The inter-university master's in Industrial Mathematics provides training aimed at building solutions for industrial problems, with emphasis on Numerical Modelling and Simulation, highly demanded technologies. It relies on the collaboration of over 60 companies that provide real cases in order for students to carry out the final project.
Master in Industrial Mathematics
Duration:
2 academic years
RUCT code: 4314422
ECTS Number: 90
Seats number: 20
Dean or center director:
MARIA ELENA VAZQUEZ CENDON
Title coordinator:
Maria Elena Vazquez Cendon
elena.vazquez.cendon [at] usc.es
Use languages:
Spanish, Galician
Coordinator university:
University of Santiago de Compostela
Partaker universities:
University of Santiago de Compostela
Technical University of Madrid
Carlos III University of Madrid
University of A Coruña
University of Vigo
Xunta de Galicia title implantation authorization date:
Orde do 05/12/2013 (DOG 20/12/2013)
BOE publication date:
08/12/2014
Last accreditation date:
26/01/2022
This Master's in Industrial Mathematics is coordinated by the University of Santiago de Compostela (USC), with the universities of A Coruña (UDC), Vigo (UVigo), Carlos III of Madrid (UC3M) and the Polytechnic of Madrid (UPM). It aims to provide solid training to enable students fast access to the industrial environment and to be in a position to pursue a career with increasing responsibilities.
In this sense, the scientific and technological interest of the M2i is based on three pillars:
1. Improve analytic skills and knowledge of students who conform future professional and research teams.
2. Provide specific skills relating to the design, construction and management of specific software, at least in one of the industrial sectors.
3. Introduce students to the research and development issues related to the subjects that conform this program.
Duration:
2 academic years
RUCT code: 4314422
ECTS Number: 90
Seats number: 20
Dean or center director:
MARIA ELENA VAZQUEZ CENDON
Title coordinator:
Maria Elena Vazquez Cendon
elena.vazquez.cendon [at] usc.es
Use languages:
Spanish, Galician
Coordinator university:
University of Santiago de Compostela
Partaker universities:
University of Santiago de Compostela
Technical University of Madrid
Carlos III University of Madrid
University of A Coruña
University of Vigo
Xunta de Galicia title implantation authorization date:
Orde do 05/12/2013 (DOG 20/12/2013)
BOE publication date:
08/12/2014
Last accreditation date:
26/01/2022
This Master's in Industrial Mathematics is coordinated by the University of Santiago de Compostela (USC), with the universities of A Coruña (UDC), Vigo (UVigo), Carlos III of Madrid (UC3M) and the Polytechnic of Madrid (UPM). It aims to provide solid training to enable students fast access to the industrial environment and to be in a position to pursue a career with increasing responsibilities.
In this sense, the scientific and technological interest of the M2i is based on three pillars:
1. Improve analytic skills and knowledge of students who conform future professional and research teams.
2. Provide specific skills relating to the design, construction and management of specific software, at least in one of the industrial sectors.
