- Professors:
- Gilardi Gianni, Lisini Stefano
- Year:
- 2015/2016
- Course code:
- 500115
- ECTS:
- 9
- SSD:
- MAT/05
- DM:
- 270/04
- Lessons:
- 84
- Period:
- I semester
- Language:
- Italian

All the basic concepts of Mathematical analysis in several variables and calculus in one variable. Examples from applications to physics and ingeneering.

Lectures at the blackboard.

Oral examination.

Background given by the highschool.

Real and complex numbers.

Complex exponential and related functions.

Sequences and series of numbers or euclidean vectors.

Limits, continuity, differentiability and first order derivatives in several variables.

Tangent vectors and geometric viewpoint of differentiability.

Differentiation rules (jacobian matrix).

Implicit functions.

Maxima and minima in 1D.

Abstract measure and integration theory of Riemann type.

Calculus in 1D.

Divergence and curl in their integral forms (as limits).

Gauss and Stokes theorems (sketch).

Complex exponential and related functions.

Sequences and series of numbers or euclidean vectors.

Limits, continuity, differentiability and first order derivatives in several variables.

Tangent vectors and geometric viewpoint of differentiability.

Differentiation rules (jacobian matrix).

Implicit functions.

Maxima and minima in 1D.

Abstract measure and integration theory of Riemann type.

Calculus in 1D.

Divergence and curl in their integral forms (as limits).

Gauss and Stokes theorems (sketch).

G. Gilardi: "Analisi Matematica di Base", seconda edizione, McGraw-Hill, 2011.

Some material at http://www-dimat.unipv.it/gilardi/WEBGG/analisi1.htm

Some material at http://www-dimat.unipv.it/gilardi/WEBGG/analisi1.htm

- Professor:
- Gilardi Gianni
- Lessons:
- 54
- ECTS:
- 6
- SSD:
- MAT/05

- Professor:
- Lisini Stefano
- Lessons:
- 30
- ECTS:
- 3
- SSD:
- MAT/05

Università degli Studi di Pavia -
Via Ferrata, 5 - 27100 Pavia

Tel +39.0382.985600 - Fax +39.0382.985602