CODE 105938 ACADEMIC YEAR 2021/2022 CREDITS 6 cfu anno 1 DESIGN DEL PRODOTTO E DELLA NAUTICA 9274 (L-4) - LA SPEZIA SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italian TEACHING LOCATION LA SPEZIA SEMESTER 1° Semester MODULES Questo insegnamento è un modulo di: MATHEMATICAL ANALYSIS + GEOMETRY TEACHING MATERIALS AULAWEB AIMS AND CONTENT LEARNING OUTCOMES This course aims to provide students with the basic knowledge and tools in preparation for the other courses, which require mathematical notions and methods. AIMS AND LEARNING OUTCOMES By the end of this course, students will be able to study the graph of the functions of one variable, as well as know the properties of the integrals of the functions of one variable. TEACHING METHODS 52 hours of distance lectures until the end of sanitary emergency SYLLABUS/CONTENT 1) Real numbers and the real line. Cartesian coordinates in the plane. Functions and their graphs. Limits and continuity. Theorems about continuous functions. The derivative. Differentiation rules: product, reciprocal, quotient and chain rule. Monotone functions: the inverse function theorem. Derivatives of some elementary functions. Theorems about differentiable functions: Rolle, Lagrange, Cauchy. L’Hopital’s rule. Higher order derivatives. Extreme values, convexity and inflection. Sketching the graph of a function. 2) Integration. Sums and sigma notation. Areas as limits of sums. The definite integral. Properties of the definite integral. The fundamental Theorem of Calculus. Changes of variable: the method of substitution. Areas of plane regions. Integration by parts. Integrals of rational functions. RECOMMENDED READING/BIBLIOGRAPHY R.A. Adams, Calcolo Differenziale 1 Casa Editrice Ambrosiana. TEACHERS AND EXAM BOARD DANILO PERCIVALE Ricevimento: Until the end of the health emergency, a special Teams channel will be set up and students can post their requests. Periodically the teacher will post the answers on Stream VALENTINA BERTELLA Exam Board DANILO PERCIVALE (President) VALENTINA BERTELLA SERGIO DE MICHELI MARIA VIRGINIA CATALISANO (President Substitute) LESSONS LESSONS START https://corsi.unige.it/9274/p/studenti-orario Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS Exam schedule Data appello Orario Luogo Degree type Note 10/01/2022 09:00 LA SPEZIA Scritto 24/01/2022 09:15 GENOVA Scritto 07/02/2022 14:30 LA SPEZIA Scritto 08/06/2022 09:00 LA SPEZIA Scritto 08/07/2022 09:00 LA SPEZIA Scritto 07/09/2022 09:00 LA SPEZIA Scritto