M9511 Seminar on high-school mathematics 3

Faculty of Science
Autumn 2011 - acreditation

The information about the term Autumn 2011 - acreditation is not made public

Extent and Intensity
0/2/0. 1 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Pavel Šišma, Dr. (lecturer)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
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
Basics of 3-D geometry. Combinatorics and probability. Solving of problems of Olympiad of Mathematics. At the end of the course students should be able to: put these themes into the context of secondary-school mathematics; solve more difficult tasks of these themes including problems of the lower levels of Olympiad of Mathematics.
Syllabus
  • Basic concepts: layer- and metric- properties of 3-D objects
  • ations without and with repetitions, clasical probability.
Literature
  • 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
  • POMYKALOVÁ, Eva. Matematika pro gymnázia :stereometrie. 3. vyd. Praha: Prometheus, 1995, 223 s. ISBN 80-7196-178-7. info
  • CALDA, Emil and Václav DUPAČ. Matematika pro gymnázia :kombinatorika, pravděpodobnost a statistika. 1. vyd. Praha: Jednota českých matematiků a fyziků, 1993, 163 s. ISBN 80-7015-444-6. info
  • HERMAN, Jiří, Radan KUČERA and Jaromír ŠIMŠA. Seminář ze středoškolské matematiky. 1. vyd. Brno: Masarykova univerzita, 1998, 35 s. ISBN 8021009284. info
  • HERMAN, Jiří, Radan KUČERA and Jaromír ŠIMŠA. Counting and Configurations: Problems in Combinatorics, Arithmetic, and Geometry. 1st ed. New York: Springer-Verlag, 2003, 410 pp. Canadian Mathematical Society Books in Math., 12. ISBN 0-387-95552-6. info
Teaching methods
Presentations by students, class discussion.
Assessment methods
Obliged attendance, individually dispose two essays. Credit.
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 Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, 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 2015, Autumn 2016, autumn 2017, Autumn 2018.