- Docente: Giacomo Bormetti
- Credits: 8
- SSD: SECS-S/06
- Language: English
- Teaching Mode: Traditional lectures
- Campus: Forli
- Corso: First cycle degree programme (L) in Economics and business (cod. 9202)
Learning outcomes
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.
Course contents
Course contents
Linear Algebra:
- Linear systems.
- Matrices.
- Linear dependence.
- The Gauss-Jordan reduction method.
- Determinants.
- 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
Readings/Bibliography
K. Sydsaeter, P. Hammond, and A. Strom
Essential Mathematics for Economic Analysis
4th Edition, Pearson 2012
Teaching methods
Lectures and excercises at the blackboard.
Assessment methods
Partial written exams, according to the academic terms. As an alternative, cumulative written exam.
Office hours
See the website of Giacomo Bormetti
SDGs
This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.