Three elective courses among the following (including at least two courses to be chosen in the first year) (between 18 and 27 CFU)

• FUNCTIONAL ANALYSIS 9 CFU - 78 hours 1st semester

• DIDACTICS OF MATHEMATICS 9 CFU - 72 hours 1st semester

• SPECIFIC DIDACTICS OF MATHEMATICS 9 CFU - 72 hours 2nd semester

• ALGEBRA INSTITUTIONS 9 CFU - 76 hours 1st semester

• GEOMETRY INSTITUTIONS 9 CFU - 76 hours 1st semester

Choose a subject among courses offered in the first and second year

• FINITE ELEMENTS 9 CFU - 76 hours 2nd semester

• DIFFUSION AND TRANSPORT PHENOMENA 9 CFU - 78 hours 2nd semester

• OPERATIONS RESEARCH 9 CFU - 80 hours 2nd semester

• PROBABILITY 9 CFU - 84 hours 1st semester

Choose at least 18 credits from Table 1 (including 6 in the first year) (6 CFU)

• FUNCTIONAL ANALYSIS 9 CFU - 78 hours 1st semester

• FUNCTIONAL ANALYSIS AND DIFFERENTIAL EQUATIONS 6 CFU - 56 hours 2nd semester

• BIOMATHEMATICS 6 CFU - 56 hours 1st semester

• CALCULUS OF VARIATIONS 6 CFU - 48 hours 2nd semester

• COMPLEMENTS OF ALGEBRA 6 CFU - 48 hours 2nd semester

• ALGEBRAIC CURVES AND RIEMANN SURFACES 6 CFU - 60 hours 2nd semester

• DIDACTICS OF MATHEMATICS 9 CFU - 72 hours 1st semester

• DIDATTICHE SPECIFICHE DELLA MATEMATICA 9 CFU - 72 hours 2nd semester

• FINITE ELEMENTS 9 CFU - 76 hours 2nd semester

• EVOLUTION EQUATIONS 6 CFU - 48 hours 2nd semester

• DIFFUSION AND TRANSPORT PHENOMENA 9 CFU - 78 hours 2nd semester

• MATHEMATICAL FINANCE 6 CFU - 52 hours 1st semester

• DIFFERENTIAL GEOMETRY 6 CFU - 48 hours 2nd semester

• HIGHER GEOMETRY 6 CFU - 48 hours 1st semester

• ALGEBRA INSTITUTIONS 9 CFU - 76 hours 1st semester

• GEOMETRY INSTITUTIONS 9 CFU - 76 hours 1st semester

• MACHINE LEARNING FOR SCIENTIFIC COMPUTING 6 CFU - 48 hours 1st semester

• ELEMENTARY MATHEMATICS 6 CFU - 48 hours 1st semester

• ADVANCED MECHANICS 6 CFU - 48 hours 1st semester

• ADVANCED NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 6 CFU - 48 hours 2nd semester

• KINETIC MODELS AND APPLICATIONS 6 CFU - 48 hours 2nd semester

• NUMERICAL OPTIMIZATION AND DATA SCIENCE 6 CFU - 48 hours 2nd semester

• OPERATIONS RESEARCH 9 CFU - 80 hours 2nd semester

• PROBABILITY 9 CFU - 84 hours 1st semester

• STOCHASTIC PROCESSES 6 CFU - 48 hours 2nd semester

• DYNAMICAL SYSTEMS: THEORY AND NUMERICAL METHODS 6 CFU - 56 hours 1st semester

• HISTORY OF MATHEMATICS 6 CFU - 48 hours 1st semester

• DYNAMICAL SYSTEMS 6 CFU - 56 hours 2nd semester

Choose up to 18 credits in Table 2 (between 6 and 18 CFU)

• DATA BASE 6 CFU - 60 hours 1st semester

• COMPUTER VISION 6 CFU - 50 hours 1st semester

• DECISIONS AND CHOICES 6 CFU - 44 hours 2nd semester

• PHYSICS EDUCATION 6 CFU - 48 hours 2nd semester

• ECONOPHYSICS 6 CFU - 48 hours 1st semester

• ELEMENTS OF MODERN PHYSICS 6 CFU - 48 hours 1st semester

• ELECTRODYNAMICS AND RELATIVITY 6 CFU - 48 hours 1st semester

• PHILOSOPHY OF SCIENCE - ADVANCED 6 CFU - 36 hours 2nd semester

• FINANCIAL ECONOMETRICS 6 CFU - 44 hours 1st semester

• PHYSICS OF QUANTUM COMPUTATION 6 CFU - 48 hours 2nd semester

• GAME AND EQUILIBRIUM THEORY: TOOLS AND APPLICATIONS 6 CFU - 44 hours 2nd semester

