Matteo is an excellent professor. He manages to make the lessons fun and rigorous at the same time. He has infinite patience and will explain the same thing over and over from different perspectives until you truly understand. Additionally, he goes out of his way to help you make progress. He is always available to rescue you if you are stuck with an exercise or to recommend extra resources! And last but not least, he is very kind and reliable. I strongly recommend his lessons. Do not hesitate to contact him!
Paula - Matteo is an excellent professor!
Matteo is a great Professor. I have been taking lessons with him for the preparation of the GRE/GMAT. He is outstanding in teaching both theoretical concepts and practical mathematical applications. His teaching methodology is very effective for gaining a deep understanding of Mathematics in an intuitive way rather than a mechanical way. He thrives to find ways to teach you a “strategy” that works around your way of thinking rather than giving you “one way” interpretation. Matteo is also very friendly and intellectually curious I highly recommend him
Jasmine - preparation of the GRE/GMAT
First of all Matteo is a teacher that really wants you to understand, and by this learn what you are doing. He is a very patient teacher and does not seem to mind stretching himself for you to achieve what you aim for - he is always up for sending some extra exercises or help if you have any problems.
Matteo helped me go from a person not having much understanding of maths to someone that could feel confident when studying a function that before would look uninterpratable. After his lessons I will not only be able to pass my exam, but I will be able to use what I have learned (and now understood) in the future for other subjects and/or programs.
Jørgensen - very patient teacher

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Ideas and exercises

## mathematical dialogues

7 December 2022
###### The Hilbert Hotel: a tale of two functions.
Can we exploit some apparent paradoxes of infinity to construct an injective function $$f(x)$$ defined over some closed and bounded interval, that is diff...
5 January 2022
###### A bumpy ride
We take again inspiration from the Putnam competition, for an exercise on continuity and differentiability of real fuctions obtained by "stretching" a bas...
5 December 2021
###### Problem unraveling
Let us go back to Terence Tao's Solving Mathematical Problems, for another exercise. As done in a previous post, I would like to show an alternative ...
2 December 2021
###### Extreme derivatives
Theorem. Let $$f$$ be a real function, which is differentiable up to order $$n$$ in  $$c \in \Bbb R$$, for some positive integer $$n$$. Suppose that ...
30 October 2021
###### Euclid strikes back
I found the following problem on Terenece Tao's "Solving Mathematical Problems". I propose, here, a synthetic approach based on simple Euclidean geometry ...
17 July 2021
###### Close enough?
While solving some exercises for my students, I bumped into the following sub-problem: given a divergent sequence $$(a_n)$$, such that $$(a_{n+1} - a_n)$$...