M8502 Selected topics of school mathematics

Faculty of Science
Autumn 2005
Extent and Intensity
2/0/0. 2 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
Contact Person: doc. RNDr. Jaromír Šimša, CSc.
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. The course teaches skills and techniques that are useful especially when preparing talented, mathematically gifted pupils.
Syllabus
  • Types of mathematical proofs and their examples in different areas of mathematics. Principle of mathemtical induction. Pigeonhole principle. Continued fractions - theory and applications. Symmetry in algebra and geometry. Less known elements and properties of general triangles. Geometry of masses: center of gravity and momentum of inertia. Classic algebraic inequalities and their applications. Introduction to the theory of functional equations. Vector methods in geometry.
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 2010 - only for the accreditation, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021.
  • Enrolment Statistics (Autumn 2005, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2005/M8502