Ma3DC_KMS3 Solving of Mathematical Problems

Faculty of Education
Autumn 2015
Extent and Intensity
0/8/0. 1 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Karel Lepka, Dr. (seminar tutor)
PhDr. Jiřina Novotná, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
Ma3DC_KMS3/01: Fri 30. 10. 9:20–12:50 učebna 3, Fri 11. 12. 12:05–15:35 učebna 3, K. Lepka
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
The aim of the course is to present various methods of solving mathematical problems. At the end of the course students should be able to solve selected problems and discuss the exciting, often non-trivial, relations.
Syllabus
  • Pythagoras theorem and related topics, Euclidean constructions, specific Diophantine equations, periodic tilings and symmetries.
Literature
  • EUKLEIDÉS. Eukleidovy Základy : Elementa. V Praze: Nákladem Jednoty českých mathematiků, 1907, 314 s. info
  • DEVLIN, Keith J. Jazyk matematiky : jak zviditelnit neviditelné. Praha: Argo, 2002, 343 s. ISBN 8086569098. info
  • HERMAN, Jiří, Radan KUČERA and Jaromír ŠIMŠA. Metody řešení matematických úloh I. 2., přeprac. vyd. Brno: Masarykova univerzita, 1996, 278 s. ISBN 80-210-1202-1. info
  • THIELE, Rüdiger. Matematické důkazy. Translated by Alois Kufner - Štefan Schwabik. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 160 s. URL info
  • COXETER, H. S. M. and Samuel L. GREITZER. Geometry revisited. Washington: Mathematical Association of America, 1967, xiv, 193. ISBN 0883856190. info
Teaching methods
Lectures.
Assessment methods
Individual homework, one written test.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Information on the extent and intensity of the course: 8 hodin.
Teacher's information
https://is.muni.cz/auth/el/1441/podzim2008/MA2BP_SMR1/op/index.html
The course is also listed under the following terms Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2016, Autumn 2017.
  • Enrolment Statistics (Autumn 2015, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn/Ma3DC_KMS3