Teacher

prof.ssa Roberta MUSINA

Credits

3 CFU

Language

Italian

Objectives

The course deals with the foundations of Mathematical regarding differential and integral calculus for functions of several variables, differential equations and series of functions. In addition to providing computing techniques, the aim of the course is to provide the scientific mentality, that is needed to successfully apply mathematical tools in solving engineering problem.

Acquired skills

- Ordinary differential equations. The qualitative theory. The Cauchy problem.
- Linear partial differential equations of 2nd order and applications.

Lectures and exercises (topics and specific content)

Ordinary differential equations: local and global solutions, qualitative theory; existence theorem for Lipschitz continuous nonlinearities; Hamiltonian systems (20 hours).
Partial differential equations: linear 2nd order for the laplacian, heat and waves operators; harmonic maps; introduction to the Calculus of Variations (10 hours).
Exercises (10 hours).
Labs (6 hours).

References

- N. Fusco, P. Marcellini, C. Sbordone - Elementi di Analisi Matematica Due - Liguori Ed.

Type of exam

Written and oral

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