37292 - Mathematics

Course Unit Page

SDGs

This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.

Quality education

Academic Year 2019/2020

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.
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

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