The Master’s degree course in Mathematics is organized into **four curricula**:

- Advanced Mathematics
- Mathematics and Statistics for Life and Social Sciences
- Cryptography
- Teaching and Scientific Communication

Each curricula has different tracks. Every year the Didactic offer shows the subject of each track.

## Curriculum Advanced Mathematics

Course | Credits (ECTS) |
---|---|

Mathematical Logic |
6 |

Coding Theory and Applications |
6 |

Computational Algebra |
6 |

Advanced Geometry |
9 |

Algebraic Geometry I |
6 |

Advanced Analysis |
9 |

Partial Differential Equations |
6 |

Geometric Analysis |
9 |

Course | Credits (ECTS) |
---|---|

Stochastic Processes |
9 |

Mathematical Physics – Relativity and Quantum Theories |
9 |

Mathematical Physics – Differential Geometric Methods |
9 |

Numerical Methods for PDE |
6 |

Course | Credits (ECTS) |
---|---|

Affini courses |
36 |

Free choice courses |
12 |

Course | Credits (ECTS) |
---|---|

Language skills |
3 |

Final exam |
30 |

## Curriculum Cryptography

Course | Credits (ECTS) |
---|---|

Computational Algebra |
6 |

Coding Theory and Applications |
6 |

Algebraic Cryptography Modulo Cryptography Modulo Finite Fields and Symmetric Cryptography |
12 |

Insegnamenti in MAT/06 e MAT/08 |
15 |

Course | Crediti (CFU) |
---|---|

Insegnamenti affini |
36 |

Insegnamenti a libera scelta |
12 |

Course | Credits (ECTS) |
---|---|

Language skills |
3 |

Final exam |
30 |

## Curriculum Mathematics and Statistics for Life and Social Sciences

Course | Credits (ECTS) |
---|---|

Fourier Analysis |
6 |

Mathematical Biology |
9 |

Advanced Analysis |
9 |

Geometry and Topology for Data Analysis |
6 |

Partial Differential Equations |
6 |

Course | Credits (ECTS) |
---|---|

Stochastic Processes |
9 |

Numerical Methods for PDE |
6 |

Scientific Computing |
9 |

Mathematical Aspects of Bioelectromagnetism and Imaging |
6 |

Stochastic Differential Equations |
6 |

Statistics of Stochastic Processes |
6 |

Course | Credits (ECTS) |
---|---|

Advanced Topics in Biomathematics |
6 |

Statistical Models |
6 |

Data Analysis and Exploration |
6 |

Network Modeling and Simulation |
6 |

Laboratory of Biological Data Mining |
6 |

Machine Learning |
6 |

Theoretical Biomechanics |
9 |

Computational Haemodynamics |
9 |

Physiological Flow and Transport in Porous Tissues |
6 |

Bio-medical Imaging |
6 |

Course | Credits (ECTS) |
---|---|

"Affini" courses |
24 |

Free choice courses |
16 |

Course | Credits (ECTS) |
---|---|

Language skills |
3 |

Final exam |
30 |

## Curriculum Teaching and Scientific Communication

Typ | Course | Credits |
---|---|---|

Compulsory |
Mathematical models for the Physical, Natural and Social Sciences |
6 |

At least 18 credits from the following courses |
Foundations of Geometry |
6 |

Foundations of Analysis |
6 | |

Elementary Mathematics from a higher Viewpoint |
6 | |

Laboratory of Didactics of Mathematics |
6 | |

Experimental Mathematics Laboratory at School Level |
6 | |

Ap to 12 credits to be chosen |
If you have not achieved 36 credits with the courses listed above, you can choose up to 12 credits among the courses of academic disciplines MAT/01 and MAT/05 from other curricula. |
12 |

Course | Credits (ECTS) |
---|---|

Experimental Physics Laboratory at High School Level I |
6 |

Experimental Physics Laboratory at High School Level II |
6 |

Modern Physics |
12 |

Courses | Credits (ECTS) |
---|---|

"Affini" courses |
18 |

Free choice courses |
15 |

## Curriculum Teaching and Scientific Communication

Course | Credits (ECTS) |
---|---|

Foundations of Geometry |
6 |

Foundations of Analysis |
6 |

Elementary Mathematics from a higher Viewpoint |
6 |

Laboratory of Didactics of Mathematics |
6 |

Experimental Mathematics Laboratory at School Level |
6 |

Mathematical Models for the Physical, Natural and Social Sciences |
6 |

Course | Credits (ECTS) |
---|---|

Experimental Physics Laboratory at High School Level I |
6 |

Experimental Physics Laboratory at High School Level II |
6 |

Modern Physics |
12 |

Course |
Credits (ECTS) |
---|---|

"Affini" courses |
18 |

Free choice courses |
15 |

Credits (ECTS) |
Credits (ECTS) |
---|---|

Language skills |
3 |

Final exam |
30 |