MUC34 Algebra applications seminar

Faculty of Science
Autumn 2019
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
prof. RNDr. Radan Kučera, DSc. (lecturer)
Guaranteed by
prof. RNDr. Radan Kučera, DSc.
Department of Mathematics and Statistics - Departments - Faculty of Science
Supplier department: Department of Mathematics and Statistics - Departments - Faculty of Science
Timetable of Seminar Groups
MUC34/01: Thu 16:00–17:50 M6,01011, R. Kučera
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
The aim of this seminar is to support future teachers of mathematics by giving them some concrete algebraic examples to explain the usefulness of mathematics to their pupils/students.
Learning outcomes
After this subject a student will be able to explain some practical algebraic applications to his pupils/students.
  • Encryption: RSA
  • Coding: self-correcting codes
  • Compass and ruler construction: impossibility of squaring of a circle, trisection of an angle, doubling of a cube
  • Linear models
  • Iteration processes: Perron and Frobenius theory for primitive matrices
  • Graph theory: there are only 5 convex regular polyhedra (the Platon ones)
  • Combinatorics: Burnside's lemma
  • Infomation concerning the book series "Škola mladých matematiků"
Teaching methods
Lectures followed by discussions.
Assessment methods
Semester paper explaining to a reader on the level of a secondary school student a chosen example of a practical algebraic application.
Language of instruction
Further Comments
Study Materials

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