Scheda programma d'esame
ILARIA DEL CORSO
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KnowledgeStudents are expected to acquire the ability to make proof by induction, to solve congruences and to handle polynomials; a solid basic knowledge of counting; a very neat knowledge of the basic properties of groups, rings and finite field theory.
Assessment criteria of knowledgeIn the written exam (2,5/3 hours) the student is required to solve 3 or 4 exercises of different difficulty. The aim is to test the knowledge of the student of the course material and of its capability ti apply it to concrete examples. During the oral exam the student must be able to demonstrate his/her knowledge of the course material and to give precise and neat proofs of the main results. The student is also asked to examine in detail specific instances where the theory can be applied.
- Final oral exam
- Final written exam
- Periodic written tests
Delivery: face to face
- attending lectures
- individual study
- Task-based learning/problem-based learning/inquiry-based learning
SyllabusInduction, arithmetic of rational integers and congruences. Basic properties properties of groups, rings and fields; homomorphisms. Polynomials, factorization and Gauss Lemma. Quotients of polynomials in one variable and finite fields.
BibliographyB. Scimemi, Algebretta, Ed. Decibel (Zanichelli); L. Childs, ALGEBRA, un'introduzione concreta, ETS Editrice; I.N. Herstein Algebra, Editori Riuniti. P. Di Martino, Algebra, Edizioni Plus, Universita' di Pisa.
Ultimo aggiornamento 14/11/2016 17:27