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Lecture notes:

Notes (in Italian) from the courses I attended in my first Ph.D. year in S.I.S.S.A. Use it at your own risk!

Prof. Andrea Malchiodi's course "Variational methods".

Prof. Giovanni Vidossich's course "Ordinary differential equations".

Prof. Andrei Agrachev's course "Nonlinear analysis".

Exercises:

Collection of exercises (in Italian) I prepared as teaching support in Roma Tre University. Use it at your own risk!

"Linear algebra" (Basic course on finite-dimensional vector spaces, affine spaces and spectral theory) Texts, Solutions.

"Single-variable and multi-variable calculus" (Sequences of functions, multivariable functions, introduction to metric spaces) Texts, Solutions.

"Multivariable differential and integral calculus" (Implicit function theorem, multivariable integration, Gauss-Green, divergence and Stokes theorem) Texts, Solutions.

"Differential equations and mechanics" (Ordinary differential equations, planar systems, one-dimensional mechanical systems, two-body problem, change of coordinate systems) Texts, Solutions.

"Preparation to the final examination" (Single-variable and multivariable calculus, ordinary differential equations, basic abstract algebra, linear algebra) Texts, Solutions.