CODE 60503 ACADEMIC YEAR 2022/2023 CREDITS 6 cfu anno 2 8721 (L-9) - LA SPEZIA SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italian TEACHING LOCATION LA SPEZIA SEMESTER 1° Semester PREREQUISITES Propedeuticità in ingresso Per sostenere l'esame di questo insegnamento è necessario aver sostenuto i seguenti esami: INGEGNERIA E DESIGN PER LA NAUTICA 10134 (coorte 2021/2022) MATHEMATICS + GEOMETRY 56973 2021 MODULES Questo insegnamento è un modulo di: MATHEMATICAL ANALYSIS + MATHEMATICAL PHYSICS TEACHING MATERIALS AULAWEB OVERVIEW The course is directed to second year students which are familiar with basic notions in Calculus and Analytical Geometry. AIMS AND CONTENT LEARNING OUTCOMES Provide basic concepts and more specific mathematical tools to better understand the contents of some nautical engineering courses . AIMS AND LEARNING OUTCOMES The course provides basic notions about Functions of two variables, integration of continuous functions and ODE’s in view of applications in Physics and Nautic Engineering. PREREQUISITES Basic notions in Calculus and Analytical Geometry. TEACHING METHODS 60 hours of distance lectures until the end of sanitary emergency. Subsequently frontal lectures in a classroom SYLLABUS/CONTENT 1) Functions of two variables. Limits and Continuity. Partial Derivatives. Higher order derivatives. Schwartz Theorem. The Chain rule. Differentiability and Differentials. Gradient and directional derivatives. Taylor’s formula .Implicit functions. Extreme values. 2) Double integrals. Iteration of double integrals.Change of variables in double integrals. The surface area of a graph. Moments and centers of mass. Moments of inertia. 3) Vector fields.Conservative fields. Line integrals of vector fields. Gauss-Green Formula RECOMMENDED READING/BIBLIOGRAPHY R.A. Adams, Calcolo Differenziale 1 e Calcolo Differenziale 2 Casa Editrice Ambrosiana. Notes & Exercises in aulaweb ( a.a. 10/11 and the following) 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 Ricevimento: Write me an e-mail email@example.com Exam Board DANILO PERCIVALE (President) VALENTINA BERTELLA (President Substitute) STEFANO VIGNOLO (President Substitute) LESSONS LESSONS START https://corsi.unige.it/8721/p/studenti-orario Class schedule MATHEMATICAL ANALYSIS 2 EXAMS EXAM DESCRIPTION A written test is required which could be followed by another confirmation test whenever professor considers it necessary. ASSESSMENT METHODS Outcome of written test and its possible confirmation. Exam schedule Data Ora Luogo Degree type Note 18/01/2023 09:00 LA SPEZIA Scritto 14/02/2023 09:00 LA SPEZIA Scritto 08/06/2023 09:00 LA SPEZIA Scritto 04/07/2023 09:00 LA SPEZIA Scritto 04/09/2023 09:00 LA SPEZIA Scritto FURTHER INFORMATION Professor will receive students by appointment.