Elementary Number Theory
|Course ID:||0600-MS1-1ETL#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|
(in Polish) 3L stac. I st. studia matematyki specj. matematyka teoretyczna – przedmioty obowiązkowe
|ECTS credit allocation (and other scores):||
view allocation of credits
|Type of course:||
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.
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
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
Direct interaction with the teacher: 68 h., 2 ECTS
Practical exercises: 70 h., 2 ECTS
K.H. Rosen, Elementary number theory and its applications,
Third edition, Addison-Wesley Publishing Company, Book
Program, Reading, MA, 1993.
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:||2018-10-01 - 2019-06-30||
see course schedule
|Type of class:||
Class, 30 hours more information
Lecture, 30 hours more information
|Students list:||(inaccessible to you)|
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