[SM28] MATHEMATICS | University of Trieste

Course overwiew

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Duration

2 years

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Campus

Trieste

Language

English

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Credits (CFU/ECTS)

120

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Department

DEPARTMENT OF MATHEMATICS, INFORMATICS AND GEOSCIENCES

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Ministry Class

LM-40

Mathematics

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Admission

open access with preparation test

Description

The master's degree course in Mathematics offers a cultural preparation and high-level professional training in the field of Mathematics. Students acquire the ability to set up and solve complex problems, even in operational contexts, suitable for entry management jobs. The course also prepares for a teaching career in secondary schools. The language of the course is English, it involves instructors from the International School of Advanced Studies (SISSA) and the Abdus Salam International Center for Theoretical Physics (ICTP) and for a limited number of students a double degree agreement is available with the University of Ljubljana.

The course is divided into three curricula:

The Advanced Mathematics curriculum is aimed at students who intend to acquire a solid and in-depth knowledge in the various sectors of advanced mathematics, with particular attention to the theoretical aspects of mathematics.
The Computational Mathematics and Modelling curriculum is aimed at students interested in more applied aspects of mathematics, in particular in exploring how the integration of mathematics, computer science and statistics characterizes the modern approach to formalization (modelling) and resolution (computation) of complex problems in various applied areas, such as life sciences, natural sciences, economics, engineering.
The Mathematical Education curriculum is aimed at students interested to teaching in secondary schools and to communication of mathematics and science.

For information on the application and the required documents, please visit the dedicated section.

For more details on requirements, preparation verification, and admission procedures, visit the course's website.

Download Study Plans (ITA only)

STUDY PROGRAMME

Year of study: 1

Insegnamenti opzionali Gruppo 1 TAF B (30 CFU)

ADVANCED ALGEBRA
6 CFU - 48 hours - First semester

ADVANCED ANALYSIS - MOD. A
6 CFU - 48 hours - First semester

ADVANCED ANALYSIS - MOD. B
6 CFU - 48 hours - Second semester

ADVANCED GEOMETRY 1
6 CFU - 48 hours - First semester

ADVANCED GEOMETRY 2
6 CFU - 48 hours - First semester

FUNCTIONAL ANALYSIS
6 CFU - 48 hours - Second semester

Insegnamenti opzionali Gruppo 2 TAF B (between 6 and 18 CFU)

ADVANCED MATHEMATICAL PHYSICS 1 - MOD. A
6 CFU - 48 hours - First semester

ADVANCED MATHEMATICAL PHYSICS 1 - MOD. B
6 CFU - 48 hours - Second semester

Insegnamenti opzionali gruppo 3 TAF C (between 12 and 27 CFU)

ADVANCED GEOMETRY 3
9 CFU - 72 hours - Second semester

ADVANCED HISTORY OF MATHEMATICS
6 CFU - 48 hours - First semester

ADVANCED PROGRAMMING
6 CFU - 48 hours - First semester

ALGORITHMIC DESIGN
6 CFU - 48 hours - First semester

NUMERICAL ANALYSIS 2
6 CFU - 48 hours - First semester

BAYESIAN STATISTICS
6 CFU - 48 hours - Second semester

COMPUTATIONAL ALGEBRA
6 CFU - 48 hours - First semester

COMPUTATIONAL METHODS FOR TURBULENT FLUIDS
6 CFU - 48 hours - First semester

COMPUTATIONAL PHYSICS LABORATORY
6 CFU - 72 hours - First semester

CONTROL THEORY
9 CFU - 72 hours - Second semester

CREATIVE RESEARCH AND SCIENTIFIC COMMUNICATION
6 CFU - 48 hours - Second semester