3. Introduce students to the research and development issues related to the subjects that conform this program.
Condiciones de terminación:
Obligatorias: 24
Optativas: 36
Trabajo fin de máster: 30
Total: 90
The program contemplates the following specialties within the offer. In order to complete the studies the student must finish at least one of the following specialties:
Especialidad en Simulación Numérica
Especialidad en Modelización Matemática
Numerical methods and programming
- P4151101
- Compulsory Credits
- First Semester
- 6 Credits
Ordinary differential equations / Dynamical systems
- P4151102
- Compulsory Credits
- First Semester
- 6 Credits
Partial differential equations
- P4151103
- Compulsory Credits
- First Semester
- 6 Credits
Numerical methods for partial differential equations
- P4151104
- Compulsory Credits
- First Semester
- 6 Credits
Fluid Mechanics
- P4151201
- Elective Credits
- Second Semester
- 6 Credits
Solid Mechanics
- P4151202
- Elective Credits
- Second Semester
- 6 Credits
Electromagnetism and optics
- P4151203
- Elective Credits
- Second Semester
- 6 Credits
Quantum mechanics and solid state physics
- P4151204
- Elective Credits
- 6 Credits
Acoustics
- P4151205
- Elective Credits
- Second Semester
- 6 Credits
Mathematical modeling in the environment
- P4151206
- Elective Credits
- Second Semester
- 6 Credits
Mathematical modeling in finance
- P4151207
- Elective Credits
- Second Semester
- 6 Credits
Workshop in mathematical modelling in science and industry I
- P4151208
- Elective Credits
- 6 Credits
Electromagnetism
- P4151247
- Elective Credits
- Second Semester
- 6 Credits
Master's Dissertation
- P4151105
- Compulsory Credits
- End of Degree Projects and End of Master's Degree Projects
- 30 Credits
Perturbation Methods
- P4151209
- Elective Credits
- Second Semester
- 6 Credits
Combustion
- P4151210
- Elective Credits
- Second Semester
- 6 Credits
Heat and Mass Transfer
- P4151211
- Elective Credits
- 6 Credits
Turbulence
- P4151212
- Elective Credits
- Second Semester
- 6 Credits
Mathematical modeling in thermal control
- P4151213
- Elective Credits
- 6 Credits
Electronic transport in micro and nano structures.
- P4151214
- Elective Credits
- 6 Credits
Mathematical modelling and solid mechanics
- P4151215
- Elective Credits
- 6 Credits
Workshop in mathematical modelling in science and industry II
- P4151216
- Elective Credits
- 6 Credits
Fluidthermal MEMS and Power MEMS
- P4151243
- Elective Credits
- 6 Credits
Electromagnetism
- P4151244
- Elective Credits
- Second Semester
- 6 Credits
Modelling in Biomedicine
- P4151245
- Elective Credits
- Second Semester
- 6 Credits
Processed modelling techniques
- P4151249
- Elective Credits
- Second Semester
- 6 Credits
Optimization and control
- P4151217
- Elective Credits
- First Semester
- 6 Credits
Statistical methods
- P4151218
- Elective Credits
- 6 Credits
Variational analysis of partial differential equations
- P4151219
- Elective Credits
- Second Semester
- 3 Credits
Stability of physical systems
- P4151220
- Elective Credits
- First Semester
- 6 Credits
Hydrdynamical stability
- P4151221
- Elective Credits
- Second Semester
- 6 Credits
Inverse problems and iImage reconstruction
- P4151222
- Elective Credits
- Second Semester
- 6 Credits
Wavelet Processed in Engineering
- P4151246
- Elective Credits
- First Semester
- 3 Credits
Continuum mechanics
- P4151223
- Elective Credits
- First Semester
- 6 Credits
Professional software in finance
- P4151224
- Elective Credits
- Second Semester
- 6 Credits
Professional software in fluid mechanics
- P4151225
- Elective Credits
- Second Semester
- 6 Credits
Professional software in solid mechanics
- P4151226
- Elective Credits
- Second Semester
- 6 Credits
Professional software in electromagnetism and optics
- P4151227
- Elective Credits
- 6 Credits
Professional software in acoustics
- P4151228
- Elective Credits
- Second Semester
- 6 Credits
Professional software in environmental issues
- P4151229
- Elective Credits
- Second Semester
- 6 Credits
Computer-aided design (CAD)
- P4151230
- Elective Credits
- First Semester
- 6 Credits
Professional Software in Electromagnetism
- P4151248
- Elective Credits
- Second Semester
- 6 Credits
Stochastic numerical methods
- P4151231
- Elective Credits
- First Semester
- 6 Credits
Advaced scientific calculus with MATLAB
- P4151232
- Elective Credits
- First Semester
- 6 Credits
Seminar in numerical methods
- P4151233
- Elective Credits
- 6 Credits
Advanced finite elements
- P4151234
- Elective Credits
- Second Semester
- 3 Credits
Advanced finite volumes
- P4151235
- Elective Credits
- Second Semester
- 3 Credits
Boundary element methods
- P4151236
- Elective Credits
- Second Semester
- 3 Credits
Numerical methods for large systems of equations
- P4151237
- Elective Credits
- First Semester
- 3 Credits
Programming in C++
- P4151238
- Elective Credits
- Second Semester
- 3 Credits
Parallel computing
- P4151239
- Elective Credits
- First Semester
- 3 Credits
Computer nets and distributed computing
- P4151240
- Elective Credits
- Second Semester
- 3 Credits
Computer arquitectures and operative systems
- P4151241
- Elective Credits
- First Semester
- 3 Credits
Sofware to scientific computing
- P4151242
- Elective Credits
- 6 Credits
The inter-university master's in Industrial Mathematics provides training aimed at building solutions for industrial problems, with emphasis on Numerical Modelling and Simulation, highly demanded technologies. It relies on the collaboration of over 60 companies that provide real cases in order for students to carry out the final project.
