CODE 91034 ACADEMIC YEAR 2022/2023 CREDITS 9 cfu anno 1 SCIENZE AMBIENTALI E NATURALI 9916 (L-32) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/02 TEACHING LOCATION GENOVA SEMESTER Annual PREREQUISITES Propedeuticità in uscita Questo insegnamento è propedeutico per gli insegnamenti: Earth Sciences 8763 (coorte 2022/2023) ENGINERING GEOLOGY AND HYDROGEOLOGY 62222 Earth Sciences 8763 (coorte 2022/2023) INTRODUCTION TO GEOLOGICAL MAPS 80251 Earth Sciences 8763 (coorte 2022/2023) FIELD GEOLOGY 1 80250 Earth Sciences 8763 (coorte 2022/2023) ENGINERING GEOLOGY AND ENVIRONMENTAL LEGISLATION 62223 Earth Sciences 8763 (coorte 2022/2023) ELEMENTS OF GEORESOURCES 61663 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2022/2023) PHYSICS 104559 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2022/2023) ENVIRONMENTAL APPLIED PHYSICS 84044 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2022/2023) INFORMATIC SKILLS 84031 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2022/2023) MONITORING AND MANAGING ENVIRONMENTAL DATA 84093 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2022/2023) DATA ANALYSIS LABORATORY 84092 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2022/2023) ECOLOGICAL DATA ANALYSIS AND EXERCISES 84046 TEACHING MATERIALS AULAWEB OVERVIEW The aim of this course is to establish the essential mathematical foundations necessary for the language of science. More specifically, this course presents the basic concepts and methods of linear algebra, geometry and calculus. AIMS AND CONTENT SYLLABUS/CONTENT Overview of elementary set theory. Brief introduction to vectors and analytic geometry in 2 and 3 dimensions. Overview of complex numbers and polynomials (divisibility and roots). Functions. Graphs of elementary functions. Function composition. Inverse functions. Concept of limit. Continuous functions. Concept of the derivative, and rules for finding the derivative. Higher derivatives and their geometrical interpretation. Real-valued functions and their graphs. Definite integrals and the area of planar regions. Brief introduction to differential equations. The indefinite integral of a function. Integrals of elementary functions. Matrices and their operations; determinants and matrix inverse. Linear systems; gaussian reduction. Overview of numerical stability. Overview of combinatorics. TEACHERS AND EXAM BOARD ANNA MARIA BIGATTI Ricevimento: Reception hours: before and after lessons, or upon request by email/Teams. FABIO DI BENEDETTO Ricevimento: Reception hours: 13-14 on lesson days, prior to email confirmation. Exam Board ANNA MARIA BIGATTI (President) FABIO DI BENEDETTO (President Substitute) LESSONS Class schedule ELEMENTS OF MATHEMATIC EXAMS EXAM DESCRIPTION Written and oral exam ASSESSMENT METHODS Detailed description on: http://www.dima.unige.it/~bigatti/ElemMat/modalita-esame.html Exam schedule Data appello Orario Luogo Degree type Note 17/01/2023 14:00 GENOVA Scritto + Orale 24/02/2023 14:00 GENOVA Compitino 20/06/2023 14:00 GENOVA Scritto + Orale 04/07/2023 14:00 GENOVA Scritto + Orale 18/07/2023 14:00 GENOVA Scritto + Orale 18/09/2023 14:00 GENOVA Scritto + Orale OpenBadge PRO3 - Soft skills - Alfabetica avanzato 1 - A PRO3 - Soft skills - Personale avanzato 1 - A PRO3 - Soft skills - Sociale base 1 - A PRO3 - Soft skills - Imparare a imparare base 1 - A PRO3 - Soft skills - Imparare a imparare avanzato 1 - A PRO3 - Soft skills - Creazione progettuale base 1 - A PRO3 - Soft skills - Sociale avanzato 1 - A