CODE 104810 ACADEMIC YEAR 2024/2025 CREDITS 6 cfu anno 1 INGEGNERIA INFORMATICA 8719 (L-8) - GENOVA 6 cfu anno 1 INGEGNERIA ELETTRONICA E TECNOLOGIE DELL'INFORMAZIONE 9273 (L-8) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italian (English on demand) TEACHING LOCATION GENOVA SEMESTER 1° Semester TEACHING MATERIALS AULAWEB OVERVIEW The aim of the course is to provide the basic elements of differential calculus for functions of one variable AIMS AND CONTENT LEARNING OUTCOMES The purpose is to acquire the knowledge of concepts and methods of calculus concerning numerical sequences and series, differential and integral calculus in one variable, ordinary differential equations. AIMS AND LEARNING OUTCOMES The main expected learning outcomes are to master the mathematical notation the knowledge of the properties of the main elementary functions the ability to follow the logical concatenation of arguments to master simple demonstration techniques the ability to solve exercises, discussing the reasonableness of the results Transversal skills: Literacy (basic level): Ability to communicate effectively in written and oral form, adaptation of one's communication to the context, use of sources and aids of various kind PREREQUISITES Numerical sets, equations and inequalities, analytical geometry in the plane, goniometry and trigonometry, elements of set theory. TEACHING METHODS Lecture classes and exercise classes. For the transversal skills, a problems solving based approach will be used. We advice working students and students with dysfunctionalities or disabilities or other special educational needs to contact the professor at the beginning of the course in order to devise an adequate teaching method and exams, which are in line with the learning outcomes as well as the individual learning skills. SYLLABUS/CONTENT Real numbers, the oriented real line. The Cartesian plane, graphs of elementary functions. Operations on functions and their graphical interpretation. Monotonicity. Composition and inversion. Powers, exponentials and logarithms. Supremum and infimunm. Numerical sequences: the basic notions and examples. Limits of functions. Infinitesimal and infinite functions. Continuous functions and their local and global properties. Derivatives and derivation rules. Derivatives of elementary functions. Sign of derivatives in the study of monotonicity and convexity. The classical theorems of Rolle, Cauchy, Lagrange and de l'Hôpital. Study of the graph of functions. Taylor expansions and theoir applications. RECOMMENDED READING/BIBLIOGRAPHY C. Canuto, A. Tabacco, Analisi Matematica 1, 4a edizione, Springer-Verlag Italia, 2014, M. Baronti, M., F. De Mari, R. van der Putten, I. Venturi, Calculus Problems, Springer International Publishing Switzerland, 2016 TEACHERS AND EXAM BOARD SIMONE DI MARINO Ricevimento: The teacher is available for explanations one afternoon a week: Wednesday froma 2pm to 4pm. LAURA CAPELLI Exam Board SIMONE DI MARINO (President) LAURA CAPELLI MARCO BARONTI (President Substitute) ANDREA BRUNO CARBONARO (President Substitute) CLAUDIO ESTATICO (President Substitute) EDOARDO MAININI (President Substitute) LESSONS LESSONS START September 2024: https://easyacademy.unige.it/portalestudenti/index.php?view=easycourse&_lang=it&include=corso Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION The exam consists of Multiple choice test Written exam To enroll the exam you must register by the deadline on the website https://servizionline.unige.it/studenti/esami/prenotazione Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities. ASSESSMENT METHODS Multiple choice tests. It is aimed to verify the student's ability to manage mathematical notation and to carry out simple computations and simple deductive reasoning. It is necessary to be successful in the multiple choice test in order to access the written exam Written exam. This part includes open questions and exercises. It is aimed to verify the knowledge of the main tools of differential calculus. The written exam consists of exercises with several questions of different difficulty. The student must be able to solve the exercises correctly and to justify the necessary steps to obtain the final result, and to use the correct formalism. Exam schedule Data appello Orario Luogo Degree type Note 22/01/2025 14:00 GENOVA Scritto 07/02/2025 08:00 GENOVA Scritto 17/06/2025 08:00 GENOVA Scritto 16/07/2025 08:00 GENOVA Scritto 05/09/2025 08:00 GENOVA Scritto Agenda 2030 - Sustainable Development Goals Quality education OpenBadge PRO3 - Soft skills - Alfabetica base 1 - A