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MATHEMATICS FOR ECONOMICS AND DATA SCIENCE 1

CODE 106836
ACADEMIC YEAR 2021/2022
CREDITS
  • 15 cfu during the 1st year of 11267 ECONOMICS AND DATA SCIENCE (LM-56) - GENOVA
  • SCIENTIFIC DISCIPLINARY SECTOR SECS-S/06
    LANGUAGE English
    TEACHING LOCATION
  • GENOVA
  • SEMESTER 1° Semester
    MODULES This unit is a module of:
    TEACHING MATERIALS AULAWEB

    OVERVIEW

    The aim of the course is to provide the student with the knowledge of advanced mathematical methods to successfully deal with economic models from a quantitative viewpoint.

    AIMS AND CONTENT

    LEARNING OUTCOMES

    The course will integrate the basic math knowledge acquired in the bachelor program treating: advances topics of linear algebra; elements of calculus and static optimization in several variables; an introduction to the theory of dynamic models through difference and differential equations.

    AIMS AND LEARNING OUTCOMES

    At the end of the course, the student will be able to deal, autonomously and properly, with the learned mathematical topics and apply them to economic problems with the needed methodological rigor.

    PREREQUISITES

    Calculus and optimization in one variable and basic notions of linear algebra.

    TEACHING METHODS

    The course will be taught by frontal lectures. During the a.y. 2021/22 the lectures might be in blended mode.

    SYLLABUS/CONTENT

    • Linear algebra: recalls of basic notions (vectors, matrices, determinant, inversion of square matrix), eigenvalues and eigenvectors, quadratic forms and signature, diagonalization, generalized inverse.
    • Differential calculus in several variables and optimization: partial derivatives, gradient, Hessian, stationary points and their classification; unconstrained and constrained optimization; implicit function theorem.
    • Introduction to differential and difference equations: recall of the notion of indefinite integral, solution of linear equations, applications to dynamic models in economics.

    RECOMMENDED READING/BIBLIOGRAPHY

    - Simon, C., Blume, L.: Mathematics for Economists (1994), Norton and Company

    - Peccati, L., D'Amico, M., Cigola, M. : Maths for Social Sciences (2018), Springer

    TEACHERS AND EXAM BOARD

    Exam Board

    SALVATORE FEDERICO (President)

    ANTONIO LUCIANO MARTIRE

    MARIA LAURA TORRENTE (President Substitute)

    LESSONS

    LESSONS START

    September 2021

    Class schedule

    All class schedules are posted on the EasyAcademy portal.

    EXAMS

    EXAM DESCRIPTION

    The exam will be written and will contain questions on the the theoretical and modeling features treated in the course as well as exercises.

    ASSESSMENT METHODS

    The  exam will evaluate the understanding of the contents of the course with the goal of assessing the reached skill of applying the tools and the methods learned in an economic perspective.

    Exam schedule

    Date Time Location Type Notes
    11/01/2022 12:00 GENOVA Scritto
    25/01/2022 12:00 GENOVA Scritto
    08/02/2022 12:00 GENOVA Scritto
    06/06/2022 14:00 GENOVA Scritto
    20/06/2022 14:00 GENOVA Scritto
    18/07/2022 14:00 GENOVA Scritto
    08/09/2022 14:00 GENOVA Scritto

    FURTHER INFORMATION

    Other information will be provided during the course. For non-attending students the same rules apply.