MA2RC_MRU1 Solving of Mathematical Problems

Faculty of Education
Spring 2015
Extent and Intensity
0/0/8. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
prof. Mgr. Pavel Řehák, Ph.D. (lecturer)
Guaranteed by
PhDr. Jiřina Novotná, Ph.D.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
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
Consultation
Assessment methods
Individual homework, one written test.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: in blocks.
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 Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2016, Spring 2017, Spring 2020, Spring 2021, Spring 2022, Spring 2023.
  • Enrolment Statistics (Spring 2015, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2015/MA2RC_MRU1