M9503 Selected topics of school mathematics

Faculty of Science
Spring 2009
Extent and Intensity
2/0/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: k (colloquium).
Teacher(s)
doc. RNDr. Jaromír Šimša, CSc. (lecturer)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Tue 16:00–17:50 M2,01021
Prerequisites (in Czech)
M4502 Mathematical Analysis 3
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
A series of lectures on deeper questions and topics from the areas of mathematics that are included in the high-school mathematics programe. After passing the course, students should be able to understand presented topics, to teach them in secondary schools especially when preparing talented, mathematically gifted pupils.
Syllabus
  • Planar trigonometry. Less known elements and properties of general triangles. Geometry of masses: center of gravity and momentum of inertia. Vector methods in geometry.
Literature
  • ŠIMŠA, Jaromír. Potenciální energie a rovnováha sil v geometrii (Potential energy and balance of forces in geometry). Rozhledy matematicko-fyzikální. Praha: Jednota českých matematiků a fyziků, 2000, vol. 77, p. 12-29. ISSN 0035-9343. info
  • ŠIMŠA, Jaromír. Archimédova statika v geometrii (Archimedes statics in geometry). Rozhledy matematicko-fyzikální. Praha: Jednota českých matematiků a fyziků, 1997, vol. 74, p. 14-24. ISSN 0035-9343. info
  • HERMAN, Jiří, Radan KUČERA and Jaromír ŠIMŠA. Metody řešení matematických úloh II (Methods how to solve mathematics exercises II). Brno: Masarykova univerzita Brno, 1997, 355 pp. ISBN 80-210-1630-2. info
  • ŠIMŠA, Jaromír. Rotační setrvačnost v geometrii (Rotational inertia in geometry). Rozhledy matematicko-fyzikální. Praha: Jednota českých matematiků a fyziků, 1997, vol. 74, p. 145-158. ISSN 0035-9343. info
  • ŠVRČEK, Jaroslav and Jiří VANŽURA. Geometrie trojúhelníka. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1988, 248 s. URL info
Assessment methods
Lecture 2 hours a week. Colloquium in a written form.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2006, Spring 2007, Spring 2008, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021.
  • Enrolment Statistics (Spring 2009, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2009/M9503