Titulaciones recogidas en el apartado de admisión
Condiciones de terminación:
Obligatorias: 24
Optativas: 36
Trabajo fin de máster: 30
Total: 90
Se establecerá un sistema de tutorización personalizada de los estudiantes. La Comisión Académica del Máster asignará los tutores académicos a los estudiantes.
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: Con límite de plazas y criterios generales
TITULACIONES DE ACCESO POR ORDEN DE PREFERENCIA
1º Licenciados o Graduados en Matemáticas, Física e Ingeniería.
2º Resto de titulaciones de la rama de Ingeniería y Arquitectura y de la rama de Ciencias.
3º Licenciados o Graduados en Economía y Administración de Empresas
Información actualizada en cada convocatoria de matrícula
Modalidad: Con límite de plazas y criterios generales
TITULACIONES DE ACCESO POR ORDEN DE PREFERENCIA
1º Licenciados o Graduados en Matemáticas, Física e Ingeniería.
2º Resto de titulaciones de la rama de Ingeniería y Arquitectura y de la rama de Ciencias.
3º Licenciados o Graduados en Economía y Administración de Empresas
Información actualizada en cada convocatoria de matrícula
1. Have knowledge that provide a basis or opportunity for originality in developing and / or applying ideas, often within a research context, knowing how to translate industrial needs in terms of R & D in the field of mathematics Industrial.
2. Be able to apply the acquired knowledge and abilities to solve problems in new or unfamiliar environments within broader contexts, including the ability to integrate multidisciplinary R & D in the business environment.
3. Being able to integrate knowledge in order to state opinions using information that even incomplete or limited, include reflecting on social and ethical responsibilities linked to the application of their knowledge.
4. To have the ability to communicate the findings to specialist and non-specialist audiences in a clear and unambiguous way.
5. To have the appropriate learning skills to enable them to continue studying in a way that will be largely self-directed or autonomous, and also to be able to successfully undertake doctoral studies.
1. Alcanzar un conocimiento básico en un área de Ingeniería/Ciencias Aplicadas, como punto de partida para un adecuado modelado matemático, tanto en contextos bien establecidos como en entornos nuevos o poco conocidos dentro de contextos más amplios y multidisciplinares.
2. Modelar ingredientes específicos y realizar las simplificaciones adecuadas en el modelo que faciliten su tratamiento numérico, manteniendo el grado de precisión, de acuerdo con requisitos previamente establecidos.
3. Determinar si un modelo de un proceso está bien planteado matemáticamente y bien formulado desde el punto de vista físico.
4. Ser capaz de seleccionar un conjunto de técnicas numéricas, lenguajes y herramientas informáticas, adecuadas para resolver un modelo matemático.
5. Ser capaz de validar e interpretar los resultados obtenidos, comparando con visualizaciones, medidas experimentales y/o requisitos funcionales del correspondiente sistema físico/de ingeniería.
6. Ser capaz de extraer, empleando diferentes técnicas analíticas, información tanto cualitativa como cuantitativa de los modelos.
