MA2BP_SMR1 Solving of Mathematical Problems 1

Faculty of Education
Autumn 2009
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Jaroslav Beránek, CSc. (seminar tutor)
doc. Mgr. Vojtěch Žádník, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
MA2BP_SMR1/01: Mon 8:50–10:30 učebna 32, V. Žádník
MA2BP_SMR1/02: Wed 10:40–11:25 učebna 37, Wed 12:30–13:15 učebna 32, V. Žádník
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
  • STEWART, Ian. Odsud až do nekonečna : průvodce moderní matematikou. Translated by Hana Nyklová. Vyd. 1. Praha: Argo, 2006, 365 s. ISBN 8072037757. info
  • HARTSHORNE, Robin. Geometry : Euclid and beyond. New York: Springer, 2000, xi, 526. ISBN 0387986502. 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
Teaching methods
Seminar.
Assessment methods
Individual work, written test.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
Teacher's information
https://is.muni.cz/auth/el/1441/podzim2009/MA2BP_SMR1/op/index.html
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2010.
  • Enrolment Statistics (Autumn 2009, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2009/MA2BP_SMR1