37292 - MATHEMATICS

Anno Accademico 2019/2020

  • Docente: Giacomo Bormetti
  • Crediti formativi: 8
  • SSD: SECS-S/06
  • Lingua di insegnamento: Inglese
  • Modalità didattica: Convenzionale - Lezioni in presenza
  • Campus: Forli
  • Corso: Laurea in Economia e commercio (cod. 9202)

Conoscenze e abilità da conseguire

The course aims at giving the student a basic knowledge of differential and integral calculus, and linear algebra for the study of economics, financel and statistical analysis. By the end of the course students have the ability to perform basic operations with vectors and matrices, to compute determinants, and to solve linear systems. As far as calculus is concerned, they can apply the methods of differential and integral calculus to plot the graph of functions, to compute the area of plane domains, and to find and classify critical points of functions of two variables.

Contenuti

Course contents

Linear Algebra:

  • Linear systems.
  • Matrices.
  • Linear dependence.
  • The Gauss-Jordan reduction method.
  • Determinants.
Differential and integral calculus:
  • Functions.
  • The system of real numbers.
  • Limits and continuity.
  • Differentiability and rules of calculus of derivatives. Applications to the monotonicity and convexity.
  • Riemann integral, the fundamental theorem of the integral calculus. Primitives. Integration methods.
  • Generalized integral.
  • Optimization in R^2

Testi/Bibliografia

K. Sydsaeter, P. Hammond, and A. Strom

Essential Mathematics for Economic Analysis

4th Edition, Pearson 2012

Metodi didattici

Lectures and excercises at the blackboard.

Modalità di verifica e valutazione dell'apprendimento

Partial written exams, according to the academic terms. As an alternative, cumulative written exam.

Orario di ricevimento

Consulta il sito web di Giacomo Bormetti

SDGs

Istruzione di qualità

L'insegnamento contribuisce al perseguimento degli Obiettivi di Sviluppo Sostenibile dell'Agenda 2030 dell'ONU.