cod. 00674

Academic year 2013/14
1° year of course - First semester
Academic discipline
Matematiche complementari (MAT/04)
Discipline matematiche, informatiche e statistiche
Type of training activity
162 hours
of face-to-face activities
9 credits
hub: PARMA
course unit
in - - -

Learning objectives

To study and to deepen basic notions of Mathematics, with particular attention to concepts meaning. To furnish instruments and methods to describe and to interpret situations and data.


Basic mathematics knowledge

Course unit content

Richiami degli argomenti di Aritmetica, Algebra e Geometria euclidea e cartesiana della scuola preuniversitaria. Cenni di calcolo vettoriale (in due dimensioni). Funzioni reali di variabili reali e studio di funzioni. Calcolo differenziale e sviluppo di Taylor. Calcolo integrale. Equazioni differenziali. Cenni allo studio di funzioni di più variabili.

Full programme

Natural numbers, decimal numbers, real numbers and intervals. Vectors in two dimensions.The concept of function: definition, graph, domaine and range; graphical representation. Elementary Functions: rational functions, algebraic functions, trigonometric, exponential and logarithmic; compound functions. Concept of limit. Fundamental ideas of integral and differential calculus: integral as area, integration rules, derivative and tangent, differentiability and continuity of functions, definition of differential. Differential equations. Two variables functions.


V. Villani, Matematica per le discipline bio-mediche, McGraw-Hill.
J. Stewart, Calcolo. Funzioni di una variabile, Apogeo.

Teaching methods

Frontal lectures and exercises also with work in groups

Assessment methods and criteria

Written task

Other information

During the teaching period student will have partial written tests which would substitute the final written task