CODE 25897 ACADEMIC YEAR 2021/2022 CREDITS 9 cfu anno 1 STATISTICA MATEM. E TRATTAM. INFORMATICO DEI DATI 8766 (L-35) - GENOVA 9 cfu anno 1 MATEMATICA 8760 (L-35) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/02 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 1° Semester TEACHING MATERIALS AULAWEB AIMS AND CONTENT LEARNING OUTCOMES Provide basic mathematical language. Introduction to abstract algebraic notions by studying the algebra of integers, polynomials in a rational, real, complex or finite coefficient variable and their quotients. Theoretical notions of groups. TEACHING METHODS In presence SYLLABUS/CONTENT Introduction to the basic notions: sets, maps, surjectiive, , injective and bijective. - Binary operation and their properties. Equivalence relations and induced quotients. - Cardinality: countsble and uncountable sets. Permutations. Induction. Newton binomial formula. - The integers: Euclidean algorithm and its applications. Prime numbers and unique factorization. The integers mod n. - Complex numbers. - Polinomials: with rational, real or complex coefficients. Unique factorization property for polynomials. Irreducibility criteria. Quotients and their properties: zero-divisors, nilpotents and invertible elements. - Introduction to algebraic structures. Abelian groups. Subgroups, homomorphisms and quotients. TEACHERS AND EXAM BOARD ALESSANDRO DE STEFANI Ricevimento: By appointment ALDO CONCA Ricevimento: To be decided later on when the general timetable will be fixed. Exam Board ALDO CONCA (President) MARIA EVELINA ROSSI ALESSANDRO DE STEFANI (President Substitute) LESSONS LESSONS START The class will start according to the academic calendar. Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION The exam consists of a written test and an oral exam. Exam schedule Data appello Orario Luogo Degree type Note 18/01/2022 09:00 GENOVA Scritto 20/01/2022 09:00 GENOVA Orale 15/02/2022 09:00 GENOVA Scritto 17/02/2022 09:00 GENOVA Orale 07/06/2022 09:00 GENOVA Scritto 08/06/2022 09:00 GENOVA Orale 04/07/2022 09:00 GENOVA Scritto 05/07/2022 09:00 GENOVA Orale 14/09/2022 09:00 GENOVA Scritto 15/09/2022 09:00 GENOVA Orale