## Learning objectives

Knowledge and understanding of basic Mathematics, principal statistical indices and some simple discrete probability notions.

Applying knowledge and understanding to basic mathematical models.

Making judgements w.r.t. the output information coming from a table of data and w.r.t. the identification and the study of Bernoulli and Gauss distributions.

Learning skills developed in order to allow the student to deal in autonomy with the next stages of the university course requiring simple mathematical notions.

## Prerequisites

Operations in the set of real numbers.

## Course unit content

Lectures on Statistics and Probability applied to the biomedical sciences.

First lessons cover topics of general interest related to the foundations of Mathematics and Logic such as operations in numerical sets and predicate calculus.

The second part regards the discussion of the fundamental contents of Statistics: data collection, averages and dispersion indicators. The third part is devoted to combinatorics, probability calculus, Gauss and Bernoulli distributions.

## Full programme

Elementary theory of sets - Elements of Logic - Numerical sets, operations and properties - Applications: proportions and percentages - Applications: equivalences - Floating point representation of real numbers - Operations in scientific notation - Truncation and rounding approximations - Significant digits - Outline of functions - Real functions of real variable - Qualitative properties - Polynomial, exponential and logarithmic functions -

Elements of descriptive statistics: data collection, classification and graphical representation - Frequency distributions - Avarages, mode, median, squared error,

variance, standard deviation, index of variation - Gauss distribution - Two characters distribution - Combinatorics - Events and discrete probability calculus - Elements of probability theory - Bernoulli distribution.

## Bibliography

C. Sbordone, F. Sbordone: “Matematica per le Scienze della Vita”, EdiSES, (2014)

M. Abate: “Matematica e Statistica, Le basi per le scienze della vita”, McGraw-Hill, (2009)

V. Villani: “Matematica per le discipline bio-mediche”, Quarta edizione, McGraw-Hill, (2007)

## Teaching methods

The theoretical concepts will be illustrated through lectures and will be accompanied by examples and exercises carried out in the classroom by the teacher or students under the supervision of the teacher.

At the end of the lessons the teaching material will be uploaded on the Elly platform.

## Assessment methods and criteria

• Written final examination on problems to be solved

• Since it is an integrated teaching together with Physics and Computer Science, the final score will be the arithmetic average of the three marks, which have to be anyway all equal or greater than 18/30.

## Other information

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