# MATHEMATICS cod. 08680

1° year of course - First semester
Professor
Maria GROPPI
Fisica matematica (MAT/07)
Field
Discipline matematiche, fisiche e informatiche
Type of training activity
Basic
72 hours
of face-to-face activities
9 credits
hub: PARMA
course unit
in ITALIAN

## Learning objectives

The aim of the course is to make the student familiar with the fundamental tools of Calculus, in view mainly of the applications to data processing and interpretation.

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## Course unit content

The course focuses on the main topics of Calculus and on the fundamental concepts of Real Analysis in one variable (limits, derivatives, qualitative studies of the graph of a function, integration...)

## Full programme

Preliminaries:
Set Theory
Propositions and elementary Logic
The sets N, Z, Q, R and C and their properties.
Polynomials, equations, systems.
Analytic geometry

Functions:
defintion, properties, graphic, elementary functions and their graphics.
Logarithmic and exponential functions.

Limits of function and continuous functions.

Derivative of a function. Differential calculus.

Sequences

Integral calculus

## Bibliography

Preferred:
- Angelo Guerraggio, Matematica per le Scienze, Pearson (with electronic platform for exercises Mymathlab)
Suggested books:
- Roberto D'Ercole, Matematica per i precorsi, Pearson Education.
- Giuseppe De Marco, Analisi Zero, Decibel–Zanichelli.
- M. Abate, Matematica e Statistica (3rd edition), McGraw-Hill.
- P. Marcellini, C. Sbordone, Elementi di Calcolo, Liguori.

## Teaching methods

5 hours Lectures and 3 hours exercises per week

## Assessment methods and criteria

The final (written) exam is aiming at verifying the ability to use a formal language and to correctly solve exercises.

The written exam contains up to 6 exercises with almost equal value, and the time assigned is 2 hours and half. The (optional) oral exam includes all the program. The final mark in this case is the algebraic mean of the two evaluations (written and oral part)

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