Course: Mathematical "Olympics" Problems

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Course title Mathematical "Olympics" Problems
Course code KMT/ÚMO
Organizational form of instruction Seminar
Level of course Master
Year of study 2
Semester Winter
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • Honzík Lukáš, PhDr. Ph.D.
Course content
History of competition in mathematics. Problems selected from those solved in past and current year of Mathematical Olympiad concerning number theory (determinative and proof problems), algebra, functions, planimetry (determinative and proof problems), goniometry and trigonometry, stereometry, combinatorics and combinatorial geometry, sequences and series, analytic geometry in plane and space, complex numbers.

Learning activities and teaching methods
Collaborative instruction, Students' portfolio, Seminar classes, Individual study, Self-study of literature, Seminar
  • Contact hours - 39 hours per semester
  • Presentation preparation (report) (1-10) - 39 hours per semester
prerequisite
Knowledge
ovládat matematický jazyk a postupy na úrovni bakalářského studijního programu Matematika se zaměřením na vzdělávání
Skills
ovládat matematický jazyk a postupy na úrovni bakalářského studijního programu Matematika se zaměřením na vzdělávání
learning outcomes
Knowledge
vymezit základní oblasti, do nichž spadají úlohy matematické olympiády
orientovat se v organizaci soutěže
popsat některé metody řešení úloh matematické olympiády
Skills
vysvětlit postup řešení zvolených úloh matematické olympiády
provést kontrolu korektnosti předloženého řešení úlohy
teaching methods
Knowledge
Collaborative instruction
Self-study of literature
Individual study
Students' portfolio
Seminar
Seminar classes
One-to-One tutorial
Task-based study method
Skills
Skills demonstration
Seminar
Task-based study method
One-to-One tutorial
Discussion
assessment methods
Knowledge
Individual presentation at a seminar
Continuous assessment
Self-evaluation
Skills
Skills demonstration during practicum
Continuous assessment
Self-evaluation
Recommended literature
  • Sborníky jednotlivých ročníků MO, aktuální materiály na www-stránkách.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): BS Teacher Training in Mathematics (18) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): BS Teacher Training in Mathematics (19) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): BS Teacher Training in Mathematics (17) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter