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PřF:MUC34 Algebra applications seminar - Course Information

## MUC34 Algebra applications seminar

**Faculty of Science**

Autumn 2019

**Extent and Intensity**- 0/2/0. 2 credit(s). Type of Completion: z (credit).
**Teacher(s)**- 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.
**Syllabus**- 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"

**Literature**- PANÁK, Martin, Jan SLOVÁK and Michal BULANT.
*Matematika drsně a svižně (Brisk quide to mathematics)*. 2013. ISBN 978-80-210-6307-5. doi:10.5817/CZ.MUNI.O210-6380-2013.*Základní učebnice matematiky pro vysokoškolské studium. Na MU využívána zejména jako podpora výuky matematiky na Fakultě informatiky.*info

- PANÁK, Martin, Jan SLOVÁK and Michal BULANT.
**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**- Czech
**Further Comments**- Study Materials

- Enrolment Statistics (recent)

- Permalink: https://is.muni.cz/course/sci/autumn2019/MUC34