There are five examination dates (two in JanuaryFebruary, two in JuneJuly, one in September). The course consists in two moduli, one in Mathematical Methods (ref. G. Arioli and F. Cipriani) and one in Numerical Methods (ref. C. Vergara and P. Zunino). The exam in Mathematical Methods is written and consists in both questions on the theory and exercises. The exam in Numerical Methods consists in a written part and an optional oral part. The written part of both moduli takes place in the same day. Students can take the oral exam for the Numerical Methods modulus only when the corresponding written grade is at least 15 out of 30.
The final grade is the (rounded up) arithmetic mean of the grades obtained in the two moduli. To get the grade “30 cum laude” one should obtain such grade in both the subparts. If this is not the case, a single "30 cum laude" in one of the parts will be considered as 30 in performing the arithmetic mean.
It is possible to take the exam in one modulus (Mathematical or Numerical Methods) in one of the five examination dates and in the other modulus in another examination date, provided such dates are in the same academic year. It is mandatory to take the written and the oral part of the Numerical Methods modulus within the same examination date, i.e. it is not possible to give the written part in one examination date and the oral part in another one.
The participation to the written exam of one of the two moduli, automatically discards any previous grade obtained for that modulus, even if the student chooses to withdraw.
NOTES
1) Mathematical Methods in Engineering and Numerical Methods in Engineering are also single courses which can be taken independently.
2) Browsing texts, notes, and electronic devices are not allowed during the tests. It is mandatory to bring an ID (e.g. identity card, driver’s licence,…) in order to be identified.
3) Registration to the exam is mandatory. Unregistered students will not be admitted.
The exam is designed to test the student on the following skills:
i) the knowledge and understanding of
* finite difference approximation;
* finite element approximation in space;
* the ability to solve simple exercises based on all the metods that have been introduced in the course;
* the concepts of consistency, stability and convergence applied to all the metods that have been introduced in the course;
ii) the ability to apply the previous knowledge to simple examples on the calculator. In particular the student is required to
* be able to run and suitably modify a computer script provided by the instructor;
* critically discuss the resuls of the numerical experiments above in prespective of the theory;
The instructor expects a broad comprehension of the subjects which sould not be limited to the statement of theoretical results.
Instead, the acquired knowledge should enable students to express critical judgment and make informed choices on numerical methods for partial differential equations.
The students are expected to express their answers in a mathematically rigorous and clear way.
