Elementary Number Theory 360-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
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Term 2022:
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Term 2023:
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Prerequisites (description)
Course coordinators
Type of course
Mode
Learning outcomes
Learning outcomes:
A student is prepared to express the facts from elementary number theory in terms of groups and rings.
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 KA6_WG01, KA6_WG02, KA6_WG03, KA6_WG04, KA6_WG07, KA6_WK01, KA6_WK03, KA6_UW02, KA6_UW03, KA6_UW04, KA6_UW05, KA6_UW15, KA6_UW18, KA6_UW25, KA6_UK01, KA6_UK02, KA6_UK03, KA6_UK04, KA6_UK05, KA6_UU01, KA6_UU02, KA6_KK01, KA6_KK02, KA6_KR01.
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.
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Notes
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Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: