2025-06-20 After finishing my Bachelor in applied mathematics at Bocconi University, I decided to organise, group and upload my notes, so that they could be useful to someone else for studying or revision.

The BAI course offers a mixture of theoretical and practical courses, building confidence in different areas of interest:

• Analysis : Linear Algebra, single-variable and multivariate Calculus, Linear Programming, Convex Optimisation and Differential Geometry
• Statistics : Probability, Statistics, Machine Learning (I, II), Stochastic Processes,
• Physics : Kinematics, Electromagnetism, Statistical and Quantum
• Computer Science : C and Python, Algorithms, Modelling
• Economics : Decision Theory, Game Theory, Finance
• Computational Biology : Neuroscience, (Transcriptomics)

All of first year involved learning how to study and adapting to the heavier workload of university. Although I found the subjects fascinating, the content was sometimes overwhelming. In other cases, such as Physics, I thought I understood the content, which led me to overestimate preparation for the exams.

I should note that I only started tracking my study hours in the second semester.

First Semester

• Y11 AN1: Mathematical Analysis Mod. 1
• Y11 ALG: Algebra And Geometry
• Y11 CS1: Computer Science Mod. 2
• Y11 ECO: Foundations of Economic Sciences

Second Semester

• Y12 AN2: Mathematical Analysis Mod. 2
• Y12 PH1: Foundations Of Physics I
• Y12 CS2: Computer Science Mod. 2
• Y12 PRO: Probability

Once I understood the study methodology better, I experimented with different levels of following classes: since Bocconi does not have mandatory attendence, I decided not to follow Statistics, which turned out to be an oversight.

First Semester

• Y21 PH2: Foundations Of Physics II
• Y21 DTH: Decision Theory And Human Behavior
• Y21 AN3: Advanced Analysis and Optimization Mod. 1
• Y21 STA: Mathematical Statistics
• Y21 GER: German Language (preparatory)

The whole first semester was a rollercoaster, and I only got things back under control at the end. I benefitted massively from the experience, at the cost of taking Statistics and Analysis 4 in July and September.

Second Semester

• Y22 MMM: Machine Learning And Artificial Intelligence
• Y22 APO: Advanced Programming And Optimization Algorithms
• Y22 AN4: Advanced Analysis and Optimization Mod. 2
• Y22 Seminars (AIL, DES, BSS): AI Lab, Digital Ethics, Behaviours Skills
• Y22 FRC: French Language and Culture
• Y22 ARB: Arabic Language and Culture (not curricular)

I had a whole linguistic journey in second year: I briefly considered learning German, taking up the preparatory course, but I realised I did not have the drive nor time, so I switched to the easier French, which I already knew, and followed Arabic throughout the semester.

The last subjects of the bachelor involved more mathematics and greater overlap between fields. I found Statistical and Quantum Physics of particular brilliance, since it touched Algorithms, Simulations, Approximations and Statistics. At the same time, I decided to lighten my load by taking a Management elective.

First Semester

• Y31 QPH: Statistical And Quantum Physics
• Y31 GMD: Game Theory And Mechanism Design
• Y31 MFN: Mathematical Modelling For Finance
• Y31 PDI: New Product Development and Open Innovation course (Additional Course)

Most of last semester was occupied by the search for summer internships, so I had to make excellent use of my limited time. I also followed a Topology Course as a university internship, in addition to lessons.

Second Semester

• Y32 MMN: Mathematical Modelling For Neuroscience
• Y32 CAN: Elements of Real and Fourier Analysis
• Y32 MLI: Mathematical Modelling In Machine Learning
• Y32 SPS: Stochastic Processes And Simulation In Natural Sciences, see also the pursuit-curves project.
• Y32 TPA: Internship Course in Topology

Finally, I left my thesis on the Hopfield Network to do in the summer.