DATA ANALYTICS
6 CFU - 48 hours - Second semester

DATA MANAGEMENT
6 CFU - 60 hours - Second semester

DATA-DRIVEN DIGITAL SYSTEMS
9 CFU - 72 hours - First semester

DIFFERENTIAL GEOMETRY 1
6 CFU - 48 hours - Second semester

FLUID DYNAMICS
6 CFU - 48 hours - Second semester

HIGH PERFORMANCE AND CLOUD COMPUTING
12 CFU - 96 hours - Full year

STATISTICAL INFERENCE
12 CFU - 96 hours - First semester

INTRODUCTION TO MACHINE LEARNING
6 CFU - 48 hours - First semester

MATHEMATICAL OPTIMISATION
6 CFU - 48 hours - Second semester

QUANTUM MECHANICS
9 CFU - 72 hours - First semester

STATISTICAL MODELS
6 CFU - 48 hours - First semester

NUMERICAL METHODS FOR ODES
6 CFU - 48 hours - First semester

PROBABILISTIC MACHINE LEARNING
6 CFU - 48 hours - Second semester

PROBABILITY AND MATHEMATICAL STATISTICS 2
6 CFU - 48 hours - First semester

ADVANCED AND PARALLEL PROGRAMMING
9 CFU - 72 hours - First semester

REINFORCEMENT LEARNING
6 CFU - 48 hours - Second semester

SOFTWARE DEVELOPMENT METHODS
6 CFU - 48 hours - First semester

STATISTICS (ADVANCED COURSE)
9 CFU - 60 hours - First semester

STATISTICAL METHODS
9 CFU - 72 hours - First semester

STOCHASTIC MODELLING AND SIMULATION
6 CFU - 48 hours - Second semester

TECHNOLOGY IN MATHEMATICS EDUCATION
6 CFU - 48 hours - First semester

FIELD THEORY I
6 CFU - 48 hours - First semester

TOPICS IN ADVANCED MATHEMATICAL PHYSICS 2
6 CFU - 48 hours - Second semester

Insegnamenti opzionali gruppo 4 TAF D

ADVANCED ALGEBRA
6 CFU - 48 hours - First semester

ADVANCED ANALYSIS - MOD. B
6 CFU - 48 hours - Second semester

ADVANCED GEOMETRY 1
6 CFU - 48 hours - First semester

ADVANCED GEOMETRY 2
6 CFU - 48 hours - First semester

ADVANCED GEOMETRY 3
9 CFU - 72 hours - Second semester

ADVANCED HISTORY OF MATHEMATICS
6 CFU - 48 hours - First semester

ADVANCED MATHEMATICAL PHYSICS 1 - MOD. A
6 CFU - 48 hours - First semester

ADVANCED MATHEMATICAL PHYSICS 1 - MOD. B
6 CFU - 48 hours - Second semester

ADVANCED PROGRAMMING
6 CFU - 48 hours - First semester

ALGORITHMIC DESIGN
6 CFU - 48 hours - First semester

NUMERICAL ANALYSIS 2
6 CFU - 48 hours - First semester

BAYESIAN STATISTICS
6 CFU - 48 hours - Second semester

BIOFLUID DYNAMICS
9 CFU - 72 hours - First semester

COMPUTATIONAL ALGEBRA
6 CFU - 48 hours - First semester

COMPUTATIONAL METHODS FOR TURBULENT FLUIDS
6 CFU - 48 hours - First semester

COMPUTATIONAL PHYSICS LABORATORY
6 CFU - 72 hours - First semester

CONTROL THEORY
9 CFU - 72 hours - Second semester

CREATIVE RESEARCH AND SCIENTIFIC COMMUNICATION
6 CFU - 48 hours - Second semester

DATA ANALYTICS
6 CFU - 48 hours - Second semester

DATA MANAGEMENT
6 CFU - 60 hours - Second semester

DATA-DRIVEN DIGITAL SYSTEMS
9 CFU - 72 hours - First semester

DIFFERENTIAL GEOMETRY 1
6 CFU - 48 hours - Second semester

FLUID DYNAMICS
6 CFU - 48 hours - Second semester

FUNCTIONAL ANALYSIS
6 CFU - 48 hours - Second semester

INTRODUCTION TO MACHINE LEARNING
6 CFU - 48 hours - First semester

MATHEMATICAL LEARNING: TESTING AND INTERVENING
6 CFU - 48 hours - First semester

MATHEMATICAL OPTIMISATION
6 CFU - 48 hours - Second semester

QUANTUM MECHANICS
9 CFU - 72 hours - First semester

STATISTICAL MODELS
6 CFU - 48 hours - First semester

NUMERICAL METHODS FOR ODES
6 CFU - 48 hours - First semester

PROBABILISTIC MACHINE LEARNING
6 CFU - 48 hours - Second semester

PROBABILITY AND MATHEMATICAL STATISTICS 2
6 CFU - 48 hours - First semester

ADVANCED AND PARALLEL PROGRAMMING
9 CFU - 72 hours - First semester

REINFORCEMENT LEARNING
6 CFU - 48 hours - Second semester

SOFTWARE DEVELOPMENT METHODS
6 CFU - 48 hours - First semester

STATISTICS (ADVANCED COURSE)
9 CFU - 60 hours - First semester

STATISTICAL LEARNING IN EPIDEMIOLOGY
6 CFU - 48 hours -

STATISTICAL METHODS
9 CFU - 72 hours - First semester

STOCHASTIC MODELLING AND SIMULATION
6 CFU - 48 hours - Second semester

TECHNOLOGY IN MATHEMATICS EDUCATION
6 CFU - 48 hours - First semester

FIELD THEORY I
6 CFU - 48 hours - First semester

TOPICS IN ADVANCED MATHEMATICAL PHYSICS 2
6 CFU - 48 hours - Second semester

Year of study: 2

Required

FINAL EXAMINATION
30 CFU - 0 hours -

INTERNSHIP
3 CFU - 75 hours -

Insegnamenti opzionali Gruppo 2 TAF B (between 6 and 18 CFU)

NUMERICAL METHODS FOR PDES
6 CFU - 48 hours -

TOPICS IN ADVANCED PROBABILITY
6 CFU - 48 hours -

Insegnamenti opzionali gruppo 3 TAF C (between 6 and 27 CFU)