7. Saber modelar elementos y sistemas complejos o en campos poco establecidos, que conduzcan a problemas bien planteados/formulados.
8. Conocer, saber seleccionar y saber manejar las herramientas de software profesional (tanto comercial como libre) más adecuadas para la simulación de procesos en el sector industrial y empresarial.
9. Saber adaptar, modificar e implementar herramientas de software de simulación numérica
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
Dentro de la materia Trabajo Fin de Máster existe una actividad formativa opcional que son las Prácticas en empresas
El TFM consistirá en :
a. Establecer estrategias para formular un problema industrial en términos de matemática industrial
b. Identificar métodos de resolución, implementarlos y diseñar experimentos para su validación
c. Posicionar la Matemática Industrial dentro de la actividad empresarial.
d. Saber trabajar en equipo en la resolución de problemas industriales
e. Exponer por escrito y oralmente los resultados del trabajo ante audiencias especializadas como ante los potenciales usuarios.
El tema del Trabajo Fin de Máster será elegido entre las propuestas presentadas por las empresas colaboradoras del Máster (que serán objeto además de sesiones específicas de modelización matemática, tal y como se han descrito anteriormente) y las ofertas presentadas por instructores del programa y avaladas por la Comisión Académica del Máster.
En el marco del desarrollo del Trabajo Fin de Máster (al margen del trabajo personal del alumno tutorizado por un profesor del Máster) el alumno deberá participar en algunas de las siguientes actividades:
(a) Seminarios y sesiones de modelización matemática de problemas industriales. En particular, al margen de las sesiones organizadas en el marco del propio máster, se valorará la participación en las semanas de modelización Modelling Weeks (MW) internacionales anualmente organizadas por el ECMI.
(b) Seminarios y sesiones de metodología de proyectos, relativas a proyectos tanto en el marco general de la matemática industrial como en dominios específicos (como, por ejemplo, proyectos de desarrollo de software)
c) Prácticas en empresas
The teaching staff consists of applied mathematics lecturers with extensive experience in the field of modelling and numerical simulation. In addition, guest lecturers of recognised prestige in the scientific and/or technical field will also be present.
|
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 |
20,0 |
20,0 |
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 |
29,0 |
29,0 |
30,0 |
33,0 |
29,0 |
27,0 |
|
|
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 |
14,0 |
13,0 |
15,0 |
16,0 |
12,0 |
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 |
14,0 |
12,0 |
15,0 |
16,0 |
12,0 |
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. |
7,69 |
-14,29 |
36,36 |
6,67 |
-25,0 |
- |
|
|
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). |
6,9162 |
6,861 |
6,9825 |
7,0142 |
6,8282 |
7,3809 |
|
|
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 |
3,45 |
3,45 |
10,0 |
6,06 |
0,0 |
3,7 |
|
|
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 |
17,24 |
13,79 |
13,33 |
12,12 |
10,34 |
11,11 |
|
|
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 |
- |
- |
- |
72,73 |
72,41 |
77,78 |
|
|
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 |
70,0 |
60,0 |
75,0 |
80,0 |
60,0 |
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 |
3,03 |
0,0 |
7,41 |
|
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 |
10,0 |
|
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 |
0,0 |
0,0 |
0,0 |
0,0 |
0,0 |
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 |
93,93 |
88,36 |
94,22 |
96,55 |
93,93 |
94,2 |
|
|
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 |
2,1538 |
2,0 |
2,0909 |
2,125 |
2,0769 |
2,1 |
|
|
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 |
