- Docente: Marco Mughetti
- Credits: 6
- SSD: MAT/05
- Language: English
- Teaching Mode: Traditional lectures
- Campus: Ravenna
- Corso: First cycle degree programme (L) in Building Construction Engineering (cod. 5897)
-
from Feb 21, 2023 to Jun 09, 2023
Learning outcomes
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.
Course contents
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.
Teaching methods
Theory and exercises
Assessment methods
Written and oral exams
Teaching tools
Blackboard, video and pc
Office hours
See the website of Marco Mughetti