CODE 91034 ACADEMIC YEAR 2016/2017 CREDITS 9 cfu anno 1 SCIENZE AMBIENTALI E NATURALI 9916 (L-32) - 9 cfu anno 1 SCIENZE GEOLOGICHE 8763 (L-34) - SCIENTIFIC DISCIPLINARY SECTOR MAT/02 LANGUAGE Italiano TEACHING LOCATION SEMESTER Annual PREREQUISITES Propedeuticità in uscita Questo insegnamento è propedeutico per gli insegnamenti: Earth Sciences 8763 (coorte 2016/2017) FIELD GEOLOGY AND GEOLOGICAL MAPS – MOD. 1 80250 Earth Sciences 8763 (coorte 2016/2017) FIELD GEOLOGY AND GEOLOGICAL MAPS – MOD. 2 80251 Earth Sciences 8763 (coorte 2016/2017) APPLIED GEOPHYSICS 61664 Earth Sciences 8763 (coorte 2016/2017) ENGINERING GEOLOGY AND ENVIRONMENTAL LEGISLATION (2° MOD.) 62223 Earth Sciences 8763 (coorte 2016/2017) GEOGRAPHIC INFORMATION SYSTEMS 65849 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2016/2017) ENVIRONMENTAL APPLIED PHYSICS 84044 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2016/2017) FUNDAMENTALS OF DATA ANALYSIS (MOD.1) 84093 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2016/2017) PHYSICS 72718 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 GRAZIA TAMONE ENRICO ALBERTO SIDERI Exam Board ANNA MARIA BIGATTI (President) ENRICO ALBERTO SIDERI GRAZIA TAMONE LESSONS Class schedule ELEMENTI DI MATEMATICA 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 13/06/2017 09:30 GENOVA Scritto + Orale 04/07/2017 09:30 GENOVA Scritto + Orale 18/07/2017 09:30 GENOVA Scritto + Orale 12/09/2017 09:30 GENOVA Scritto + Orale