91,67 |
97,89 |
93,31 |
95,74 |
95,63 |
90,15 |
|
|
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 |
6,0 |
4,6667 |
5,4118 |
5,1765 |
4,375 |
7,3333 |
|
|
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 |
- |
13,0 |
17,0 |
14,0 |
11,5 |
15,5 |
|
|
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 |
- |
3,3846 |
3,8667 |
4,0 |
3,3571 |
5,7 |
|
|
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 |
99,08 |
96,9 |
99,77 |
98,74 |
98,97 |
97,63 |
|
|
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 |
91,67 |
97,89 |
93,31 |
99,4 |
98,5 |
95,57 |
|
|
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 |
95,0 |
91,67 |
92,86 |
100,0 |
100,0 |
92,86 |
|
|
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 |
93,06 |
85,62 |
94,0 |
95,33 |
92,96 |
91,96 |
|
|
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 |
5,0 |
3,375 |
- |
- |
- |
- |
|
|
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 |
5,0 |
3,7692 |
- |
- |
- |
- |
|
|
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 |
5,0 |
4,0545 |
- |
3,26 |
3,55 |
2,58 |
|
|
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 |
4,07 |
4,49 |
4,4 |
4,59 |
4,56 |
5,0 |
|
|
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 |
4,178 |
3,9829 |
4,1339 |
4,3756 |
4,2878 |
4,4228 |
|
|
IN48 Response rate to the satisfaction survey Percentage of response to the satisfaction survey by students. Scale info: Percentage with two decimal places |
19,0476 |
12,1212 |
30,0 |
18,1818 |
8,6207 |
10,5263 |
|
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 |
100,0 |
100,0 |
100,0 |
100,0 |
100,0 |
100,0 |
|
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 |
91,3 |
90,91 |
95,24 |
90,91 |
89,47 |
|
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 |
80,0 |
73,91 |
72,73 |
80,95 |
72,73 |
78,95 |
Condiciones de terminación:
Obligatorias: 24
Optativas: 36
Trabajo fin de máster: 30
Total: 90
The program contemplates the following specialties within the offer. In order to complete the studies the student must finish at least one of the following specialties:
Especialidad en Simulación Numérica
Especialidad en Modelización Matemática
Numerical methods and programming
- P4151101
- Compulsory Credits
- First Semester
- 6 Credits
Ordinary differential equations / Dynamical systems
- P4151102
- Compulsory Credits
- First Semester
- 6 Credits
Partial differential equations
- P4151103
- Compulsory Credits
- First Semester
- 6 Credits
Numerical methods for partial differential equations
- P4151104
- Compulsory Credits
- First Semester
- 6 Credits
Fluid Mechanics
- P4151201
- Elective Credits
- Second Semester
- 6 Credits
Solid Mechanics
- P4151202
- Elective Credits
- Second Semester
- 6 Credits
Electromagnetism and optics
- P4151203
- Elective Credits
- Second Semester
- 6 Credits
Quantum mechanics and solid state physics
- P4151204
- Elective Credits
- 6 Credits
Acoustics
- P4151205
- Elective Credits
- Second Semester
- 6 Credits
Mathematical modeling in the environment
- P4151206
- Elective Credits
- Second Semester
- 6 Credits
Mathematical modeling in finance
- P4151207
- Elective Credits
- Second Semester
- 6 Credits
Workshop in mathematical modelling in science and industry I
- P4151208
- Elective Credits
- 6 Credits
Electromagnetism
- P4151247
- Elective Credits
- Second Semester
- 6 Credits
Master's Dissertation
- P4151105
- Compulsory Credits
- End of Degree Projects and End of Master's Degree Projects
- 30 Credits
Perturbation Methods
- P4151209
- Elective Credits
- Second Semester
- 6 Credits
Combustion
- P4151210
- Elective Credits
- Second Semester
- 6 Credits
Heat and Mass Transfer
- P4151211
- Elective Credits
- 6 Credits
Turbulence
- P4151212
- Elective Credits
- Second Semester
- 6 Credits
Mathematical modeling in thermal control
- P4151213
- Elective Credits
- 6 Credits
Electronic transport in micro and nano structures.
