Algebraic Structures

Uitgebreide vaknaam	Algebraic Structures
Leerdoelen	At the end of the course, the student is able to: 1. This course unit aims to provide students with knowledge and understanding of the abstract notions ‘ring’ and ‘field’. The student is able to recognize, analyse, and calculate with examples. 2. acquire skills in reproducing and designing proofs relevant in this theory.
Omschrijving	The course introduces rings, ideals and homomorphisms, plus field theory (finite fields, extensions, automorphisms). These are the underlying structures used in, e.g., number theory and the theory of polynomials.
Uren per week
Onderwijsvorm	Hoorcollege (LC), Opdracht (ASM), Werkcollege (T)
Toetsvorm	Opdracht (AST), Schriftelijk tentamen (WE) (Written exam (WE) and Homework (HW). Final Grade= WE grade. For students with a passing grade (5.5) on the WE, Final Grade = Max ( WE , 0.25 Homework + 0.75 Written Exam)). For the resit, the HW will not count. The grade for those that take the resit will be 100% the resit grade.)
Vaksoort	bachelor
Coördinator	Prof. Dr. C. Salgado Guimarães da Silva
Docent(en)	Prof. Dr. C. Salgado Guimarães da Silva
Verplichte literatuur	Titel Auteur ISBN Prijs Algebraic Structures 2017 Jaap Top
Entreevoorwaarden	The course unit assumes prior knowledge acquired from Group Theory and Linear Algebra 1 and 2.
Opmerkingen
Opgenomen in	Opleiding Jaar Periode Type BSc Courses for Exchange Students: AI - Computing Science - Mathematics - semester II b BSc Mathematics and Physics (double degree) 2 semester II b verplicht BSc Mathematics: General Mathematics  ( Major track General Mathematics) 2 semester II b verplicht BSc Mathematics: Probability and Statistics 3 semester II b keuze BSc Technische Wiskunde 3 semester II b keuze