M9503 Selected topics of school mathematics

Faculty of Science
Spring 2006
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.
Timetable
Tue 11:00–12:50 UP1
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 also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2007, Spring 2008, Spring 2009, 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 2006, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2006/M9503