CODE 106836 ACADEMIC YEAR 2023/2024 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 provide the mathematical tools needed to successfully attend the other courses of the Master program. Specifically, the course: i) will integrate topics from the undergraduate course of Math, notably integration theory and linear algebra; ii) will introduce the student to differential calculus for functions of several variables and to the unconstrained optimization of such functions; iii) will introduce the students to the formalism of difference and differential equations and dynamical systems. Special attention will be devoted to examples based on economic models. 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. Knowledge and understanding: The students must learn the main mathematcal techniques for the optmization and the description of dynamical systems. Ability to apply knowledge and understanding: The students must be able to model and solve mathematical problems of static optimization and dynamical system in the field of social sciences. Making judgments: The students must be able to use the acquired knowledge with an autonomous evaluating assessment. Communication skills: Students must be able to use the correct technical language for the communication of the results and for the description of the techniques. Learning skills: Students will develop adequate learning skills in order to continue with further studies about other aspects of the subject and different fields of application than those illustrated. PREREQUISITES Calculus and optimization in one variable and basic notions of linear algebra. TEACHING METHODS The course will be taught by frontal lectures. SYLLABUS/CONTENT Advandced topics in linear algebra Advanced topics in integration theory and applications to Economics Calculus in several variables and optimization Constrained optimization and applications to Economic 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 - Knut Sydsaeter, Peter Hammond, Atle Seierstad, Arne Strom, "Further mathematics for Economic Analysis" (2nd edition), Pearson TEACHERS AND EXAM BOARD MARIA LAURA TORRENTE Ricevimento: Office hours: will be communicated at the beginning of the semester MAURO ROSESTOLATO Exam Board MARIA LAURA TORRENTE (President) MAURO ROSESTOLATO LESSONS LESSONS START September 2023 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 08/01/2024 14:00 GENOVA Scritto 22/01/2024 14:00 GENOVA Scritto 06/02/2024 14:00 GENOVA Scritto 29/05/2024 11:00 GENOVA Scritto 12/06/2024 11:00 GENOVA Scritto 10/07/2024 11:00 GENOVA Scritto 11/09/2024 11:00 GENOVA Scritto FURTHER INFORMATION Other information will be provided during the course. For non-attending students the same rules apply. Students with DSA certification ("specific learning disabilities"), disability or other special educational needs are advised to contact the teacher at the beginning of the course to agree on teaching and examination methods that, in compliance with the teaching objectives, take account of individual learning arrangements and provide appropriate compensatory tools. Agenda 2030 - Sustainable Development Goals Quality education Gender equality Decent work and economic growth