CODE 91034 ACADEMIC YEAR 2019/2020 CREDITS 9 cfu anno 1 SCIENZE AMBIENTALI E NATURALI 9916 (L-32) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/02 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER Annual PREREQUISITES Propedeuticità in uscita Questo insegnamento è propedeutico per gli insegnamenti: Earth Sciences 8763 (coorte 2019/2020) INTRODUCTION TO GEOLOGICAL MAPS 80251 Earth Sciences 8763 (coorte 2019/2020) ENGINERING GEOLOGY AND HYDROGEOLOGY 62222 Earth Sciences 8763 (coorte 2019/2020) ENGINERING GEOLOGY AND ENVIRONMENTAL LEGISLATION 62223 Earth Sciences 8763 (coorte 2019/2020) GEOLOGICAL MAPPING 80250 Earth Sciences 8763 (coorte 2019/2020) ELEMENTS OF GEORESOURCES 61663 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2019/2020) ECOLOGICAL DATA ANALYSIS AND EXERCISES 84046 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2019/2020) ENVIRONMENTAL APPLIED PHYSICS 84044 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2019/2020) MONITORING AND MANAGING ENVIRONMENTAL DATA 84093 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2019/2020) DATA ANALYSIS LABORATORY 84092 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2019/2020) PHYSICS 72718 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 FABIO DI BENEDETTO Ricevimento: Reception hours: 13-14 on lesson days, prior to email confirmation. Exam Board ANNA MARIA BIGATTI (President) FABIO DI BENEDETTO ENRICO ALBERTO SIDERI 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 21/01/2020 09:30 GENOVA Scritto + Orale 10/02/2020 14:30 GENOVA Compitino 08/06/2020 09:00 GENOVA Scritto 16/06/2020 14:30 GENOVA Scritto + Orale 30/06/2020 14:30 GENOVA Scritto + Orale 21/07/2020 14:30 GENOVA Scritto + Orale 15/09/2020 14:30 GENOVA Scritto + Orale