- P4151214
- Elective Credits
- 6 Credits
Mathematical modelling and solid mechanics
- P4151215
- Elective Credits
- 6 Credits
Workshop in mathematical modelling in science and industry II
- P4151216
- Elective Credits
- 6 Credits
Fluidthermal MEMS and Power MEMS
- P4151243
- Elective Credits
- 6 Credits
Electromagnetism
- P4151244
- Elective Credits
- Second Semester
- 6 Credits
Modelling in Biomedicine
- P4151245
- Elective Credits
- Second Semester
- 6 Credits
Processed modelling techniques
- P4151249
- Elective Credits
- Second Semester
- 6 Credits
Optimization and control
- P4151217
- Elective Credits
- First Semester
- 6 Credits
Statistical methods
- P4151218
- Elective Credits
- 6 Credits
Variational analysis of partial differential equations
- P4151219
- Elective Credits
- Second Semester
- 3 Credits
Stability of physical systems
- P4151220
- Elective Credits
- First Semester
- 6 Credits
Hydrdynamical stability
- P4151221
- Elective Credits
- Second Semester
- 6 Credits
Inverse problems and iImage reconstruction
- P4151222
- Elective Credits
- Second Semester
- 6 Credits
Wavelet Processed in Engineering
- P4151246
- Elective Credits
- First Semester
- 3 Credits
Continuum mechanics
- P4151223
- Elective Credits
- First Semester
- 6 Credits
Professional software in finance
- P4151224
- Elective Credits
- Second Semester
- 6 Credits
Professional software in fluid mechanics
- P4151225
- Elective Credits
- Second Semester
- 6 Credits
Professional software in solid mechanics
- P4151226
- Elective Credits
- Second Semester
- 6 Credits
Professional software in electromagnetism and optics
- P4151227
- Elective Credits
- 6 Credits
Professional software in acoustics
- P4151228
- Elective Credits
- Second Semester
- 6 Credits
Professional software in environmental issues
- P4151229
- Elective Credits
- Second Semester
- 6 Credits
Computer-aided design (CAD)
- P4151230
- Elective Credits
- First Semester
- 6 Credits
Professional Software in Electromagnetism
- P4151248
- Elective Credits
- Second Semester
- 6 Credits
Stochastic numerical methods
- P4151231
- Elective Credits
- First Semester
- 6 Credits
Advaced scientific calculus with MATLAB
- P4151232
- Elective Credits
- First Semester
- 6 Credits
Seminar in numerical methods
- P4151233
- Elective Credits
- 6 Credits
Advanced finite elements
- P4151234
- Elective Credits
- Second Semester
- 3 Credits
Advanced finite volumes
- P4151235
- Elective Credits
- Second Semester
- 3 Credits
Boundary element methods
- P4151236
- Elective Credits
- Second Semester
- 3 Credits
Numerical methods for large systems of equations
- P4151237
- Elective Credits
- First Semester
- 3 Credits
Programming in C++
- P4151238
- Elective Credits
- Second Semester
- 3 Credits
Parallel computing
- P4151239
- Elective Credits
- First Semester
- 3 Credits
Computer nets and distributed computing
- P4151240
- Elective Credits
- Second Semester
- 3 Credits
Computer arquitectures and operative systems
- P4151241
- Elective Credits
- First Semester
- 3 Credits
Sofware to scientific computing
- P4151242
- Elective Credits
- 6 Credits
The inter-university master's in Industrial Mathematics provides training aimed at building solutions for industrial problems, with emphasis on Numerical Modelling and Simulation, highly demanded technologies. It relies on the collaboration of over 60 companies that provide real cases in order for students to carry out the final project.
Titulaciones recogidas en el apartado de admisión
Condiciones de terminación:
Obligatorias: 24
Optativas: 36
Trabajo fin de máster: 30
Total: 90
Se establecerá un sistema de tutorización personalizada de los estudiantes. La Comisión Académica del Máster asignará los tutores académicos a los estudiantes.
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: Con límite de plazas y criterios generales
TITULACIONES DE ACCESO POR ORDEN DE PREFERENCIA
1º Licenciados o Graduados en Matemáticas, Física e Ingeniería.