ADVANCED PROGRAMMING
6 CFU - 48 hours -

ALGEBRAIC GEOMETRY
6 CFU - 48 hours -

ALGORITHMIC DESIGN
6 CFU - 48 hours -

APPLIED MATHEMATICS
6 CFU - 48 hours -

BAYESIAN STATISTICS
6 CFU - 48 hours -

COMPUTATIONAL METHODS FOR TURBULENT FLUIDS
6 CFU - 48 hours -

COMPUTATIONAL PHYSICS LABORATORY
6 CFU - 72 hours -

CONTROL THEORY
9 CFU - 72 hours -

DATA ANALYTICS
6 CFU - 48 hours -

DATA MANAGEMENT
6 CFU - 60 hours -

DATA-DRIVEN DIGITAL SYSTEMS
9 CFU - 72 hours -

DIFFERENTIAL EQUATIONS
6 CFU - 48 hours -

DIFFERENTIAL GEOMETRY 2
6 CFU - 48 hours -

FLUID DYNAMICS
6 CFU - 48 hours -

GLOBAL AND MULTIOBJECTIVE OPTIMIZATION
6 CFU - 48 hours -

HIGH PERFORMANCE AND CLOUD COMPUTING
12 CFU - 96 hours -

STATISTICAL INFERENCE
12 CFU - 96 hours -

INTRODUCTION TO MACHINE LEARNING
6 CFU - 48 hours -

MATHEMATICAL OPTIMISATION
6 CFU - 48 hours -

MATHEMATICS EDUCATION
6 CFU - 48 hours -

QUANTUM MECHANICS
9 CFU - 72 hours -

STATISTICAL MODELS
6 CFU - 48 hours -

PROBABILISTIC MACHINE LEARNING
6 CFU - 48 hours -

REINFORCEMENT LEARNING
6 CFU - 48 hours -

SOFTWARE DEVELOPMENT METHODS
6 CFU - 48 hours -

STATISTICS (ADVANCED COURSE)
9 CFU - 60 hours -

STATISTICAL METHODS
9 CFU - 72 hours -

STOCHASTIC MODELLING AND SIMULATION
6 CFU - 48 hours -

FIELD THEORY I
6 CFU - 48 hours -

TOPICS IN ADVANCED ALGEBRA
6 CFU - 48 hours -

TOPICS IN ADVANCED ANALYSIS 1
6 CFU - 48 hours -

TOPICS IN ADVANCED ANALYSIS 2
6 CFU - 48 hours -

TOPICS IN ADVANCED MATHEMATICAL PHYSICS 1
6 CFU - 48 hours -

Insegnamenti opzionali gruppo 4 TAF D

ADVANCED PROGRAMMING
6 CFU - 48 hours -

ALGEBRAIC GEOMETRY
6 CFU - 48 hours -

ALGORITHMIC DESIGN
6 CFU - 48 hours -

APPLIED MATHEMATICS
6 CFU - 48 hours -

BAYESIAN STATISTICS
6 CFU - 48 hours -

COMPUTATIONAL METHODS FOR TURBULENT FLUIDS
6 CFU - 48 hours -

COMPUTATIONAL PHYSICS LABORATORY
6 CFU - 72 hours -

CONTROL THEORY
9 CFU - 72 hours -

DATA ANALYTICS
6 CFU - 48 hours -

DATA MANAGEMENT
6 CFU - 60 hours -

DATA-DRIVEN DIGITAL SYSTEMS
9 CFU - 72 hours -

DIFFERENTIAL EQUATIONS
6 CFU - 48 hours -

DIFFERENTIAL GEOMETRY 2
6 CFU - 48 hours -

FLUID DYNAMICS
6 CFU - 48 hours -

GLOBAL AND MULTIOBJECTIVE OPTIMIZATION
6 CFU - 48 hours -

HIGH PERFORMANCE AND CLOUD COMPUTING
12 CFU - 96 hours -

STATISTICAL INFERENCE
12 CFU - 96 hours -

INTRODUCTION TO MACHINE LEARNING
6 CFU - 48 hours -

MATHEMATICAL OPTIMISATION
6 CFU - 48 hours -

MATHEMATICS EDUCATION
6 CFU - 48 hours -

QUANTUM MECHANICS
9 CFU - 72 hours -

STATISTICAL MODELS
6 CFU - 48 hours -

NUMERICAL METHODS FOR PDES
6 CFU - 48 hours -

PROBABILISTIC MACHINE LEARNING
6 CFU - 48 hours -

REINFORCEMENT LEARNING
6 CFU - 48 hours -

SOFTWARE DEVELOPMENT METHODS
6 CFU - 48 hours -

STATISTICS (ADVANCED COURSE)
9 CFU - 60 hours -

STATISTICAL METHODS
9 CFU - 72 hours -

STOCHASTIC MODELLING AND SIMULATION
6 CFU - 48 hours -

FIELD THEORY I
6 CFU - 48 hours -

TOPICS IN ADVANCED ALGEBRA
6 CFU - 48 hours -

TOPICS IN ADVANCED ANALYSIS 1
6 CFU - 48 hours -

TOPICS IN ADVANCED ANALYSIS 2
6 CFU - 48 hours -

TOPICS IN ADVANCED MATHEMATICAL PHYSICS 1
6 CFU - 48 hours -

TOPICS IN ADVANCED PROBABILITY
6 CFU - 48 hours -

Year of study: 1

Insegnamenti opzionali gruppo 1 TAF B (24 CFU)

ADVANCED ALGEBRA
6 CFU - 48 hours - First semester

ADVANCED ANALYSIS - MOD. A
6 CFU - 48 hours - First semester

ADVANCED ANALYSIS - MOD. B
6 CFU - 48 hours - Second semester

ADVANCED GEOMETRY 1
6 CFU - 48 hours - First semester

ADVANCED GEOMETRY 2
6 CFU - 48 hours - First semester

FUNCTIONAL ANALYSIS
6 CFU - 48 hours - Second semester

Insegnamenti opzionali Gruppo 2 TAF B (between 6 and 12 CFU)

ADVANCED MATHEMATICAL PHYSICS 1 - MOD. A
6 CFU - 48 hours - First semester

NUMERICAL METHODS FOR ODES
6 CFU - 48 hours - First semester

Insegnamenti opzionali gruppo 3 TAF C (between 6 and 30 CFU)

ADVANCED ALGORITHMS FOR SCIENTIFIC COMPUTING
6 CFU - 48 hours - First semester

ADVANCED GEOMETRY 3
9 CFU - 72 hours - Second semester

ADVANCED HISTORY OF MATHEMATICS
6 CFU - 48 hours - First semester

ADVANCED MATHEMATICAL PHYSICS 1 - MOD. B
6 CFU - 48 hours - Second semester

ADVANCED PROGRAMMING
6 CFU - 48 hours - First semester

ALGORITHMIC DESIGN
6 CFU - 48 hours - First semester

NUMERICAL ANALYSIS 2
6 CFU - 48 hours - First semester

BAYESIAN STATISTICS
6 CFU - 48 hours - Second semester

COMPUTATIONAL ALGEBRA
6 CFU - 48 hours - First semester

COMPUTATIONAL GENOMICS
6 CFU - 48 hours - First semester

COMPUTATIONAL METHODS FOR TURBULENT FLUIDS
6 CFU - 48 hours - First semester

COMPUTATIONAL PHYSICS LABORATORY
6 CFU - 72 hours - First semester

CONTROL THEORY
9 CFU - 72 hours - Second semester

CREATIVE RESEARCH AND SCIENTIFIC COMMUNICATION
6 CFU - 48 hours - Second semester

