- Docente: Sergio Venturini
- Credits: 6
- SSD: SECS-S/06
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Statistics, Economics and Business (cod. 6811)
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from Sep 15, 2025 to Oct 15, 2025
Learning outcomes
By the end of the course the student should know the basics of the mathematical analysis of multivariable functions. In particular the student should be able:- to perform multivariable differential calculus and compute partial derivatives - to identify maxima and minima for functions of several variables- to use constrained optimization: method of Lagrange multipliers- to compute multiple integrals
Course contents
Basic properties of the Euclidean space. Partial derivatives and differentiable functions. Critical points. Derivation of composite functions. Multivariate Taylor’s formula. Hessian matrices. Critical points analysis. Implicit functions: Dini’s theorem. Submanifold of the Euclidean space . Critical points on submanifolds.
Readings/Bibliography
Material provided by the teacher
Teaching methods
Frontal lessons
Assessment methods
The examination consists of an oral examination. Will occur 'the student's competency both in terms of acquisition of concepts and methods, with application to concrete cases.
Teaching tools
Software "maxima"
Office hours
See the website of Sergio Venturini