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Università degli Studi di Parma Università degli Studi di Parma
University of Parma
Course catalogue
Università degli Studi di Parma
course catalogue

MATHEMATICS II AND PRACTICAL EXERCISE
cod. 1001385

borrowed from Corso di Laurea in CHIMICA - MATEMATICA II ED ESERCITAZIONI - cod. 1001385
Academic year 2009/10
1° year of course - First semester
Professor
Academic discipline
Geometria (MAT/03)
Field
Discipline matematiche, informatiche e fisiche
Type of training activity
Basic
48 hours
of face-to-face activities
6 credits
hub:
course unit
in
lectures timetable unavailable
exam calls

Integrated course unit module: MATHEMATICS

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Learning objectives

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Prerequisites

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Course unit content

Functionsof two or more variables; limits, continuity. First and second order partial derivatives. Directional derivatives. Differentiable functions. Taylor's formula. Local maxima and minima for functions of two variables. Implicit functions. Dini's theorem. Ordinary differential equations. Ordinary differential equatios. Linear first order differential equations. Initial-value problems. Linear differential equations with costant 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. Languages 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

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Teaching methods

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Assessment methods and criteria

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Other information

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