PRINCIPLES OF MATHEMATICS
cod. 08610

Academic year 2009/10
1° year of course - Second semester
Professor responsible for the course unit
VIGHI Paola
integrated course unit
9 credits
hub:
course unit
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Course unit structured in the following modules:

Learning objectives

<p>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.</p>

Prerequisites

Basic mathematics knowledge.<br />

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. <br />
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Full programme

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Bibliography

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

Teaching methods

<p>Lectures and exercices, also by means of working groups. <br />
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Assessment: written and oral examination <br />
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Assessment methods and criteria

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Other information

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