CALCULUS 2
cod. 1006138

Academic year 2015/16
2° year of course - Second semester
Professor
Emilio Daniele Giovanni ACERBI
Academic discipline
Analisi matematica (MAT/05)
Field
Matematica, informatica e statistica
Type of training activity
Basic
42 hours
of face-to-face activities
6 credits
hub: PARMA
course unit
in - - -

Learning objectives

Knowledge and understanding of the basic symbols and vocabulary concerning functions of several variables, and of the relevant theorems in the field.
Ability to apply the knowledge acquired to solve simple practical problems, and to understand the mathematical machinery employed in non-mathematical courses.

Prerequisites

Mathematical analysis 1, Geometry and linear algebra

Course unit content

Elements of differential calculus in several variables and ordinary differential equations

Full programme

Fundamental graphs: line, plane, sphere, ellipsoid, paraboloid, saddle, cylinder, cone.
Curves: velocity, length, integral, work.
Continuity and differentiability.
Free and constrained extrema, Lagrange multipliers.
Ordinary differential equations; linear equations of first and second order; equations with separable variables.
Multiple integrals and surface integrals.

Bibliography

E. Acerbi e G. Buttazzo, Secondo corso di analisi matematica, ed. Pitagora, Bologna 2016

Teaching methods

Frontal lectures with exemples (2/3), exercises (1/3)

Assessment methods and criteria

Final exam, with three easy theoretical/practical questions and three exercises

Other information

All information on the course may be found at http://calcvar.unipr.it/Didattica/analisi2.html

2030 agenda goals for sustainable development

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Contacts

Toll-free number

800 904 084

Student registry office

E. segreteria.ingarc@unipr.it
T. +39 0521 905111

Quality assurance office

Education manager:
Lucia Orlandini

T.+39 0521 906542
Office E. dia.didattica@unipr.it
Manager E. lucia.orlandini@unipr.it
 

President of the degree course

Barbara Bigliardi
E. barbara.bigliardi@unipr.it

Faculty advisor

Fabrizio Moroni
E. fabrizio.moroni@unipr.it

Career guidance delegate

Fabrizio Moroni
E. fabrizio.moroni@unipr.it

Tutor professor

Fabrizio Moroni
E. fabrizio.moroni@unipr.it