Mathematical Analysis 1
- Professors:
- Savaré Giuseppe
- Year:
- 2017/2018
- Course code:
- 500115
- ECTS:
- 9
- SSD:
- MAT/05
- DM:
- 270/04
- Lessons:
- 84
- Description:
- 271873
- Period:
- I semester
- Language:
- Italian
Objectives
The course introduces the fundamental elements of Mathematical Analysis concerning sequences, series and real functions of one variable.
Teaching methods
Lectures at the blackboard.
Examination
Oral and written examination.
Prerequisites
Background given by the highschool.
Syllabus
A brief review of elementary notions of logic and set theory.
Real and complex numbers, Euclidean vector spaces: metric and topology.
Limits for sequences and functions.
The concept of continuity and its main applications. Compact and connected sets.
Convergence of series and infinite sums.
Differential and integral calculus for real functions of one variable.
Real and complex numbers, Euclidean vector spaces: metric and topology.
Limits for sequences and functions.
The concept of continuity and its main applications. Compact and connected sets.
Convergence of series and infinite sums.
Differential and integral calculus for real functions of one variable.
Bibliography
Giovanni Prodi: Analisi Matematica. Boringhieri, 1977.
Carlo Domenico Pagani, Sando Salsa: Analisi Matematica 1. Zanichelli, 2015.
Sandro Salsa, Annamaria Squellati: Esercizi di Analisi Matematica 1.
Carlo Domenico Pagani, Sando Salsa: Analisi Matematica 1. Zanichelli, 2015.
Sandro Salsa, Annamaria Squellati: Esercizi di Analisi Matematica 1.
Dipartimento di Matematica ''F. Casorati''
Università degli Studi di Pavia -
Via Ferrata, 5 - 27100 Pavia
Tel +39.0382.985600 - Fax +39.0382.985602