• LIE GROUPS AND REPRESENTATION THEORY 6 CFU - 48 hours 2nd semester

• INTRODUCTION TO ASTRONOMY 6 CFU - 48 hours 1st semester

• INTRODUCTION TO MODERN PHYSICS 6 CFU - 48 hours 2nd semester

• MACHINE LEARNING 6 CFU - 59 hours 2nd semester

• MECHANICS OF SOLIDS AND STRUCTURES 6 CFU - 60 hours 1st semester

• MODELS OF BIOLOGICAL SYSTEMS 6 CFU - 80 hours 2nd semester

• TEACHING TOOLS AND METHODS 6 CFU - 56 hours 1st semester

• GENERAL RELATIVITY 6 CFU - 60 hours 2nd semester

• COMPUTER NETWORKS 6 CFU - 60 hours Annual

• STATISTICAL LEARNING THEORY 6 CFU - 45 hours 1st semester

• STATISTICAL METHODS IN PHYSICS 6 CFU - 48 hours 1st semester

• HISTORY OF PHYSICS 6 CFU - 48 hours 1st semester

• HISTORY OF SCIENCES 6 CFU - 48 hours 1st semester

12 Elective ECTS to be selected among the entire available academic offer of the university. The degree programme recommends: (12 CFU)

• DISCIPLINARY CLOSE EXAMINATION 3 CFU - 24 hours

• INTRODUCTION TO THE THEORY OF STOCHASTIC PROCESSES 3 CFU - 30 hours 2nd semester

• STOCHASTIC DIFFERENTIAL EQUATIONS 3 CFU - 24 hours 2nd semester

• HISTORY OF ANCIENT MATHEMATICS 6 CFU - 48 hours 1st semester

• GEOMETRICAL STRUCTURES IN MATHEMATICAL PHYSICS 3 CFU - 24 hours 1st semester

• GAMES THEORY 3 CFU - 24 hours 1st semester

• INTERNSHIP 1 3 CFU - 75 hours

• INTERNSHIP 2 6 CFU - 150 hours

• INTERNSHIP 3 9 CFU - 225 hours

Compulsory

• SCIENTIFIC ENGLISH 3 CFU - 24 hours

• FINAL EXAM 33 CFU - 0 hours

Three elective courses among the following (including at least two courses to be chosen in the first year) (9 CFU)

• FUNCTIONAL ANALYSIS 9 CFU - 78 hours

• DIDACTICS OF MATHEMATICS 9 CFU - 72 hours

• SPECIFIC DIDACTICS OF MATHEMATICS 9 CFU - 72 hours

• ALGEBRA INSTITUTIONS 9 CFU - 76 hours

• GEOMETRY INSTITUTIONS 9 CFU - 76 hours

Scegli un insegnamento tra il primo ed il secondo anno

• FINITE ELEMENTS 9 CFU - 76 hours

• DIFFUSION AND TRANSPORT PHENOMENA 9 CFU - 78 hours

• OPERATIONS RESEARCH 9 CFU - 80 hours

• PROBABILITY 9 CFU - 84 hours

Choose at least 18 credits from Table 1 (including 6 in the first year) (between 12 and 30 CFU)

