MATHEMATICS II
cod. 06855

Academic year 2008/09
1° year of course - Second semester
Professor
Alberto VEZZANI
Academic discipline
Geometria (MAT/03)
Field
Formazione interdisciplinare
Type of training activity
Related/supplementary
36 hours
of face-to-face activities
4 credits
hub: -
course unit
in

Integrated course unit module: MATHEMATICS I-MATHEMATICS II

Learning objectives

Completes the mathemathical work begun in the MATHEMATICS I course, providing students additional skills useful in understanding how mathematics may be applied to the other subjects in the degree course.

Prerequisites

Mathematics I

Course unit content

<br />Implicit functions. Dini's theorem. Ordinary differential equations. Linear first order diffential equations. Initial-value problems. Linear differential equations with constant coefficients. Simple numerical methods of integration. Parametric representations of curves and surfaces. Regular curves and surfaces. Line integrals. Vector fields. Conservative fields and potential functions. Language of differential forms. Double integrals, triple integrals and surface integrals. Flow of a vector field through a surface. Divergence theorem. Power series. Complex exponential function. Euler's formulas. Vector spaces. Linear transformations. Eigenvalues and eigenvectors. Diagonalisation of square matrices.

Full programme

- - -

Bibliography

<br />M. Bramanti, C.D. Pagani, S. Salsa, MATEMATICA (Calcolo infinitesimale e Algebra Lineare), Zanichelli, Bologna, 2004.<br />M. Bertsch, Istituzioni di Matematica, Bollati Boringhieri, Torino.<br />G. Zwirner, Istituzioni di Matematiche (parti 1^ e 2^), Cedam, Padova.

Teaching methods

<br />Frontal lectures and exercises.<br />The exam consists of written and oral tests.

Assessment methods and criteria

- - -

Other information

- - -

2030 agenda goals for sustainable development

- - -