Facoltà di Ingegneria - Guida degli insegnamenti (Syllabus)

Fundamentals of mathematics.

This course gives students the fundamentals of the experimental method, typical of each scientific subject, and the fundamental laws of classical mechanics. It represents a basic link between the secondary school knowledge and the university teaching. The acquired knowledge allows students to get the necessary instruments for a scientific approach to the analysis of engineering problems.

The acquired knowledge and physic methods will allow students to understand, analyse and sketch engineering problems. In particular, students will have to acquire the ability to outline complex phenomena into their essential elements and to apply the classical physics laws to describe them. To this aim, the proposed exercises are usually derived from the common experience. Such knowledge and methods can be applied to many of the university courses the student will attend and, in the following, to the problems he will face during the working career.

The methodological approach acquired and the exercises proposed during this course will contribute to improve the judgement ability, the learning skill and that of drawing conclusions

The scientific method. Fundamentals of measurement theory. Kinematics of the point particle. Dynamics of the point particle. Examples of forces. Non-inertial frames of reference and fictitious forces. Energy and work. Mechanics of the systems of particles. Conservation laws. Collisions. Kinematics and dynamics of rigid bodies. Oscillations.

The evaluation of the student's level of learning is done at the end of the course by means of a written test and an oral examination. The written test, preliminary to the oral exam, consists in solving various exercises (problems and/or questions); the oral examination consists in the discussion of topics of the program, regarding theoretical aspects as well as the setting up and resolution of typical problems of mechanincs.

In the written test the students must demonstrate: knowledge of the laws of mechanics and their correct application to the solution of problems; ability to model mechanical systems in physico-mathematical terms; skills in symbolic and numerical calculations. The oral examination evaluates: the comprehension of the laws of mechanincs, their formal derivation and proper application to specific mechanical systems; reasoning skills; clarity and expression skills.

In the written test, each exsercise (problem and/or question) can receive a maximum mark variable with the difficulty of the exercise and indicated in the text, for a maximum total score of 30 points; the test is passed with a minimum total score of 18; passing the written test is a prerequisite for the oral. The oral examination assigns up to 30 points, on the basis of the evaluation criteria mentioned above; the oral examination is passed with a minimum score of 18.

To pass the examination with a positive mark, the students have to pass both the written test and the oral examination with a minimum score of 18. The final mark is given by the score of the oral examination; in any case, the final mark cannot differ from the score of the written test by more than 4 points (either positive or negative). The honors (laude) are given to students who, having achieved a mark of 30, demonstrate a particular mastery of the subject or a level of knowledge of the topics higher than it is normally required. In the case of a negative outcome, the student must repeat both the written test and the oral examination.

(1) P. Mazzoldi, M. Nigro, C. Voci, Fisica Vol. 1, EdiSES. (2) G. Vannini, Gettys Fisica I, McGraw-Hill. (3) D. Halliday, R. Resnick, K. S. Krane, Fisica 1, Casa Editrice Ambrosiana. (4) C. Mencuccini, V. Silvestrini, Fisica I, Liguori Editore. (5) S. Rosati, Fisica Generale 1, Casa Editrice Ambrosiana.

- Ingegneria Gestionale (Corso di Laurea Triennale Fuori Sede (DM 270/04))

**Università Politecnica delle Marche**

P.zza Roma 22, 60121 Ancona

Tel (+39) 071.220.1, Fax (+39) 071.220.2324

P.I. 00382520427