DATA ANALYTICS
6 CFU - 48 hours - Second semester

DATA MANAGEMENT
6 CFU - 60 hours - Second semester

DATA-DRIVEN DIGITAL SYSTEMS
9 CFU - 72 hours - First semester

DEEP LEARNING
6 CFU - 48 hours - Second semester

DIFFERENTIAL GEOMETRY 1
6 CFU - 48 hours - Second semester

MATHEMATICAL FINANCE
6 CFU - 45 hours - Second semester

FLUID DYNAMICS
6 CFU - 48 hours - Second semester

HIGH PERFORMANCE AND CLOUD COMPUTING
12 CFU - 96 hours - Full year

STATISTICAL INFERENCE
12 CFU - 96 hours - First semester

INTRODUCTION TO MACHINE LEARNING
6 CFU - 48 hours - First semester

ACTUARIAL MATHEMATICS FOR NON-LIFE INSURANCE
6 CFU - 45 hours - Second semester

ACTUARIAL MATHEMATICS FOR LIFE INSURANCE
9 CFU - 60 hours - First semester

FINANCIAL MATHEMATICS
9 CFU - 60 hours - First semester

QUANTUM MECHANICS
9 CFU - 72 hours - First semester

STATISTICAL MODELS
6 CFU - 48 hours - First semester

MODELLING AND CONTROL OF CYBER-PHYSICAL SYSTEMS I
6 CFU - 48 hours - Second semester

PROBABILISTIC MACHINE LEARNING
6 CFU - 48 hours - Second semester

PROBABILITY AND MATHEMATICAL STATISTICS 2
6 CFU - 48 hours - First semester

ADVANCED AND PARALLEL PROGRAMMING
9 CFU - 72 hours - First semester

REINFORCEMENT LEARNING
6 CFU - 48 hours - Second semester

SOFTWARE DEVELOPMENT METHODS
6 CFU - 48 hours - First semester

STATISTICS (ADVANCED COURSE)
9 CFU - 60 hours - First semester

COMPUTATIONAL STATISTICS AND MULTIVARIATE METHODS
9 CFU - 72 hours - Second semester

STOCHASTIC MODELLING AND SIMULATION
6 CFU - 48 hours - Second semester

TECHNOLOGY IN MATHEMATICS EDUCATION
6 CFU - 48 hours - First semester

FIELD THEORY I
6 CFU - 48 hours - First semester

TOPICS IN ADVANCED MATHEMATICAL PHYSICS 2
6 CFU - 48 hours - Second semester

Insegnamenti opzionali gruppo 4 TAF D

ADVANCED ALGEBRA
6 CFU - 48 hours - First semester

ADVANCED ALGORITHMS FOR SCIENTIFIC COMPUTING
6 CFU - 48 hours - First semester

ADVANCED ANALYSIS - MOD. A
6 CFU - 48 hours - First semester

ADVANCED ANALYSIS - MOD. B
6 CFU - 48 hours - Second semester

ADVANCED GEOMETRY 1
6 CFU - 48 hours - First semester

ADVANCED GEOMETRY 2
6 CFU - 48 hours - First semester

ADVANCED GEOMETRY 3
9 CFU - 72 hours - Second semester

ADVANCED HISTORY OF MATHEMATICS
6 CFU - 48 hours - First semester

ADVANCED MATHEMATICAL PHYSICS 1 - MOD. A
6 CFU - 48 hours - First semester

ADVANCED MATHEMATICAL PHYSICS 1 - MOD. B
6 CFU - 48 hours - Second semester

ADVANCED PROGRAMMING
6 CFU - 48 hours - First semester

ALGORITHMIC DESIGN
6 CFU - 48 hours - First semester

NUMERICAL ANALYSIS 2
6 CFU - 48 hours - First semester

BAYESIAN STATISTICS
6 CFU - 48 hours - Second semester

BIOFLUID DYNAMICS
9 CFU - 72 hours - First semester

COMPUTATIONAL ALGEBRA
6 CFU - 48 hours - First semester

COMPUTATIONAL CLIMATOLOGY
6 CFU - 48 hours -

COMPUTATIONAL GENOMICS
6 CFU - 48 hours - First semester

COMPUTATIONAL METHODS FOR TURBULENT FLUIDS
6 CFU - 48 hours - First semester

COMPUTATIONAL PHYSICS LABORATORY
6 CFU - 72 hours - First semester

COMPUTATIONAL SOLID MECHANICS
6 CFU - 48 hours -

CONTROL THEORY
9 CFU - 72 hours - Second semester

CREATIVE RESEARCH AND SCIENTIFIC COMMUNICATION
6 CFU - 48 hours - Second semester

