Elementary Number Theory
General data
Course ID:  0600MS11ETL#a  Erasmus code / ISCED:  11.101 / (0541) Mathematics 
Course title:  Elementary Number Theory  Name in Polish:  Elementary Number Theory 
Department:  Faculty of Mathematics and Informatics  
Course groups: 
(in Polish) 3L stac. I st. studia matematyki specj. matematyka teoretyczna – przedmioty obowiązkowe 

ECTS credit allocation (and other scores): 
4.00 view allocation of credits 

Language:  English  
Type of course:  obligatory courses 

Short description: 
Course objectives: To deliver elements of knowledge which are needed to obtain the ability to express the facts from elementary number theory in terms of groups and rings. 

Full description: 
Course profile: academic Form of study: stationary Course type: obligatory Academic discipline: Mathematics, field of study in the arts and science: mathematics Year: 1, semester: 1 Prerequisities: none lecture 30 h. exercise class 30 h. Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups. ECTS credits: 4 Balance of student workload: attending lectures15x2h = 30h attending exercise classes 7x4h + 2h(preliminary teaching) = 30h preparation for classes 7x3h = 21h completing notes after exercises and lectures 7x2h = 14h consultations 5x1h = 5h the final examination: preparation.and take 12h + 3h = 15h Quantitative description Direct interaction with the teacher: 68 h., 2 ECTS Practical exercises: 70 h., 2 ECTS 

Bibliography: 
K.H. Rosen, Elementary number theory and its applications, Third edition, AddisonWesley Publishing Company, Book Program, Reading, MA, 1993. 

Learning outcomes: 
Learning outcomes: A student is prepared to express the facts from elementary number theory in terms of groups and rings. K_W04, K_W05, K_W06, K_W02, K_U01, K_U02, K_U06 A student is able to find the canonical decomposition of a positive integer, of an integer and of a rational number; a student is able to find the greatest common divisor and the least common multiple of integers; a student is able to solve linear Diophantine equations; a student is able to find solutions of congruences; a student can apply modular arithmetic; a student can apply the Legendre symbol; a student is able to express a real number as a continued fraction; a student is able to find the values of basic arithmetic functions.K_U03, K_U08, K_W02, K_U01, K_U02, K_U06 

Assessment methods and assessment criteria: 
The overall form of credit for the course: final exam 
Classes in period "Academic year 2018/2019" (in progress)
Time span:  20181001  20190630 
see course schedule 
Type of class: 
Class, 30 hours more information Lecture, 30 hours more information 

Coordinators:  Jarosław Kotowicz  
Group instructors:  (unknown)  
Students list:  (inaccessible to you)  
Examination:  Examination 
Copyright by University of Bialystok.