CODE 25897 ACADEMIC YEAR 2016/2017 CREDITS 9 cfu anno 1 MATEMATICA 8760 (L-35) - 9 cfu anno 1 STATISTICA MATEM. E TRATTAM. INFORMATICO DEI DATI 8766 (L-35) - SCIENTIFIC DISCIPLINARY SECTOR MAT/02 LANGUAGE Italiano TEACHING LOCATION SEMESTER 1° Semester TEACHING MATERIALS AULAWEB OVERVIEW Language: Italian AIMS AND CONTENT 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 MARIA EVELINA ROSSI MARIA PIA CAVALIERE Exam Board MARIA EVELINA ROSSI (President) MARIA PIA CAVALIERE MATTEO VARBARO LESSONS LESSONS START September 26, 2016 Class schedule ALGEBRA 1 EXAMS Exam schedule Data appello Orario Luogo Degree type Note 19/06/2017 09:00 GENOVA Scritto 22/06/2017 09:00 GENOVA Orale 13/07/2017 09:00 GENOVA Scritto 18/07/2017 09:00 GENOVA Orale 15/09/2017 09:00 GENOVA Scritto 18/09/2017 09:00 GENOVA Orale FURTHER INFORMATION Attendance: Not required
