Besides the five official examination sessions (January, February, June, July, September) it is possible to take two partial proofs (one at the middle of the teaching and one at the end). The two partial proofs are not compulsory. So there are many options. A student can decide to take:
1) an official examination (including the whole program) in one of the official dates (i.e. without taking both the two partial proofs).
2) both of the two partial proofs (and if he passes both of them there is no need to take any official examination).
3) the first/second partial proof and not the other one, in this case he will recover only the remaining proof during one of the official exams.
If a student does not pass one of the two partial proofs he will recover that proof in one of the official examinations (the mark of the other proof is kept fixed). A failed official exam can be recovered in a subsequent one.
Total marks available: 30/30 or 30/30 with honours. 18/30 marks are required to pass. In the case of the partial proofs the final mark is given by the arithmetic average of the two proofs.
Subject of the exams.
The exams are written exams and consist in solving problems according to the following scheme:
A) solve a problem by using the Lagrangian or the Hamiltonian systems of equations;
solve a problem by using the generating functions;
classify the given partial differential equation.
B) solve a problem by using a partial differential equation (with the method of separation of variables);
solve a problem on fluid dynamics ( by using the Navier-Stokes equations);
solve a problem by using Computation Fluid Dynamics.
The part A) is the argument of the first proof. The part B) of the second proof. Both the two parts are the argument of an official examination session.
In solving the problems it is required to specify the theorems or methods adopted.