17912 - Mathematical Analysis L-B

Course contents

1. Peano-Jordan measure. Riemann integration theory.

2. The vector space  R ^n : metric and topology property.

3. Cauchy problem for differential equations of second order with constant coefficients.

4. Differentiation : functions of two variables.

5. Curves and ector fields in the space. Potentials. Geometry of the curves in the space.

6. Surfaces: flow of a vector field. Gauss-Green formula. 

Readings/Bibliography

- S.Abenda, S.Matarasso:  Analisi Matematica , progetto Leonardo, Bologna.

- M.Bramanti , C.D.Pagani , S.Salsa : Matematica calcolo infinitesimale e algebra lineare ,   Zanichelli (II edizione).

- Lectures notes. 

Assessment methods

The evalutation of the course consists in a (2-hours) written examination and in an oral examination.

Links to further information

http://www.ciram.unibo.it/~grammati/

Office hours

See the website of Cataldo Grammatico