School regulations and Program

These are the study plans for the students involved in the double title project:

Student from University of Ferrara

Student from UV/UPV:

 

Student from University of Ferrara

The student of the Università di Ferrara (UniFe) , admitted to the 1st year of the Master of Science in Mathematics and selected for the double degree, must attend the Master “Investigación Matemática” at Universitat de València (UV)- Universitat Politècnica de València (UPV), on the basis of this study plan :

EXAMSECTS

Seminario de geometría y topología

corresponds to Teoria dei numeri (6 CFU) or Teoria dei moduli (6 CFU)
3
  • Convexidad y optimización (3 ECTS) +
  • Métodos numéricos para las resoluciones de sistemas de ecuaciones (3 ECTS)
correspond to Metodi di approssimazione numerica (9 CFU)
6

Fundamentos de matemática avanzada

corresponds to a part of Fisica matematica (6 CFU)
6

Sistemas dinámicos discretos, caos y fractales

corresponds to a part of Fisica matematica (6 CFU)
6

Modelización matemática en la industria

corresponds to Meccanica dei fluidi (6 CFU)
6

Iniciación a la investigación matemática

corresponds to an exam freely chosen (6 CFU)
3
  • Herramientas metodológicas en la investigación matemática (3 ECTS) +
  • Fundamentos geométricos del diseño con ordenador (3 ECTS)
correspond to Laboratorio di didattica della matematica (6 CFU)
6
3 exams among:
  • Seminario de álgebra (3 ECTS)
  • Análisis matemático y aplicaciones (3 ECTS)
  • Seminario de análisis matemático (3 ECTS)
  • Métodos algébricos y sus aplicaciones

correspond to, respectively, Algebra non commutativa (6 CFU), Calcolo delle variazioni (6 CFU), Equazioni delle derivate parziali (6 CFU), Computer algebra (6 CFU)

9

Trabajo de fin de Máster (Final work)

corresponds to a part of Prova finale

10
TOTAL 60

 

At the end of the degree, the student achieves the Master degree in “Investigación Matemática” and returns to the Università di Ferrara to attend the 2nd year and earn the "Laurea Magistrale in Matematica" passing these exams:

EXAMSECTS

2 exams among:

  • Analisi funzionale
  • Algebra commutativa e geometria algebrica
  • Geometria algebrica (if Algebra commutativa e geometria algebrica has already been taken)
  • Storia delle matematiche elementari
18
  • Divulgazione e museologia matematica or
  • Complementi di geometria or
  • Projective geometry / Algebric geometry II
6

2 exams among:

  • Teoria dei moduli (if not yet recognised)
  • Teoria di Galois
  • Teoria dei numeri (if not yet recognised)
  • Funzioni di una variabile complessa
  • Laboratorio di software didattici / Matematiche complementari
  • Storia delle matematiche
  • Equazioni differenziali ordinarie
  • Matematiche elementari da un punto di vista superiore
  • Analisi numerica II
  • Calcolo stocastico e mercati finanziari
  • Complementi di algebra
12
Free choice
6
Other learning activites
6
Prova finale (second part) (Final work)
12
TOTAL 60

The final thesis of "Laurea Magistrale" (30 cfu) is agreed upon the three Universities. The student has to prepare part of the work (18 cfu - Trabajo de fin de Master) at UV/UPV, and the other part (12 cfu) at Ferrara, about the same or similar topic.

A specific Degree Board, composed by lecturers of UniFe, UV and UPV, is convened.

 

Student from UV/UPV

Students admitted to the project are enrolled at Máster in “Investigación Matemática” and have achieved the degree/grado in “Matemática” (UV). Also students from UPV, with a degree/ grado in "Ingeniería en Tecnologías Industriales" or others are admitted.

Students attend the 2nd year of Laurea Magistrale in “Matematica” with a shorter study plan.

The Bilateral Commission examines the applications and take a decision about ECTS recognition.

 

Students with a degree/grado in Mathematics (UV): all their exams are admitted to shorten the plan.

EXAMS UVECTSEXAMS UNIFE
Geometría diferencial clásica 12 Geometria algébrica (9 ECTS)
Modelización matemática 6 Meccanica dei continui (9 ECTS)
Ecuaciones algebraicas 6 Teoria di Galois (6 ECTS)/ Computer Algebra (6 ECTS)
Análisis matemático IV 9 Funzioni di una variabile complessa (6 ECTS)
Ecuaciones en derivadas parciales 6 Equazioni delle derivate parziali lineari (6 ECTS)/ Teoria della misura e integrazione (6 ECTS)
Estadística matemática 9 Statistica multivariata (6 ECTS)
Trabajo de fin de Grado 12 Prova finale (prima parte)
TOTAL 60

Students with this curricular qualification attend the 1st semester in Valencia, taking these exams:

I semester

EXAMECTS

Fundamentos de matemática avanzada.

corresponds to Analisi Funzionale (9 ECTS)
6

Modelización matemática en la industria.

corresponds to Meccanica dei fluidi (6 ECTS)
6

Herramientas metodológicas en la investigación matemática (3 ECTS) + Iniciación a la investigación matemática (3 ECTS).

