- Docente: Marco Mughetti
- Crediti formativi: 6
- SSD: MAT/05
- Lingua di insegnamento: Inglese
- Modalità didattica: Convenzionale - Lezioni in presenza
- Campus: Ravenna
- Corso: Laurea in Building Construction Engineering (cod. 5897)
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dal 21/02/2023 al 09/06/2023
Conoscenze e abilità da conseguire
Through the course the student learns the basic results as well as the basic tools of advanced calculus. At the end of the course, he/she masters the notions of partial derivatives, differentiability and integrability for functions of several real variables. He/She will be able to apply this knowledge to the study of many problems posed by pure and applied sciences.
Contenuti
Introduction to functions in several variables: topology of R^n, euclidean scalar product, differential calculus, extrema of a function: min, max and saddle points, the tangent plane.
Riemann integral of a function: definition, integration on normal domains.
Curves in R^n, line integrals: the work of a vector field; closed and exact differential forms. Conservative vector fields.
Ordinary differential equations: linear differential equations of first and second order; the corresponding Cauchy problem.Metodi didattici
Theory and exercises
Modalità di verifica e valutazione dell'apprendimento
Written and oral exams
Strumenti a supporto della didattica
Blackboard, video and pc
Orario di ricevimento
Consulta il sito web di Marco Mughetti