 5.00

3,94

4,29

3,56

4,57

4,41

3,76

IN47
Teachers' satisfaction with the teaching provided

Average rating of the teacher satisfaction survey with the teaching provided.

Scale info: Minimum 0.00, maximum 5.00

4,2414

4,5259

4,4167

4,384

4,4032

4,2929

IN48
Response rate to the satisfaction survey

Percentage of response to the satisfaction survey by students.

Scale info: Percentage with two decimal places

42,8571

42,8571

28,5714

44,4444

55,5556

12,5

Indicator

2017-2018

2018-2019

2019-2020

2020-2021

2021-2022

2022-2023

IN24
Percentage of Teaching and Research Staff (PDI) with six-year research periods

Percentage relationship between the PDI with six years and the total PDI with teaching in the degree and which can have six years

Scale info: Percentage with two decimal places

95,0

95,0

85,71

95,0

90,48

95,65

IN25
Percentage of PDI with a PhD over total PDI

Percentage ratio between the doctoral PDI and the total PDI with teaching in the title.

Scale info: Percentage with two decimal places

100,0

95,65

88,24

95,45

100,0

92,31

IN26
Percentage of civil servant PDI over total PDI

Percentage relationship between the official PDI and the total PDI with teaching in the degree.

Scale info: Percentage with two decimal places

90,0

78,26

70,59

77,27

81,82

84,62

The contents of this page were updated on 01.16.2024.