Course catalogue | University of Parma

Professor
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

lectures timetable unavailable

exam calls

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

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

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Bibliography

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

Teaching methods

Frontal lectures and exercises. The exam consists of written and oral tests.

Assessment methods and criteria

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Other information

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MATHEMATICS II cod. 06855

Learning objectives

Prerequisites

Course unit content

Full programme

Bibliography

Teaching methods

Assessment methods and criteria

Other information

MATHEMATICS II
cod. 06855