MA2BP_CAL3 Algebra 3 - Seminar

Faculty of Education
Autumn 2016
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Břetislav Fajmon, Ph.D. (seminar tutor)
Mgr. Jan Fikejs (seminar tutor)
PhDr. Jiřina Novotná, Ph.D. (seminar tutor)
Mgr. Jitka Panáčová, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Contact Person: doc. RNDr. Jaroslav Beránek, CSc.
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
MA2BP_CAL3/T01: Mon 26. 9. to Thu 22. 12. Tue 10:15–11:50 učebna 70, Wed 10:15–11:50 učebna 70, J. Fikejs, J. Novotná, Nepřihlašuje se. Určeno pro studenty se zdravotním postižením.
MA2BP_CAL3/01: Thu 15:45–17:25 učebna 24, B. Fajmon
MA2BP_CAL3/02: Wed 16:40–18:20 učebna 25, J. Panáčová
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
At the end of this course, students should be able to: understand and be able to explain basic notions and theorems of number theory. Exploitations of number theory in teaching of mathematics.
Syllabus
  • Divisibility of natural numbers, proofs of chosen theorems. The gratest common divisor, the least common multiple, exercises. Prime numbers and some of their interesting properties. Congruence of a single variable and their solutions. Indefinite equations. Euler's function, Euler's theorem, arithmetic functions
Literature
  • Znám, Štefan. Theória čísel. 1. vyd. Bratislava: Alfa, 1986. 207 s.
  • KOWAL, Stanisław. Matematika pro volné chvíle : (zábavou k vědě). Translated by Jiří Jarník. 2., upr. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 323 s. URL info
  • BIAŁAS, Aleksander. O dělitelnosti čísel. Translated by Pavel Vít. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1966, 97 s. info
  • VINOGRADOV, Ivan Matvejevič. Základy theorie čísel. Translated by I. M. Hrázský. 1. vyd. Praha: Československá akademie věd, 1953, 173 s. info
Teaching methods
Lecture providing to students an insight into the calculus of a structure of all inegers and natural numbers with aiming on mathematics of basic school.
Assessment methods
Written exam (60 %), credit
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2017, Autumn 2019.
  • Enrolment Statistics (Autumn 2016, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2016/MA2BP_CAL3