Start with the available materials, or consult the current courses and the archive, following the institutional references for the official syllabus and examination arrangements.
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The seven modules lead from physical foundations and mathematical tools to quantum circuits, algorithms and protocols, with slides available to read and download as PDFs and links in each module to related activities in Quantum Lab.
The Advanced Calculus and Stochastic Processes entry for 2026/2027 brings together the course references at Università Cattolica del Sacro Cuore, providing access to the institutional page and keeping the information for this academic year distinct from other editions.
This entry concerns the Computer Science component of Mathematics I and Information Technology for Geological Sciences in 2026/2027, with links to the University of Milan’s institutional information about the course.
The Advanced Calculus and Stochastic Processes entry for 2025/2026 brings together the course references at Università Cattolica del Sacro Cuore, providing access to the institutional page and keeping the information for this academic year distinct from other editions.
This entry concerns the Computer Science component of Mathematics I and Information Technology for Geological Sciences in 2025/2026, with links to the University of Milan’s institutional information about the course.
The Advanced Calculus and Stochastic Processes entry for 2024/2025 brings together the course references at Università Cattolica del Sacro Cuore, providing access to the institutional page and keeping the information for this academic year distinct from other editions.
Independent environments to explore alongside the course materials.
Explore the galaxy map ↗Through Quantum Lab’s simulations, you can accompany the seven course modules with an exploration of phenomena, circuits and protocols, observing how representations and results change as you adjust the available parameters and returning to the course materials to interpret what you have seen.
Laboratory interface: Italian.
Opens in this tab, with its own interface.
GeoStat Lab lets you explore statistical methods used in Earth sciences by comparing samples, time series and spatial data as you change model assumptions and parameters. Visual representations, mathematical explanations and R code accompany each path, helping you interpret the results and reconstruct the analysis that produced them.
Laboratory interface: Italian.
Opens in this tab, with its own interface.
Fractals
Four scaled-down copies occupy a tetrahedron’s vertices. Repeating the construction produces a structure in which empty space is as recognisably organised as the solids.
Follow the illuminated tetrahedral edges and compare openings at different construction levels, rotating the figure to distinguish internal gaps from overlaps introduced by a single projection.
S = ⋃ᵢ₌₁⁴ fᵢ(S), fᵢ(x) = (x + vᵢ)/2 Self-similar dimension: log(4)/log(2) = 2
The set is the union of four copies obtained by halving the sum of a point and each vertex; the self-similar dimension is logarithm of four divided by logarithm of two, equal to two.
The scene shows three recursion levels, hence 64 tetrahedra. The stated dimension concerns the mathematical limit, not the finite rendered object.