CODE 106836 ACADEMIC YEAR 2021/2022 CREDITS 9 cfu anno 1 ECONOMICS AND DATA SCIENCE 11267 (LM-56) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR SECS-S/06 LANGUAGE English TEACHING LOCATION GENOVA SEMESTER 1° Semester MODULES Questo insegnamento è un modulo di: MATHEMATICS FOR ECONOMICS AND DATA SCIENCE 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 SALVATORE FEDERICO Ricevimento: Office hours: Tuesday 10-30 - 12.30 on Teams Exam Board SALVATORE FEDERICO (President) ANTONIO LUCIANO MARTIRE MARIA LAURA TORRENTE (President Substitute) LESSONS LESSONS START September 2021 Class schedule The timetable for this course is available here: Portale EasyAcademy 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 Data appello Orario Luogo Degree type Note 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.