2º Resto de titulaciones de la rama de Ingeniería y Arquitectura y de la rama de Ciencias.
3º Licenciados o Graduados en Economía y Administración de Empresas
Información actualizada en cada convocatoria de matrícula
Modalidad: Con límite de plazas y criterios generales
TITULACIONES DE ACCESO POR ORDEN DE PREFERENCIA
1º Licenciados o Graduados en Matemáticas, Física e Ingeniería.
2º Resto de titulaciones de la rama de Ingeniería y Arquitectura y de la rama de Ciencias.
3º Licenciados o Graduados en Economía y Administración de Empresas
Información actualizada en cada convocatoria de matrícula
1. Have knowledge that provide a basis or opportunity for originality in developing and / or applying ideas, often within a research context, knowing how to translate industrial needs in terms of R & D in the field of mathematics Industrial.
2. Be able to apply the acquired knowledge and abilities to solve problems in new or unfamiliar environments within broader contexts, including the ability to integrate multidisciplinary R & D in the business environment.
3. Being able to integrate knowledge in order to state opinions using information that even incomplete or limited, include reflecting on social and ethical responsibilities linked to the application of their knowledge.
4. To have the ability to communicate the findings to specialist and non-specialist audiences in a clear and unambiguous way.
5. To have the appropriate learning skills to enable them to continue studying in a way that will be largely self-directed or autonomous, and also to be able to successfully undertake doctoral studies.
1. Alcanzar un conocimiento básico en un área de Ingeniería/Ciencias Aplicadas, como punto de partida para un adecuado modelado matemático, tanto en contextos bien establecidos como en entornos nuevos o poco conocidos dentro de contextos más amplios y multidisciplinares.
2. Modelar ingredientes específicos y realizar las simplificaciones adecuadas en el modelo que faciliten su tratamiento numérico, manteniendo el grado de precisión, de acuerdo con requisitos previamente establecidos.
3. Determinar si un modelo de un proceso está bien planteado matemáticamente y bien formulado desde el punto de vista físico.
4. Ser capaz de seleccionar un conjunto de técnicas numéricas, lenguajes y herramientas informáticas, adecuadas para resolver un modelo matemático.
5. Ser capaz de validar e interpretar los resultados obtenidos, comparando con visualizaciones, medidas experimentales y/o requisitos funcionales del correspondiente sistema físico/de ingeniería.
6. Ser capaz de extraer, empleando diferentes técnicas analíticas, información tanto cualitativa como cuantitativa de los modelos.
7. Saber modelar elementos y sistemas complejos o en campos poco establecidos, que conduzcan a problemas bien planteados/formulados.
8. Conocer, saber seleccionar y saber manejar las herramientas de software profesional (tanto comercial como libre) más adecuadas para la simulación de procesos en el sector industrial y empresarial.
9. Saber adaptar, modificar e implementar herramientas de software de simulación numérica
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
Dentro de la materia Trabajo Fin de Máster existe una actividad formativa opcional que son las Prácticas en empresas
El TFM consistirá en :
a. Establecer estrategias para formular un problema industrial en términos de matemática industrial
b. Identificar métodos de resolución, implementarlos y diseñar experimentos para su validación
c. Posicionar la Matemática Industrial dentro de la actividad empresarial.
d. Saber trabajar en equipo en la resolución de problemas industriales
e. Exponer por escrito y oralmente los resultados del trabajo ante audiencias especializadas como ante los potenciales usuarios.
El tema del Trabajo Fin de Máster será elegido entre las propuestas presentadas por las empresas colaboradoras del Máster (que serán objeto además de sesiones específicas de modelización matemática, tal y como se han descrito anteriormente) y las ofertas presentadas por instructores del programa y avaladas por la Comisión Académica del Máster.
