27991 - Mathematical Analysis T-1

Learning outcomes

The student knows the basic concepts and the main properties of real functions of a real variable, in particular differential and integral calculus.

Course contents

The course treats the basic ideas and tecniques in real analysis, in particular for real functions of a real variable. The main contents are:

- Basic set theory, Real numbers, Euclidean topology 
- Sequences, Limits
- Continuous functions
- Differential calculus
- Integral calculus
- Series
- Complex numbers

 

However, the course will be taught in Italian: see the italian version for the detailed program.

27991 - ANALISI MATEMATICA T-1

Readings/Bibliography

- P.Marcellini, C.Sbordone. Elementi di Analisi Matematica Uno,
Liguori Editore.

- E.Giusti. Analisi matematica 1,
Bollati Boringhieri Editore.

- M.Bramanti, C.Pagani, S.Salsa. Matematica. Calcolo infinitesimale e algebra lineare,
Zanichelli Editore.

- G.C.Barozzi, G.Dore, E.Obrecht, Elementi di Analisi Matematica 1, Zanichelli.

- E.Lanconelli, Lezioni di Analisi Matematica 1, Pitagora.

- P.Marcellini, C.Sbordone. Esercitazioni di Matematica - I vol.,
Liguori Editore

- E.Giusti. Esercizi e complementi di analisi matematica,
Bollati Boringhieri Editore.

- S.Salsa, A.Squellati. Esercizi di Analisi matematica Vol. 1,
Zanichelli Editore.

Teaching methods

Lectures and exercises in classroom.

Assessment methods

The exam is made of a written test of 2 and a half hours and an oral one. Written exams of previous years can be found at the following link Virtuale

Teaching tools

Exercises and old exams can be found at the following link Virtuale.

 

Teaching assistant: Dott.ssa Chiara Guidi

Links to further information

http://www.dm.unibo.it/~martino/

Office hours

See the website of Vittorio Martino