correspond to Laboratorio di didattica della matemática (6 ECTS)
6
TOTAL 18

Before the beginning of the II semester, students go to Ferrara to attend these exams:

II semester

EXAMSECTS

Fisica matematica

corresponds to Sistemas dinámicos discretos, caos y fractales (3 ECTS)

+ Redes neuronales y algoritmos geneticos (3 ECTS)

6

1 exam among:

  • Approssimazione euclidea di dati (6 ECTS)
  • Numerical methods and models (if Métodos numéricos avanzados is not passed yet)
correspond to Convexidad y optimizacion (3 ECTS) + Metodos numericos para  la resolucion de sistemas de ecuaciones (3 ECTS)
6

1 exam among:

  • Algebra non commutativa
  • Calcolo delle variazioni / Equazioni alle derivate parziali
correspond respectively to Seminario de álgebra (3 ECTS), Análisis matemático y aplicaciones (3 ECTS), Seminario de análisis matemático (3 ECTS)
6

1 exam among:

  • Matematiche elementari da un punto di vista superiore
  • Laboratorio di software didattici / Matematiche complementari
  • Calcolo stocastico e mercati finanziari
correspond to Seminario de Matematica aplicada (3 ECTS) + Tratamiento de señales e imágenes digitales mediante wavelets (3 ECTS)
6

Other learning activities

(Italian Language Course at Centro Linguistico di Ateneo)

correspond to 2 elective exams, each for 3 ECTS
6
TOTAL 30

Another semester in Ferrara is necessary to complete the final project

Prova finale (second part) 18 cfu

corresponds to Trabajo de fin de Máster (18 ECTS)

 

added to the first part (12 ECTS) to complete the final thesis and achieve the title of "Laurea Magistrale".

The topic of the thesis is agreed upon UniFe and UV/UPV. A specific Degree Board, composed by lecturers from the three Universities, is convened. The thesis must respect UV regulation.

 

Students with a degree/grado in Industrial Engineering (UPV): some of their exams are approved to shorten the study plan.

EXAMS UPVECTSEXAMS UNIFE
Mecánica de Fluidos (4,5 ECTS) + Termodinámica (4,5 ECTS) 9 Meccanica dei continui (9 ECTS)
Matemáticas III 6 Equazioni alle derivate parziali lineari (6 ECTS)/ Teoria della misura e integrazione (6 ECTS)
Métodos matemáticos 6 Metodi di approssimazione numerica (9 ECTS)
Estadística 6 Statistica multivariata (6 ECTS)
Matemáticas II 6 Equazioni differenziali ordinarie (6ECTS)
Investigación Operativa (4,5 ECTS) + Informática (6 ECTS) 10,5 Metodi di ottimizzazione numerica (6 ECTS)
Trabajo de fin de Grado 12 Prova finale (prima parte)
TOTALE 55,5

Students with this curricular qualification attend the 1st semester in Valencia, taking these exams:

I semester

EXAMSECTS

Fundamentos de matemática avanzada.

corresponds to Analisi Funzionale (9 ECTS)
6

Modelización matemática en la industria.

corresponds to Meccanica dei fluidi (6 ECTS)
6

Herramientas metodológicas en la investigación matemática (3 ECTS) + Iniciación a la investigación matemática (3 ECTS).

correspond to Laboratorio di didattica della matemática (6 ECTS)
6
TOTAL 18

Before the beginning of the II semester, students go to Ferrara to attend these exams:

II semester

EXAMS
ECTS

Fisica matematica

corresponds to Sistemas dinámicos discretos, caos y fractales (3 ECTS)

+ Redes neuronales y algoritmos geneticos (3 ECTS)

6

Numerical methods and models.

corresponds to Convexidad y optimizacion (3 ECTS) + Metodos numericos para  la resolucion de sistemas de ecuaciones (3 ECTS)
6

1 exam among:

  • Analisi numerica II
  • Calcolo delle variazioni / Equazioni alle derivate parziali
correspond to Análisis matemático y aplicaciones (3 ECTS), Seminario de análisis matemático (3 ECTS)
6

1 exam among:

  • Matematiche elementari da un punto di vista superiore
  • Laboratorio di software didattici / Matematiche complementari
  • Calcolo stocastico e mercati finanziari
correspond to Seminario de Matematica aplicada (3 ECTS) + Tratamiento de señales e imágenes digitales mediante wavelets (3 ECTS)
6

Other learning activities

(Italian Language Course at Centro Linguistico di Ateneo)

correspond to 2 elective exams, each for 3 ECTS
6
TOTAL 30

Another semester in Ferrara is necessary to complete the final project

Prova finale (second part) 18 cfu

corresponds to Trabajo de fin de Máster (18 ECTS)

 

added to the first part (12 ECTS) to complete the final thesis and achieve the title of "Laurea Magistrale".

The topic of the thesis is agreed upon UniFe and UV/UPV. A specific Degree Board, composed by lecturers from the three Universities, is convened. The thesis must respect UPV regulation.

 

The program is subject to changes or additions due to annual adjustments in the training offer and in accord with the Bilateral Commission that will examine and evaluate each adjustment proposed in order to enhance the design of double title.