Elementary Number Theory 0600-MS1-1ETL
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
Type of course
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 criteria
The overall form of credit for the course: final exam
Bibliography
K.H. Rosen, Elementary number theory and its applications,
Third edition, Addison-Wesley Publishing Company, Book
Program, Reading, MA, 1993.
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: