CODE 91034 ACADEMIC YEAR 2020/2021 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 2020/2021) ENGINERING GEOLOGY AND ENVIRONMENTAL LEGISLATION 62223 Earth Sciences 8763 (coorte 2020/2021) GEOLOGICAL MAPPING 80250 Earth Sciences 8763 (coorte 2020/2021) ELEMENTS OF GEORESOURCES 61663 Earth Sciences 8763 (coorte 2020/2021) ENGINERING GEOLOGY AND HYDROGEOLOGY 62222 Earth Sciences 8763 (coorte 2020/2021) INTRODUCTION TO GEOLOGICAL MAPS 80251 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2020/2021) ENVIRONMENTAL APPLIED PHYSICS 84044 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2020/2021) PHYSICS 104559 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2020/2021) DATA ANALYSIS LABORATORY 84092 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2020/2021) MONITORING AND MANAGING ENVIRONMENTAL DATA 84093 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 19/01/2021 14:00 GENOVA Scritto + Orale 09/02/2021 14:00 GENOVA Compitino 22/06/2021 14:00 GENOVA Scritto + Orale 06/07/2021 14:00 GENOVA Scritto + Orale 20/07/2021 14:00 GENOVA Scritto + Orale 14/09/2021 14:00 GENOVA Scritto + Orale