- Docente: Marco Lenci
- Credits: 4
- SSD: MAT/05
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Cesena
- Corso: Single cycle degree programme (LMCU) in Architecture (cod. 0881)
Learning outcomes
At the end of the course, the student is familiar with the basic tools of differential and integral calculus for functions of several variables and knows the most elementary methods for the solution of linear differential equations of second order. In particular, the student will be able to complete standard tasks related to differential and integral calculus for several variables (e.g., computation of free and constrained maxima and minima, the length of a curve, volumes, etc.), and solve certain second-order differential equations.
Course contents
Differential calculus for vector-valued functions of one real variable. Length of a curve. Differential and integral calculus for real-valued functions of more real variables. Free and constrained maxima and minima. Areas and volumes. Elementary methods for the solution of linear differential equations of the second order.
Readings/Bibliography
A good reference book, which however cannot replace a good set of notes from the class, is:
- M. Bramanti, C. D. Pagani, S. Salsa, "Matematica: calcolo infinitesimale e algebra lineare", 2nd ed., Zanichelli, 2004
A useful companion book for the exercises is:
- S. Salsa, A. Squellati, "Esercizi di matematica: calcolo infinitesimale. VOLUME 2", Zanichelli, 2002
Teaching methods
Classroom lectures
Assessment methods
2-hour long written exam, comprising mainly (but not exclusively) exercises.
Office hours
See the website of Marco Lenci