DATA ANALYTICS
6 CFU - 48 hours - Second semester

DATA MANAGEMENT
6 CFU - 60 hours - Second semester

DATA-DRIVEN DIGITAL SYSTEMS
9 CFU - 72 hours - First semester

DEEP LEARNING
6 CFU - 48 hours - Second semester

DIFFERENTIAL GEOMETRY 1
6 CFU - 48 hours - Second semester

ENVIRONMENTAL FLUID MECHANICS
9 CFU - 72 hours -

MATHEMATICAL FINANCE
6 CFU - 45 hours - Second semester

FLUID DYNAMICS
6 CFU - 48 hours - Second semester

FUNCTIONAL ANALYSIS
6 CFU - 48 hours - Second semester

INTRODUCTION TO MACHINE LEARNING
6 CFU - 48 hours - First semester

INTRODUCTION TO QUANTUM INFORMATION THEORY
6 CFU - 48 hours -

INTRODUCTION TO QUANTUM MECHANICS AND QUANTUM COMPUTING
6 CFU - 48 hours -

ACTUARIAL MATHEMATICS FOR NON-LIFE INSURANCE
6 CFU - 45 hours - Second semester

ACTUARIAL MATHEMATICS FOR LIFE INSURANCE
9 CFU - 60 hours - First semester

FINANCIAL MATHEMATICS
9 CFU - 60 hours - First semester

MATHEMATICAL LEARNING: TESTING AND INTERVENING
6 CFU - 48 hours - First semester

QUANTUM MECHANICS
9 CFU - 72 hours - First semester

STATISTICAL MODELS
6 CFU - 48 hours - First semester

MODELLING AND CONTROL OF CYBER-PHYSICAL SYSTEMS I
6 CFU - 48 hours - Second semester

MODELLING AND CONTROL OF CYBER-PHYSICAL SYSTEMS II
6 CFU - 48 hours -

NUMERICAL METHODS FOR ODES
6 CFU - 48 hours - First semester

PHYSICS AND MODELLING OF TURBULENCE
6 CFU - 48 hours -

PROBABILISTIC MACHINE LEARNING
6 CFU - 48 hours - Second semester

PROBABILITY AND MATHEMATICAL STATISTICS 2
6 CFU - 48 hours - First semester

ADVANCED AND PARALLEL PROGRAMMING
9 CFU - 72 hours - First semester

QUANTUM ALGORITHMS
6 CFU - 48 hours -

QUANTUM MACHINE LEARNING
6 CFU - 48 hours -

REINFORCEMENT LEARNING
6 CFU - 48 hours - Second semester

SOFTWARE DEVELOPMENT METHODS
6 CFU - 48 hours - First semester

STATISTICS (ADVANCED COURSE)
9 CFU - 60 hours - First semester

COMPUTATIONAL STATISTICS AND MULTIVARIATE METHODS
9 CFU - 72 hours - Second semester

STATISTICAL LEARNING IN EPIDEMIOLOGY
6 CFU - 48 hours -

STOCHASTIC MODELLING AND SIMULATION
6 CFU - 48 hours - Second semester

TECHNOLOGY IN MATHEMATICS EDUCATION
6 CFU - 48 hours - First semester

FIELD THEORY I
6 CFU - 48 hours - First semester

TOPICS IN ADVANCED MATHEMATICAL PHYSICS 2
6 CFU - 48 hours - Second semester

Year of study: 2

Required

FINAL EXAMINATION
30 CFU - 0 hours -

INTERNSHIP
6 CFU - 150 hours -

Insegnamenti opzionali Gruppo 2 TAF B (between 6 and 12 CFU)

MATHEMATICAL OPTIMISATION
6 CFU - 48 hours -

TOPICS IN ADVANCED PROBABILITY
6 CFU - 48 hours -

Insegnamenti opzionali gruppo 3 TAF C (between 6 and 30 CFU)

