MATHEMATICS MASTER DEGREE
QUANTITATIVE FINANCE TRACK
The marked growth of the financial markets requires appropriate development of mathematical and financial theories. To this end, mathematicians and physicists contribute to defining models capable of better explaining trends in financial assets.
The Quantitative Finance Track aims to present students with the mathematical tools to describe financial assets (stochastic calculation and time series). It involves the study of deterministic and probabilistic numerical methods for assessment of financial derivatives. Particular attention is focused on coverage of financial derivatives and risk management topics.
The objective of the Quantitative Finance Track is to equip students to engage with the fascinating world of finance through appropriate mathematical tools, with a view to professional development in the industry and in the most important financial centres (New York, London, Hong Kong and Paris).
The training programme includes the following common compulsory courses:
- FOUNDATIONS OF HIGHER ANALYSIS (MAT/05) 12 CFU
- FOUNDATIONS OF HIGHER GEOMETRY (MAT/03) 12 CFU
- COMPUTATIONAL MATHEMATICS LABORATORY (MAT/08) 6 CFU
- PROBABILITY II (MAT/06) 6 CFU
A further 36 course credits must be chosen from the complementary courses shown below. Choosing the following:
- TIME SERIES ANALYSIS (SECS-S/03) 6 CFU
- QUANTITATIVE FINANCE (SECS-S/06) 6 CFU
- FINANCIAL MATHEMATICS (SECS-S/06) 6 CFU
- NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS (MAT/08) 6 CFU
automatically results in approval of the study plan.
The track also includes an activity chosen from:
- Laboratory of Mathematics 6 CFU
- External Internship 6 CFU
It is completed by 12 free-choice course credits and the final test for 30 credits.
Complementary courses
- ADVANCED ALGORITHMS (INF 01) 6 CFU
- APPLIED DYNAMICAL SYSTEMS (MAT/08) 6 CFU
- APPLIED STATISTICS AND DATA ANALYSIS (SECS-S/01) 6 CFU
- APPROXIMATION THEORY AND PRACTICE (MAT/08) 6 CFU
- COMPUTER SCIENCE III (INF/01) 6 CFU
- FINANCIAL MATHEMATICS (SECS-S/06) 6 CFU
- GENERAL THEORY OF DYNAMICAL SYSTEMS (MAT/01) 6 CFU
- HIGHER ANALYSIS (MAT/05) 6 CFU
- LOGIC FOR APPLICATIONS (MAT/01) 6 CFU
- MATHEMATICAL PHYSICS (MAT/07) 6 CFU
- MODERN PHYSICS (FIS/01) 6 CFU
- NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS (MAT/08) 6 CFU
- PARTICLES AND FUNDAMENTAL INTERACTIONS (FIS/01) 6 CFU
- PHYSICS EDUCATION (FIS/01) 6 CFU
- PHYSICS INSTRUMENT AND MEASUREMENT LABORATORY (FIS/01) 6 CFU
- QUALITATIVE THEORY OF DYNAMICAL SYSTEMS (MAT/05) 6 CFU
- QUANTITATIVE FINANCE (SECS-S/06) 6 CFU
- STATISTICS I (SECS-S/01) 6 CFU
- STATISTICS II (SECS-S/01) 6 CFU
- SYSTEM THEORY FOR CONTROL (ING-INF/04) 6 CFU
- TIME SERIES ANALYSIS (SECS-S/03) 6 CFU
Complementary courses offered only on odd/even academic years (2021/22, 2023/24 etc):
- ALGEBRAIC GEOMETRY II (MAT/03) 6 CFU
- ALGORITHMS AND MODELS FOR DECISIONS (MAT/09) 6 CFU
- COMBINATORIAL OPTIMIZATION (MAT/09) 6 CFU
- COMPLEMENTS OF MATHEMATICS (MAT/04) 6 CFU
- COMPUTER SCIENCE EDUCATION (INF/01) 6 CFU
- HIGHER ALGEBRA II (MAT/02) 6 CFU
- HIGHER GEOMETRY(MAT/03) 6 CFU
- HISTORY OF MATHEMATICS (MAT/04) 6 CFU
- NUMBER THEORY (MAT/03) 6 CFU
- SET THEORY (MAT/01) 6 CFU
- TIME SERIES ANALYSIS (SECS-S/03) 6 CFU
- TOPOLOGY (MAT/02) 6 CFU
Complementary courses offered only on even/odd academic years (2022/23, 2024/25 etc):
- ALGEBRAIC GEOMETRY I (MAT/03) 6 CFU
- ALGEBRAIC TOPOLOGY (MAT/03) 6 CFU
- COMPUTATIONAL GEOMETRY (INF/01) 6 CFU
- ENTROPY AND DYNAMICAL SYSTEMS (MAT/02) 6 CFU
- FOUNDATIONS OF MATHEMATICAL LOGIC (MAT/01) 6 CFU
- FOUNDATIONS OF MATHEMATICS (MAT/04) 6 CFU
- GRAPH AND GAME THEORY (MAT/09) 6 CFU
- HIGHER ALGEBRA I (MAT/02) 6 CFU
- MATHEMATICS EDUCATION (MAT/04) 6 CFU
