# PRINCIPLES OF MATHEMATICS cod. 02556

1° year of course - First semester
Professor
Analisi matematica (MAT/05)
Field
Discipline matematiche, fisiche, informatiche e statistiche
Type of training activity
Basic
64 hours
of face-to-face activities
8 credits
hub: PARMA
course unit
in ITALIAN

## Learning objectives

Knowledge and understanding of the basic concepts and tools of calculus and statistics.
Ability to use such tools to study graphs of functions and solve problems related with the study of functions.
Ability to apply such tools to the study of experiments (to create models and/or provide the correct interpretations of the data).

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## Course unit content

Sets of numbers: definitions and properties.
Functions: definitions and main properties.
Limits and continuity: definitions, theorems on continuous functions.
Differential calculus: definitions, theorems and applications, drawing the graph of functions defined on the real numbers.
Integral calculus: definitions, theorems and applications.
Statistics: basic definitione.

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## Bibliography

Abate M. "Matematica e statistica - Le basi per le scienze della vita" Mc Graw Hill Ed.

Villani V. "Matematica per discipline biomediche" Mc Graw Hill Ed.

Marcellini P. - Sbordone C. "Elementi di calcolo. Versione semplificata per i nuovi corsi di laurea" Liguori Ed.

Marcellini P. - Sbordone C. "Esercizi di matematica - Volume I" Liguori Ed.

## Teaching methods

During the lectures we shall describe the basic objects and tools of calculus and statistics,
together with numerous examples and exercise to improve the understanding and to show how to apply them to the resolution of numerical exercises. There will be weekly exercise sessions to recall some basic notions and to provide more examples and exercises.

## Assessment methods and criteria

Written exam to check the ability to apply the basic toos of calculus to the solution of concrete numerical exercises.
Oral exam to verify the knowledge and understanding of the basic definitions and theorems of calculus.

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