ADVANCED ALGORITHMS FOR SCIENTIFIC COMPUTING
6 CFU - 48 hours -

ADVANCED PROGRAMMING
6 CFU - 48 hours -

ALGEBRAIC GEOMETRY
6 CFU - 48 hours -

ALGORITHMIC DESIGN
6 CFU - 48 hours -

APPLIED MATHEMATICS
6 CFU - 48 hours -

BAYESIAN STATISTICS
6 CFU - 48 hours -

COMPUTATIONAL GENOMICS
6 CFU - 48 hours -

COMPUTATIONAL METHODS FOR TURBULENT FLUIDS
6 CFU - 48 hours -

COMPUTATIONAL PHYSICS LABORATORY
6 CFU - 72 hours -

CONTROL THEORY
9 CFU - 72 hours -

DATA ANALYTICS
6 CFU - 48 hours -

DATA MANAGEMENT
6 CFU - 60 hours -

DATA-DRIVEN DIGITAL SYSTEMS
9 CFU - 72 hours -

DEEP LEARNING
6 CFU - 48 hours -

DIFFERENTIAL EQUATIONS
6 CFU - 48 hours -

DIFFERENTIAL GEOMETRY 2
6 CFU - 48 hours -

MATHEMATICAL FINANCE
6 CFU - 45 hours -

FLUID DYNAMICS
6 CFU - 48 hours -

GLOBAL AND MULTIOBJECTIVE OPTIMIZATION
6 CFU - 48 hours -

HIGH PERFORMANCE AND CLOUD COMPUTING
12 CFU - 96 hours -

STATISTICAL INFERENCE
12 CFU - 96 hours -

INTRODUCTION TO MACHINE LEARNING
6 CFU - 48 hours -

ACTUARIAL MATHEMATICS FOR NON-LIFE INSURANCE
6 CFU - 45 hours -

ACTUARIAL MATHEMATICS FOR LIFE INSURANCE
9 CFU - 60 hours -

FINANCIAL MATHEMATICS
9 CFU - 60 hours -

MATHEMATICS EDUCATION
6 CFU - 48 hours -

QUANTUM MECHANICS
9 CFU - 72 hours -

STATISTICAL MODELS
6 CFU - 48 hours -

MODELLING AND CONTROL OF CYBER-PHYSICAL SYSTEMS I
6 CFU - 48 hours -

NUMERICAL METHODS FOR PDES
6 CFU - 48 hours -

PROBABILISTIC MACHINE LEARNING
6 CFU - 48 hours -

REINFORCEMENT LEARNING
6 CFU - 48 hours -

SOFTWARE DEVELOPMENT METHODS
6 CFU - 48 hours -

STATISTICS (ADVANCED COURSE)
9 CFU - 60 hours -

COMPUTATIONAL STATISTICS AND MULTIVARIATE METHODS
9 CFU - 72 hours -

STOCHASTIC MODELLING AND SIMULATION
6 CFU - 48 hours -

FIELD THEORY I
6 CFU - 48 hours -

TOPICS IN ADVANCED ALGEBRA
6 CFU - 48 hours -

TOPICS IN ADVANCED ANALYSIS 1
6 CFU - 48 hours -

TOPICS IN ADVANCED ANALYSIS 2
6 CFU - 48 hours -

TOPICS IN ADVANCED MATHEMATICAL PHYSICS 1
6 CFU - 48 hours -

Insegnamenti opzionali gruppo 4 TAF D

ADVANCED ALGORITHMS FOR SCIENTIFIC COMPUTING
6 CFU - 48 hours -

ADVANCED PROGRAMMING
6 CFU - 48 hours -

ALGEBRAIC GEOMETRY
6 CFU - 48 hours -

ALGORITHMIC DESIGN
6 CFU - 48 hours -

APPLIED MATHEMATICS
6 CFU - 48 hours -

BAYESIAN STATISTICS
6 CFU - 48 hours -

COMPUTATIONAL GENOMICS
6 CFU - 48 hours -

COMPUTATIONAL METHODS FOR TURBULENT FLUIDS
6 CFU - 48 hours -

COMPUTATIONAL PHYSICS LABORATORY
6 CFU - 72 hours -

CONTROL THEORY
9 CFU - 72 hours -

DATA ANALYTICS
6 CFU - 48 hours -

DATA MANAGEMENT
6 CFU - 60 hours -

DATA-DRIVEN DIGITAL SYSTEMS
9 CFU - 72 hours -

DEEP LEARNING
6 CFU - 48 hours -

DIFFERENTIAL EQUATIONS
6 CFU - 48 hours -

DIFFERENTIAL GEOMETRY 2
6 CFU - 48 hours -

MATHEMATICAL FINANCE
6 CFU - 45 hours -

FLUID DYNAMICS
6 CFU - 48 hours -

GLOBAL AND MULTIOBJECTIVE OPTIMIZATION
6 CFU - 48 hours -

HIGH PERFORMANCE AND CLOUD COMPUTING
12 CFU - 96 hours -

STATISTICAL INFERENCE
12 CFU - 96 hours -

INTRODUCTION TO MACHINE LEARNING
6 CFU - 48 hours -

ACTUARIAL MATHEMATICS FOR NON-LIFE INSURANCE
6 CFU - 45 hours -

ACTUARIAL MATHEMATICS FOR LIFE INSURANCE
9 CFU - 60 hours -

FINANCIAL MATHEMATICS
9 CFU - 60 hours -

MATHEMATICAL OPTIMISATION
6 CFU - 48 hours -

MATHEMATICS EDUCATION
6 CFU - 48 hours -

QUANTUM MECHANICS
9 CFU - 72 hours -

STATISTICAL MODELS
6 CFU - 48 hours -

MODELLING AND CONTROL OF CYBER-PHYSICAL SYSTEMS I
6 CFU - 48 hours -

NUMERICAL METHODS FOR PDES
6 CFU - 48 hours -

PROBABILISTIC MACHINE LEARNING
6 CFU - 48 hours -

REINFORCEMENT LEARNING
6 CFU - 48 hours -

SOFTWARE DEVELOPMENT METHODS
6 CFU - 48 hours -

STATISTICS (ADVANCED COURSE)
9 CFU - 60 hours -

COMPUTATIONAL STATISTICS AND MULTIVARIATE METHODS
9 CFU - 72 hours -

STOCHASTIC MODELLING AND SIMULATION
6 CFU - 48 hours -

FIELD THEORY I
6 CFU - 48 hours -

TOPICS IN ADVANCED ALGEBRA
6 CFU - 48 hours -

TOPICS IN ADVANCED ANALYSIS 1
6 CFU - 48 hours -

TOPICS IN ADVANCED ANALYSIS 2
6 CFU - 48 hours -

TOPICS IN ADVANCED MATHEMATICAL PHYSICS 1
6 CFU - 48 hours -

TOPICS IN ADVANCED PROBABILITY
6 CFU - 48 hours -

Year of study: 1

Required

PHYSICS EDUCATION LABORATORY
6 CFU - 48 hours - First semester

Insegnamenti opzionali gruppo 1 TAF B (24 CFU)

ADVANCED ALGEBRA
6 CFU - 48 hours - First semester

ADVANCED ANALYSIS - MOD. A
6 CFU - 48 hours - First semester

ADVANCED ANALYSIS - MOD. B
6 CFU - 48 hours - Second semester

ADVANCED GEOMETRY 1
6 CFU - 48 hours - First semester

TECHNOLOGY IN MATHEMATICS EDUCATION
6 CFU - 48 hours - First semester

Insegnamenti opzionali Gruppo 2 TAF B (between 6 and 12 CFU)

ADVANCED MATHEMATICAL PHYSICS 1 - MOD. A
6 CFU - 48 hours - First semester

ADVANCED MATHEMATICAL PHYSICS 1 - MOD. B
6 CFU - 48 hours - Second semester

Insegnamenti opzionali Gruppo 3 TAF C (between 6 and 24 CFU)

ADVANCED GEOMETRY 2
6 CFU - 48 hours - First semester

ADVANCED GEOMETRY 3
9 CFU - 72 hours - Second semester

ADVANCED HISTORY OF MATHEMATICS
6 CFU - 48 hours - First semester

ADVANCED PROGRAMMING
6 CFU - 48 hours - First semester

ALGORITHMIC DESIGN
6 CFU - 48 hours - First semester

NUMERICAL ANALYSIS 2
6 CFU - 48 hours - First semester

COMPUTATIONAL ALGEBRA
6 CFU - 48 hours - First semester

COMPUTATIONAL METHODS FOR TURBULENT FLUIDS
6 CFU - 48 hours - First semester

COMPUTATIONAL PHYSICS LABORATORY
6 CFU - 72 hours - First semester

CONTROL THEORY
9 CFU - 72 hours - Second semester

CREATIVE RESEARCH AND SCIENTIFIC COMMUNICATION
6 CFU - 48 hours - Second semester

