M9503 Selected topics of school mathematics

Faculty of Science
spring 2012 - acreditation

The information about the term spring 2012 - acreditation is not made public

Extent and Intensity
2/0/0. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 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
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
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
At the end of the cours student should be more deeply acquitanted with 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
Teaching methods
Lectures supported by individual reading and moderated group discussions.
Assessment methods
Colloquium as a written test.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
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 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021.