• HIGHER ALGEBRA 6 CFU - 60 hours

• ALGEBRAIC GEOMETRY 6 CFU - 60 hours

• FUNCTIONAL ANALYSIS 9 CFU - 78 hours

• FUNCTIONAL ANALYSIS AND DIFFERENTIAL EQUATIONS 6 CFU - 56 hours

• BIOMATHEMATICS 6 CFU - 56 hours

• CALCULUS OF VARIATIONS 6 CFU - 48 hours

• COMPLEMENTS OF ALGEBRA 6 CFU - 48 hours

• ALGEBRAIC CURVES AND RIEMANN SURFACES 6 CFU - 60 hours

• DIDACTICS OF MATHEMATICS 9 CFU - 72 hours

• DIDATTICHE SPECIFICHE DELLA MATEMATICA 9 CFU - 72 hours

• FINITE ELEMENTS 9 CFU - 76 hours

• EVOLUTION EQUATIONS 6 CFU - 48 hours

• DIFFUSION AND TRANSPORT PHENOMENA 9 CFU - 78 hours

• MATHEMATICAL FINANCE 6 CFU - 52 hours

• ALGEBRAIC GEOMETRY 6 CFU - 48 hours

• DIFFERENTIAL GEOMETRY 6 CFU - 48 hours

• HIGHER GEOMETRY 6 CFU - 48 hours

• ALGEBRA INSTITUTIONS 9 CFU - 76 hours

• GEOMETRY INSTITUTIONS 9 CFU - 76 hours

• MACHINE LEARNING FOR SCIENTIFIC COMPUTING 6 CFU - 48 hours

• ELEMENTARY MATHEMATICS 6 CFU - 48 hours

• ELEMENTARY MATHEMATICS FROM AN ADVANCED STANDPOINT 6 CFU - 48 hours

• ADVANCED MECHANICS 6 CFU - 48 hours

• ADVANCED NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 6 CFU - 48 hours

• KINETIC MODELS AND APPLICATIONS 6 CFU - 48 hours

• NUMERICAL OPTIMIZATION AND DATA SCIENCE 6 CFU - 48 hours

• OPERATIONS RESEARCH 9 CFU - 80 hours

• PROBABILITY 9 CFU - 84 hours

• STOCHASTIC PROCESSES 6 CFU - 48 hours

• DYNAMICAL SYSTEMS: THEORY AND NUMERICAL METHODS 6 CFU - 56 hours

• HISTORY OF MATHEMATICS 6 CFU - 48 hours

• DYNAMICAL SYSTEMS 6 CFU - 56 hours

Choose up to 18 credits in Table 2 (between 6 and 18 CFU)

• DATA BASE 6 CFU - 60 hours

• COMPUTER VISION 6 CFU - 50 hours

• DECISIONS AND CHOICES 6 CFU - 44 hours

• PHYSICS EDUCATION 6 CFU - 48 hours

• ECONOPHYSICS 6 CFU - 48 hours

• ELEMENTS OF MODERN PHYSICS 6 CFU - 48 hours

• ELECTRODYNAMICS AND RELATIVITY 6 CFU - 48 hours

• PHILOSOPHY OF SCIENCE - ADVANCED 6 CFU - 36 hours

• FINANCIAL ECONOMETRICS 6 CFU - 44 hours

• PHYSICS OF QUANTUM COMPUTATION 6 CFU - 48 hours

• GAME AND EQUILIBRIUM THEORY: TOOLS AND APPLICATIONS 6 CFU - 44 hours

• LIE GROUPS AND REPRESENTATION THEORY 6 CFU - 48 hours

• INTRODUCTION TO ASTRONOMY 6 CFU - 48 hours

• INTRODUCTION TO MODERN PHYSICS 6 CFU - 48 hours

• MACHINE LEARNING 6 CFU - 59 hours

• MECHANICS OF SOLIDS AND STRUCTURES 6 CFU - 60 hours

• MODELS OF BIOLOGICAL SYSTEMS 6 CFU - 80 hours

• TEACHING TOOLS AND METHODS 6 CFU - 56 hours

• GENERAL RELATIVITY 6 CFU - 60 hours

• COMPUTER NETWORKS 6 CFU - 60 hours

• STATISTICAL LEARNING THEORY 6 CFU - 45 hours

• STATISTICAL METHODS IN PHYSICS 6 CFU - 48 hours

• HISTORY OF PHYSICS 6 CFU - 48 hours

• HISTORY OF SCIENCES 6 CFU - 48 hours

12 Elective ECTS to be selected among the entire available academic offer of the university. The degree programme recommends: (12 CFU)

• DISCIPLINARY CLOSE EXAMINATION 3 CFU - 24 hours

• INTRODUCTION TO THE THEORY OF STOCHASTIC PROCESSES 3 CFU - 30 hours

• STOCHASTIC DIFFERENTIAL EQUATIONS 3 CFU - 24 hours

• HISTORY OF ANCIENT MATHEMATICS 6 CFU - 48 hours

• GEOMETRICAL STRUCTURES IN MATHEMATICAL PHYSICS 3 CFU - 24 hours

• GAMES THEORY 3 CFU - 24 hours

• INTERNSHIP 1 3 CFU - 75 hours

• INTERNSHIP 2 6 CFU - 150 hours

• INTERNSHIP 3 9 CFU - 225 hours