DATA ANALYTICS
6 CFU - 48 hours - Second semester

DATA MANAGEMENT
6 CFU - 60 hours - Second semester

DATA-DRIVEN DIGITAL SYSTEMS
9 CFU - 72 hours - First semester

DIFFERENTIAL GEOMETRY 1
6 CFU - 48 hours - Second semester

FLUID DYNAMICS
6 CFU - 48 hours - Second semester

FUNCTIONAL ANALYSIS
6 CFU - 48 hours - Second semester

STATISTICAL INFERENCE
12 CFU - 96 hours - First semester

INTRODUCTION TO MACHINE LEARNING
6 CFU - 48 hours - First semester

MATHEMATICAL LEARNING: TESTING AND INTERVENING
6 CFU - 48 hours - First semester

MATHEMATICAL OPTIMISATION
6 CFU - 48 hours - Second semester

QUANTUM MECHANICS
9 CFU - 72 hours - First semester

STATISTICAL MODELS
6 CFU - 48 hours - First semester

NUMERICAL METHODS FOR ODES
6 CFU - 48 hours - First semester

PROBABILISTIC MACHINE LEARNING
6 CFU - 48 hours - Second semester

PROBABILITY AND MATHEMATICAL STATISTICS 2
6 CFU - 48 hours - First semester

REINFORCEMENT LEARNING
6 CFU - 48 hours - Second semester

SOFTWARE DEVELOPMENT METHODS
6 CFU - 48 hours - First semester

STATISTICS (ADVANCED COURSE)
9 CFU - 60 hours - First semester

STOCHASTIC MODELLING AND SIMULATION
6 CFU - 48 hours - Second semester

FIELD THEORY I
6 CFU - 48 hours - First semester

TOPICS IN ADVANCED MATHEMATICAL PHYSICS 2
6 CFU - 48 hours - Second semester

Insegnamenti opzionali Gruppo 4 TAF D

ADVANCED ALGEBRA
6 CFU - 48 hours - First semester

ADVANCED ANALYSIS - MOD. A
6 CFU - 48 hours - First semester

ADVANCED ANALYSIS - MOD. B
6 CFU - 48 hours - Second semester

ADVANCED GEOMETRY 1
6 CFU - 48 hours - First semester

ADVANCED GEOMETRY 2
6 CFU - 48 hours - First semester

ADVANCED GEOMETRY 3
9 CFU - 72 hours - Second semester

ADVANCED HISTORY OF MATHEMATICS
6 CFU - 48 hours - First semester

ADVANCED MATHEMATICAL PHYSICS 1 - MOD. A
6 CFU - 48 hours - First semester

ADVANCED MATHEMATICAL PHYSICS 1 - MOD. B
6 CFU - 48 hours - Second semester

ADVANCED PROGRAMMING
6 CFU - 48 hours - First semester

ALGORITHMIC DESIGN
6 CFU - 48 hours - First semester

NUMERICAL ANALYSIS 2
6 CFU - 48 hours - First semester

COMPUTATIONAL ALGEBRA
6 CFU - 48 hours - First semester

COMPUTATIONAL METHODS FOR TURBULENT FLUIDS
6 CFU - 48 hours - First semester

COMPUTATIONAL PHYSICS LABORATORY
6 CFU - 72 hours - First semester

CONTROL THEORY
9 CFU - 72 hours - Second semester

CREATIVE RESEARCH AND SCIENTIFIC COMMUNICATION
6 CFU - 48 hours - Second semester

DATA ANALYTICS
6 CFU - 48 hours - Second semester

DATA MANAGEMENT
6 CFU - 60 hours - Second semester

DATA-DRIVEN DIGITAL SYSTEMS
9 CFU - 72 hours - First semester

DIFFERENTIAL GEOMETRY 1
6 CFU - 48 hours - Second semester

FLUID DYNAMICS
6 CFU - 48 hours - Second semester

FUNCTIONAL ANALYSIS
6 CFU - 48 hours - Second semester

INTRODUCTION TO MACHINE LEARNING
6 CFU - 48 hours - First semester

MATHEMATICAL LEARNING: TESTING AND INTERVENING
6 CFU - 48 hours - First semester

MATHEMATICAL OPTIMISATION
6 CFU - 48 hours - Second semester

QUANTUM MECHANICS
9 CFU - 72 hours - First semester

STATISTICAL MODELS
6 CFU - 48 hours - First semester

NUMERICAL METHODS FOR ODES
6 CFU - 48 hours - First semester

PEDAGOGY
6 CFU - 48 hours -

PROBABILISTIC MACHINE LEARNING
6 CFU - 48 hours - Second semester

PROBABILITY AND MATHEMATICAL STATISTICS 2
6 CFU - 48 hours - First semester

REINFORCEMENT LEARNING
6 CFU - 48 hours - Second semester

SOFTWARE DEVELOPMENT METHODS
6 CFU - 48 hours - First semester

STATISTICS (ADVANCED COURSE)
9 CFU - 60 hours - First semester

STOCHASTIC MODELLING AND SIMULATION
6 CFU - 48 hours - Second semester

TECHNOLOGY IN MATHEMATICS EDUCATION
6 CFU - 48 hours - First semester

FIELD THEORY I
6 CFU - 48 hours - First semester

TOPICS IN ADVANCED MATHEMATICAL PHYSICS 2
6 CFU - 48 hours - Second semester

Year of study: 2

Required

MATHEMATICS EDUCATION
6 CFU - 48 hours -

FINAL EXAMINATION
30 CFU - 0 hours -

INTERNSHIP
6 CFU - 150 hours -

Insegnamenti opzionali Gruppo 2 TAF B (between 6 and 12 CFU)

