Curriculum Advanced Mathematics for Applications - Course structure diagrams for students enrolled a.y. 2024-25

First Year

Compulsory Courses

		Period ? The period in which lectures are held 1: 15/09/2025 - 19/12/2025 2: 16/02/2026 - 29/05/2026 E: 15/09/2025 - 29/05/2026	Type ? A: Basic learning activities B: Core learning activity C: Related or supplementary learning activity D: Elective learning activity E: Final examination and foreign language test S: Stage F: Other	ssd ? Disciplinary-scientific area to which the learning activity belongs	cfu ? Credits
97476	Advanced Analysis and Riemannian Geometry - Not available for the year  2025/2026	1
	96756  Advanced Mathematical Analysus	1	B	MAT/05	6
	96757  Riemmannian Geometry	1	B	MAT/03	6

GROUP 1a - Elective courses (6 CFU)

Choose 6 credits among the following courses:

		Period ? The period in which lectures are held 1: 15/09/2025 - 19/12/2025 2: 16/02/2026 - 29/05/2026 E: 15/09/2025 - 29/05/2026	Type ? A: Basic learning activities B: Core learning activity C: Related or supplementary learning activity D: Elective learning activity E: Final examination and foreign language test S: Stage F: Other	ssd ? Disciplinary-scientific area to which the learning activity belongs	cfu ? Credits
96759	Representation Theory	1	B	MAT/02	6
96758	PDEs	2	B	MAT/05	6
96768	Toric Geometry and Applications	2	B	MAT/03	6

GROUP 1b - Elective courses (18 CFU)

Choose 18 credits among the following courses:

		Period ? The period in which lectures are held 1: 15/09/2025 - 19/12/2025 2: 16/02/2026 - 29/05/2026 E: 15/09/2025 - 29/05/2026	Type ? A: Basic learning activities B: Core learning activity C: Related or supplementary learning activity D: Elective learning activity E: Final examination and foreign language test S: Stage F: Other	ssd ? Disciplinary-scientific area to which the learning activity belongs	cfu ? Credits
96764	Mathematics for Complex Systems	1	B	MAT/07	6
35433	Numerical Methods The teaching is highly recommended to students who intend to follow a numerical path and have no previous knowledge on the topics in the program.	1	B	MAT/08	6
B0319	STOCHASTIC CALCULUS I	1	B	MAT/06	6
97263	Mathematical Foundations of Quantum Computation	2	B	MAT/07	6
96765	Numerical Differential Equations	2	B	MAT/08	6
B0320	STOCHASTIC CALCULUS II	2	B	MAT/06	6

GROUP 2 - Elective courses (6 CFU)

Choose 6 credits among the following courses:

		Period ? The period in which lectures are held 1: 15/09/2025 - 19/12/2025 2: 16/02/2026 - 29/05/2026 E: 15/09/2025 - 29/05/2026	Type ? A: Basic learning activities B: Core learning activity C: Related or supplementary learning activity D: Elective learning activity E: Final examination and foreign language test S: Stage F: Other	ssd ? Disciplinary-scientific area to which the learning activity belongs	cfu ? Credits
96771	Calculus of Variations	1	B	MAT/05	6
B0321	TOPOLOGICAL DATA ANALYSIS	1	B	MAT/03	6
96772	Real and Harmonic Analysis	2	B	MAT/05	6

GROUP 3 - Elective courses (max limit 30 CFU)

Choose 30 credits among: - the following courses; - the courses of the other lists (not yet chosen) - the courses of the other curricula or the bachelor degree in Math in your first or second year. At least 12 of the 18 credits should be included in the first year plan.

		Period ? The period in which lectures are held 1: 15/09/2025 - 19/12/2025 2: 16/02/2026 - 29/05/2026 E: 15/09/2025 - 29/05/2026	Type ? A: Basic learning activities B: Core learning activity C: Related or supplementary learning activity D: Elective learning activity E: Final examination and foreign language test S: Stage F: Other	ssd ? Disciplinary-scientific area to which the learning activity belongs	cfu ? Credits
96783	Biomedical Mathematical Models	1	C	MAT/05	6
97268	Geometric Modelling	1	C	MAT/08	6
97926	Geometric Number Theory	1	C	MAT/02	6
97271	Mathematical Programming	1	C	MAT/09	6
97267	Matrix Tensor Techniques for Data Science	1	C	MAT/08	6
B9075	TOPICS IN HOLOMORPHIC FUNCTION THEORY	1	C	MAT/05	6
95662	INTRODUCTION TO MACHINE LEARNING	2	C	MAT/06	6
B3093	MATHEMATICAL AND MACHINE LEARNING METHODS IN IMAGING	2	C	MAT/08	6
97438	Stochastic Models for Finance - Not available for the year  2025/2026	2	C	SECS-S/06	6

Second Year

Compulsory Courses

		Period ? The period in which lectures are held 1: 15/09/2025 - 19/12/2025 2: 16/02/2026 - 29/05/2026 E: 15/09/2025 - 29/05/2026	Type ? A: Basic learning activities B: Core learning activity C: Related or supplementary learning activity D: Elective learning activity E: Final examination and foreign language test S: Stage F: Other		cfu ? Credits
96811	Internship	2	F		6

Elective Courses (18 CFU)

The student must choose at least 18 credits from all the active exams at the University. The choice of exams will be evaluated by the Degree Program Board to ensure consistency with the training project.

Final examination (24 CFU)

		Period ? The period in which lectures are held 1: 15/09/2025 - 19/12/2025 2: 16/02/2026 - 29/05/2026 E: 15/09/2025 - 29/05/2026	Type ? A: Basic learning activities B: Core learning activity C: Related or supplementary learning activity D: Elective learning activity E: Final examination and foreign language test S: Stage F: Other		cfu ? Credits
B0636	FINAL EXAMINATION	2	E		14
60750	Final examination	2	E		24
95789	Internship Abroad in Preparation for the Final Examination	2	E		10
84630	Internship for the Preparation of the Final Examination	2	E		10