Course: Selected Chapters in Arithmetics

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Course title Selected Chapters in Arithmetics
Course code KMT/VKAQ
Organizational form of instruction Seminar + On-line Activities
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 2
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Dofková Radka, doc. PhDr. Ph.D.
  • Pastor Karel, doc. Mgr. Ph.D.
  • Zdráhal Tomáš, doc. RNDr. CSc.
Course content
Relation between individual numeral structures. More detailed insight into the algorithms of numeric operations. Formation of complex numbers due to the practical need for solving impedance in electric circuits. Hypercomplex systems (element of quaternions - at least outline).

Learning activities and teaching methods
Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming)
Learning outcomes
The course covers Peano axioms for the natural numbers, numeral systems with general radices, and basic operations in these systems. Also, constructions of numeral structures, including the division ring of complex numbers, are performed.

Prerequisites
unspecified

Assessment methods and criteria
Mark, Analyssis of the Student's Portfolio

Active participation in the lessons and the elaboration of a seminar paper.
Recommended literature
  • BLAŽEK, J. a kol.: Algebra a teoretická aritmetika 1, 2. Praha: SPN, 1983, 1985.14-514-83, 14-470-85..
  • KATRIŇÁK, T. a kol.: Algebra a teoretická aritmetika 1. Bratislava, Praha: ALFA, SNTL, 1985. 63-568-85..
  • KOPECKÝ, M.: Aritmetika, pracovní skriptum, Olomouc, UP, 1999.
  • ŠALÁT, T. a kol.: Algebra a teoretická aritmetika 2. Bratislava, Praha: ALFA, SNTL, 1986. 63-554-86..


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester