Mathematics | University of Parma

Professor
Academic discipline: Analisi matematica (MAT/05)
Field: Formazione teorica
Type of training activity: Characterising

48 hours
of face-to-face activities

6 credits

hub: PARMA

course unit
in - - -

lectures timetable unavailable

exam calls

Integrated course unit module: CALCULUS 2

Learning objectives

To provide the basic knowledge about implicit functions, sequencs and series of functions, ordinary differential equations.

Prerequisites

Mathematical Analysis I and Mathematical Analysis 2, 1° module.

Course unit content

Implicit functions. The inverse function Theorem. Extremum problems with side conditions.

Sequences and series of functions. Pointwise and uniform convergence. Total convergence of series of functions. Power series. Taylor series. Fourier series.

Ordinary differential equations (ODE). The Cauchy problem. Local existence and uniqueness theorem. Extension of the solutions. Solutions of some type of first order ODE. Linear equations.

Full programme

Bibliography

M. Fusco, P:Marcellini, C. Sbordone, Analisi Matematica due, ed. Liguori.
M: Bramanti, C.D. Pagani, S.Salsa, Analisi matematica 2, ed. Zanichelli

Teaching methods

Oral lessons with check of understanding.

Assessment methods and criteria

Written and oral examination

Other information

- - -

CALCULUS 2 PART. 2 cod. 1003932