PRINCIPLES OF MATHEMATICS
cod. 08610

Academic year 2010/11
1° year of course - Second semester
Professor responsible for the course unit
VIGHI Paola
integrated course unit
9 credits
hub:
course unit
in - - -

Course unit structured in the following modules:

Learning objectives

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

Prerequisites

Basic mathematics knowledge.

Course unit content

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.

Full programme

- - -

Bibliography

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

Teaching methods

Lectures and exercices, also by means of working groups.

Assessment: written and oral examination

Assessment methods and criteria

- - -

Other information

- - -