Physics | University of Parma

Professor: Mario CASARTELLI
Academic discipline: Analisi matematica (MAT/05)
Field: Discipline matematiche e informatiche
Type of training activity: Basic

48 hours
of face-to-face activities

6 credits

hub: -

course unit
in - - -

lectures timetable unavailable

exam calls

Integrated course unit module: MATHEMATICS 2

Learning objectives

Introduction to fundamental concepts and methods of calculus.

Prerequisites

knowledge of elementary algebra and functions.

Course unit content

Fundamental elements in differential and integral calculus

Full programme

Elements in set theory and logics
Real and Complex numerical fields. Elementary functions.
Numerical sequences. Limits. Convergence and completeness.
Numerical series.
Landau symbols.
Functions and continuity.
Sequences of functions and uniform continuity.
Differential Calculus. Fundamental theorems.
Applications to functions.
Taylor’s Series.
The indefinite integral.
Riemann Integrals. Integration techniques.
Improper integrals.
Differential Equations of the first order.

Bibliography

C. Canuto - A. Tabacco, Analisi matematica I, Springer Italia

Teaching methods

Frontal lessons with exercises

Assessment methods and criteria

Examination with written and oral tests.

Other information

- - -

2030 agenda goals for sustainable development