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Course, academic year 2019/2020
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Methods for Solution of Mathematical Problems - NMUM307
Title in English: Metody řešení matematických úloh
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: winter
E-Credits: 2
Hours per week, examination: winter s.:0/2 C [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: doc. RNDr. Oldřich Odvárko, DrSc.
Class: M Bc. MZV
M Bc. MZV > Povinné
Classification: Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Incompatibility : NMUM811, NUMV043
Interchangeability : NMUM811, NUMV043
Annotation -
Last update: T_KDM (02.12.2014)
More difficult problems of secondary school mathematics solved by non-traditional methods.
Course completion requirements - Czech
Last update: doc. RNDr. Oldřich Odvárko, DrSc. (05.10.2017)

1. Aktivní účast na semináři, povoleny jsou nejvýše tři absence. V odůvodněných případech lze vyšší počet absencí nahradit vypracováním seminárních úkolů.

2. Prezentace řešení jedné zadané úlohy z MO a následné vzorové písemné zpracování různých metod řešení této úlohy.

3. Úspěšné absolvování zápočtového testu z úloh středoškolské matematiky.

Literature -
Last update: doc. RNDr. Oldřich Odvárko, DrSc. (02.12.2014)

Only in Czech:

  • Odvárko, O. a kol., Metody řešení matematických úloh, SPN, Praha 1990
  • Robová, J. a kol., Sbírka aplikačních úloh ze středoškolské matematiky, Prometheus, Praha 2014
  • Mathematical olympiad problem collections

Teaching methods -
Last update: doc. RNDr. Oldřich Odvárko, DrSc. (02.12.2014)

The seminar puts emphasis on students' independent work and discussion in terms of the adequacy and effectiveness of the methods of the problem solving. The students elaborate a project to solve given problems from Mathematical Olympiad, the professional and methodological level of the project processing is monitored.

Syllabus -
Last update: doc. RNDr. Oldřich Odvárko, DrSc. (02.12.2014)

The more difficult task of secondary school mathematics solved non-traditional methods.

Content

1. Logic problems.

2. Proof methods.

3. Equations and inequalities (also their systems), algebraic and graphic solution.

4. Geometric problems in plane and space, synthetical and analytical solution.

Methods

1. Didactics aspects of the problems solving in mathematics.

2. Creation of mathematical tasks and projects.

 
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