En el marco del desarrollo del Trabajo Fin de Máster (al margen del trabajo personal del alumno tutorizado por un profesor del Máster) el alumno deberá participar en algunas de las siguientes actividades:
(a) Seminarios y sesiones de modelización matemática de problemas industriales. En particular, al margen de las sesiones organizadas en el marco del propio máster, se valorará la participación en las semanas de modelización Modelling Weeks (MW) internacionales anualmente organizadas por el ECMI.
(b) Seminarios y sesiones de metodología de proyectos, relativas a proyectos tanto en el marco general de la matemática industrial como en dominios específicos (como, por ejemplo, proyectos de desarrollo de software)
c) Prácticas en empresas
The teaching staff consists of applied mathematics lecturers with extensive experience in the field of modelling and numerical simulation. In addition, guest lecturers of recognised prestige in the scientific and/or technical field will also be present.
|
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 |
20,0 |
20,0 |
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 |
29,0 |
29,0 |
30,0 |
33,0 |
29,0 |
27,0 |
|
|
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 |
14,0 |
13,0 |
15,0 |
16,0 |
12,0 |
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 |
14,0 |
12,0 |
15,0 |
16,0 |
12,0 |
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. |
7,69 |
-14,29 |
36,36 |
6,67 |
-25,0 |
- |
|
|
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). |
6,9162 |
6,861 |
6,9825 |
7,0142 |
6,8282 |
7,3809 |
|
|
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 |
3,45 |
3,45 |
10,0 |
6,06 |
0,0 |
3,7 |
|
|
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 |
17,24 |
13,79 |
13,33 |
12,12 |
10,34 |
11,11 |
|
|
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 |
- |
- |
- |
72,73 |
72,41 |
77,78 |
|
|
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 |
70,0 |
60,0 |
75,0 |
80,0 |
60,0 |
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 |
3,03 |
0,0 |
7,41 |
|
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 |
10,0 |
|
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 |
0,0 |
0,0 |
0,0 |
0,0 |
0,0 |
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 |
93,93 |
88,36 |
94,22 |
96,55 |
93,93 |
94,2 |
|
|
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 |
2,1538 |
2,0 |
2,0909 |
2,125 |
2,0769 |
2,1 |
|
|
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 |
91,67 |
97,89 |
93,31 |
95,74 |
95,63 |
90,15 |
|
|
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 |
6,0 |
4,6667 |
5,4118 |
5,1765 |
4,375 |
7,3333 |
|
|
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 |
- |
13,0 |
17,0 |
14,0 |
11,5 |
15,5 |
|
|
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 |
- |
3,3846 |
3,8667 |
4,0 |
3,3571 |
5,7 |
|
|
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 |
99,08 |
96,9 |
99,77 |
98,74 |
98,97 |
97,63 |
|
|
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 |
91,67 |
97,89 |
93,31 |
99,4 |
98,5 |
95,57 |
|
|
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 |
95,0 |
91,67 |
92,86 |
100,0 |
100,0 |
92,86 |
|
|
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 |
93,06 |
85,62 |
94,0 |
95,33 |
92,96 |
91,96 |
|
|
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 |
5,0 |
3,375 |
- |
- |
- |
- |
|
|
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 |
5,0 |
3,7692 |
- |
- |
- |
- |
|
|
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 |
5,0 |
4,0545 |
- |
3,26 |
3,55 |
2,58 |
|
|
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 |
4,07 |
4,49 |
4,4 |
4,59 |
4,56 |
5,0 |
|
|
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 |
4,178 |
3,9829 |
4,1339 |
4,3756 |
4,2878 |
4,4228 |
|
|
IN48 Response rate to the satisfaction survey Percentage of response to the satisfaction survey by students. Scale info: Percentage with two decimal places |
19,0476 |
12,1212 |
30,0 |
18,1818 |
8,6207 |
10,5263 |
|
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 |
100,0 |
100,0 |
100,0 |
100,0 |
100,0 |
100,0 |
|
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 |
91,3 |
90,91 |
95,24 |
90,91 |
89,47 |
|
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 |
80,0 |
73,91 |
72,73 |
80,95 |
72,73 |
78,95 |