- Docente: Andrea Bonfiglioli
- Credits: 6
- SSD: MAT/05
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Energy Engineering (cod. 0924)
Learning outcomes
Several real variables: differential and integral calculus; vector field; outline of curves and surfaces in R^2 or R^3.
Course contents
1) R^n: normed space structure, and Euclidean scalar product.
2) Differential calculus in several real variables; applications to optimization.
3) Measure and integration in several variables.
4) Series of real numbers.
5) Curves and line integrals.
6) Vector fields and exactness.
7) Surfaces and surface integrals.
Readings/Bibliography
G.C. Barozzi, G. Dore, E. Obrecht: Elementi di Analisi Matematica, Volume 1, Zanichelli Editore (Bologna), 2009
Teaching methods
Class lessons and exercises. PDF sheets of exercises periodically published online at IOL website.
Assessment methods
Written and oral examinations. A detailed program for the oral part will be published on IOL The written part of the examination will check the knowledge of ALL the topics presented in the exercises, regularly published on IOL website. During the oral examination, the student will be asked at least three theoretical questions (related to theorems, proofs, examples, definitions), presented during the lectures.
Exam dates:
3 exams in June/July;
1 in September; 1 in January; 1 in February.
Teaching tools
Periodically, exercises will be published on-line on IOL website. As for the preparation for the oral examination, at the end of the semester, a very-detailed list of the questions for the oral part will be published in the dedicated IOL website.
Office hours
See the website of Andrea Bonfiglioli