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Curriculum Advanced Mathematics for Applications - Course structure diagrams for students enrolled a.y. 2023-24

First Year

Compulsory Courses

Period ? The period in which lectures are held 1: 16/09/2024 - 20/12/2024 2: 17/02/2025 - 30/05/2025 E: 16/09/2024 - 30/05/2025 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 1
96756  Advanced Mathematical Analysus 1 B MAT/05 6
96757  Riemmannian Geometry 1 B MAT/03 6

Elective Courses I year - web plan (max limit 18 CFU)

GROUP 1a - Elective courses (6 CFU)

Choose 6 credits among the following courses:
Period ? The period in which lectures are held 1: 16/09/2024 - 20/12/2024 2: 17/02/2025 - 30/05/2025 E: 16/09/2024 - 30/05/2025 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
96760 Geometric and Topological Tools for Applications 2 B MAT/03 6
96758 PDEs 2 B MAT/05 6
96759 Representation Theory 2 B MAT/02 6

GROUP 1b - Elective courses (18 CFU)

Choose 18 credits among the following courses:
Period ? The period in which lectures are held 1: 16/09/2024 - 20/12/2024 2: 17/02/2025 - 30/05/2025 E: 16/09/2024 - 30/05/2025 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: 16/09/2024 - 20/12/2024 2: 17/02/2025 - 30/05/2025 E: 16/09/2024 - 30/05/2025 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 2 B MAT/05 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 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: 16/09/2024 - 20/12/2024 2: 17/02/2025 - 30/05/2025 E: 16/09/2024 - 30/05/2025 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
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
95662 INTRODUCTION TO MACHINE LEARNING 2 C MAT/06 6
B3093 MATHEMATICAL AND MACHINE LEARNING METHODS IN IMAGING 2 C MAT/08 6

Second Year

Compulsory Courses

Period ? The period in which lectures are held 1: 16/09/2024 - 20/12/2024 2: 17/02/2025 - 30/05/2025 E: 16/09/2024 - 30/05/2025 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: 16/09/2024 - 20/12/2024 2: 17/02/2025 - 30/05/2025 E: 16/09/2024 - 30/05/2025 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