NUMERICAL METHODS FOR PDES
6 CFU - 48 hours -

TOPICS IN ADVANCED PROBABILITY
6 CFU - 48 hours -

Insegnamenti opzionali Gruppo 3 TAF C (between 6 and 24 CFU)

ADVANCED PROGRAMMING
6 CFU - 48 hours -

ALGEBRAIC GEOMETRY
6 CFU - 48 hours -

ALGORITHMIC DESIGN
6 CFU - 48 hours -

APPLIED MATHEMATICS
6 CFU - 48 hours -

COMPUTATIONAL METHODS FOR TURBULENT FLUIDS
6 CFU - 48 hours -

COMPUTATIONAL PHYSICS LABORATORY
6 CFU - 72 hours -

CONTROL THEORY
9 CFU - 72 hours -

DATA ANALYTICS
6 CFU - 48 hours -

DATA MANAGEMENT
6 CFU - 60 hours -

DATA-DRIVEN DIGITAL SYSTEMS
9 CFU - 72 hours -

DEEP LEARNING
6 CFU - 48 hours -

DIFFERENTIAL EQUATIONS
6 CFU - 48 hours -

DIFFERENTIAL GEOMETRY 2
6 CFU - 48 hours -

FLUID DYNAMICS
6 CFU - 48 hours -

GLOBAL AND MULTIOBJECTIVE OPTIMIZATION
6 CFU - 48 hours -

STATISTICAL INFERENCE
12 CFU - 96 hours -

INTRODUCTION TO MACHINE LEARNING
6 CFU - 48 hours -

MATHEMATICAL LEARNING: TESTING AND INTERVENING
6 CFU - 48 hours -

MATHEMATICAL OPTIMISATION
6 CFU - 48 hours -

QUANTUM MECHANICS
9 CFU - 72 hours -

STATISTICAL MODELS
6 CFU - 48 hours -

PROBABILISTIC MACHINE LEARNING
6 CFU - 48 hours -

REINFORCEMENT LEARNING
6 CFU - 48 hours -

SOFTWARE DEVELOPMENT METHODS
6 CFU - 48 hours -

STATISTICS (ADVANCED COURSE)
9 CFU - 60 hours -

STOCHASTIC MODELLING AND SIMULATION
6 CFU - 48 hours -

FIELD THEORY I
6 CFU - 48 hours -

TOPICS IN ADVANCED ALGEBRA
6 CFU - 48 hours -

TOPICS IN ADVANCED ANALYSIS 1
6 CFU - 48 hours -

TOPICS IN ADVANCED ANALYSIS 2
6 CFU - 48 hours -

TOPICS IN ADVANCED MATHEMATICAL PHYSICS 1
6 CFU - 48 hours -

Insegnamenti opzionali Gruppo 4 TAF D

ADVANCED PROGRAMMING
6 CFU - 48 hours -

ALGEBRAIC GEOMETRY
6 CFU - 48 hours -

ALGORITHMIC DESIGN
6 CFU - 48 hours -

APPLIED MATHEMATICS
6 CFU - 48 hours -

COMPUTATIONAL METHODS FOR TURBULENT FLUIDS
6 CFU - 48 hours -

COMPUTATIONAL PHYSICS LABORATORY
6 CFU - 72 hours -

CONTROL THEORY
9 CFU - 72 hours -

DATA ANALYTICS
6 CFU - 48 hours -

DATA MANAGEMENT
6 CFU - 60 hours -

DATA-DRIVEN DIGITAL SYSTEMS
9 CFU - 72 hours -

DEEP LEARNING
6 CFU - 48 hours -

DIFFERENTIAL EQUATIONS
6 CFU - 48 hours -

DIFFERENTIAL GEOMETRY 2
6 CFU - 48 hours -

FLUID DYNAMICS
6 CFU - 48 hours -

GLOBAL AND MULTIOBJECTIVE OPTIMIZATION
6 CFU - 48 hours -

STATISTICAL INFERENCE
12 CFU - 96 hours -

INTRODUCTION TO MACHINE LEARNING
6 CFU - 48 hours -

MATHEMATICAL LEARNING: TESTING AND INTERVENING
6 CFU - 48 hours -

MATHEMATICAL OPTIMISATION
6 CFU - 48 hours -

QUANTUM MECHANICS
9 CFU - 72 hours -

STATISTICAL MODELS
6 CFU - 48 hours -

NUMERICAL METHODS FOR PDES
6 CFU - 48 hours -

PROBABILISTIC MACHINE LEARNING
6 CFU - 48 hours -

REINFORCEMENT LEARNING
6 CFU - 48 hours -

SOFTWARE DEVELOPMENT METHODS
6 CFU - 48 hours -

STATISTICS (ADVANCED COURSE)
9 CFU - 60 hours -

STOCHASTIC MODELLING AND SIMULATION
6 CFU - 48 hours -

FIELD THEORY I
6 CFU - 48 hours -

TOPICS IN ADVANCED ALGEBRA
6 CFU - 48 hours -

TOPICS IN ADVANCED ANALYSIS 1
6 CFU - 48 hours -

TOPICS IN ADVANCED ANALYSIS 2
6 CFU - 48 hours -

TOPICS IN ADVANCED MATHEMATICAL PHYSICS 1
6 CFU - 48 hours -

TOPICS IN ADVANCED PROBABILITY
6 CFU - 48 hours -

APPLY GO TO COURSE